5

AaBbCcDc AaDbCcDd Aab AaBbCcC AaBbCcDe Nanl TNo Spc _ Sublitk Subtle Em6 +pafaQraphStules35. The circulatory pathway serving the brain - called system serving the h...

Question

AaBbCcDc AaDbCcDd Aab AaBbCcC AaBbCcDe Nanl TNo Spc _ Sublitk Subtle Em6 +pafaQraphStules35. The circulatory pathway serving the brain - called system serving the hceantsenving the digestive aud the fctusDurg _ exercise blood flow to the (name the body organs)_ blood flow to the (name the organs) blood flow the (name the organs)SJSESDI decreases; JUELu: unchanged37. Continues capillaries are less more permeable (circle one) than and capillanies, because they have (name the feanures of cach type)

AaBbCcDc AaDbCcDd Aab AaBbCcC AaBbCcDe Nanl TNo Spc _ Sublitk Subtle Em 6 + pafaQraph Stules 35. The circulatory pathway serving the brain - called system serving the hceant senving the digestive aud the fctus Durg _ exercise blood flow to the (name the body organs)_ blood flow to the (name the organs) blood flow the (name the organs) SJSESDI decreases; JUELu: unchanged 37. Continues capillaries are less more permeable (circle one) than and capillanies, because they have (name the feanures of cach type): 38. Define cuculatory shock and list and describe the types of circulatory shock 39. Compare and contrast the components of the three larelt arterial and Ltuou wall 40. The Ogan(s) involved long ~term control of blood pressure Describe nuO] chcm mechanisms of blood pressure regulation. Blood pressure grcatest _ gradually drops almost Zero (nare the blood Vessel), and nmn the blood vessel) Resistance - blood flow increases the length ofa blood Vessel decreases mCreases (curcle O| blood viscosity decrease Ungrascs (circle one) blood vessel diameter dcccat mcreases (Circle Onle) . 43 - The process of regulating blood flow" Seuaau tu depends Onl the [1ssuc nceds called:



Answers

The blood vascular system consists of blood vessels (arteries,
arterioles, capillaries, and veins) that convey blood from the
heart to the organs and back to the heart. This system should
work so as to minimize the energy expended by the heart in
pumping the blood. In particular, this energy is reduced when
the resistance of the blood is lowered. One of Poiseuille's Laws
gives the resistance $R$ of the blood as
$$R=C \frac{L}{r^{4}}$$
where $L$ is the length of the blood vessel, $r$ is the radius, and $C$
is a positive constant determined by the viscosity of the blood.
(Poiseuille established this law experimentally, but it also fol-
lows from Equation 8.4 $.2 . . .$ The figure shows a main blood ves-
sel with radius $r_{1}$ branching at an angle $\theta$ into a smaller vessel
with radius $r_{2} .$
$$\begin{array}{l}{\text { (a) Use Poiseuille's Law to show that the total resistance of the }} \\ {\text { blood along the path } A B C \text { is }}\end{array}$$
$$R=C\left(\frac{a-b \cot \theta}{r_{1}^{4}}+\frac{b \csc \theta}{r_{2}^{4}}\right)$$
where $a$ and $b$ are the distances shown in the figure.
$$\begin{array}{c}{\text { (b) Prove that this resistance is minimized when }} \\ {\cos \theta=\frac{r_{2}^{4}}{r_{1}^{4}}}\end{array}$$
$$\begin{array}{l}{\text { (c) Find the optimal branching angle (correct to the nearest }} \\ {\text { degree) when the radius of the smaller blood vessel is two- }} \\ {\text { thirds the radius of the larger vessel. }}\end{array}$$

The problem is the blood was muscular. System consists off blood y sauce that come way Lord from the heart into the organs on the back to the heart. This this time should work so as to minimise energy. Undated By the heart pumping the blood in particular, this energy is reduced when the resistance of the broads is lower. One ofthe possibly snores gives the resistance are off the blood as art is equal to C have our overarching power off for while I r i all his land off the blood of my soul Art is the gliders and see it's a positive cast him to determine the puzzle will last Watson closet e off Brandt. Now let's look at it. It's a figure. It's a figure shows my implied Why so always writers are one brunching at an angle greater into a smaller wife. So wizard like there's hot too. The problem part a use parcel is law to showed that the total resistance out the blood long past ABC It is our secret state hams implant. Speak attendant data over our ones to the party for plus being have seen Costigan over are too is a power off for? For part A. The puzzle is law is ill. Our physical to sleep. L over onto the power ofthe war. Now let's look at this graph we can see. Maybe is the control eh? Minus it. Hams contend data we have to be. If they could train one speed, have school attendant on the PC is there too. He hams, Costigan data. Then we use the puzzle is small we have Are we going to see tams aim, honesty, contentment or are one to the public for us? Three times cause Sigmund over to the pub ofthe war. But be proof that this resistance is minimized One consigned, paid, Iet's go to I'm chiu to the parliament for over one to the power ofthe war Take curative yard. This is Echo Two faint house B R O r. One to the power wealth or tam's coincident. They had a square minus. You know where on too? To the party of four Cho Seon Bitter times Could attendant Yeah, this's equal to save me because Second there, squire, Over one two, the part ofthe war House one minus. I want to the power off or oh, are two to the power off or could tangent data or who's second? No. But here Crittendon Data or Costigan bidder is equal to who signed data. If we like we are. If there is a country zero, we have who signed, It's the truth are one to two to the power off or or want to the power ofthe war. So when theta is greater than cosigned, a worse to two parts off or well, I want the power off or we have already begun is, which is on cereal and thinner is more of a this number. And he already did. Eyes smaller than cereal on behalf. Why is the country cause I'LL co sign out? Sure to the power for over outline to the parole for or Whose scientific Isaac go to this number? Our has some minimal Why Do party find is up to no branching angle When the riders off the smaller blood, Why so is too thers? The writer's outside larger Wiesel. So we have two over one. If they wanted to third so call sign, they got to third the power of four. It is a part seventy nine degrees

Okay, so you're given with poisonous situation of resistance are Azari C L by Rs 24 Where sees proportionality constant And it is obtained by viscosity of the blood and is the length of the blood vessel and r is the radius of the blood vessel. We need to show that the point. We're using the poisons equation That total resistance along A B and C is Theis and B. We need to prove the resistance is minimum when we have caused datas are two days to follow. What are one ways to fourth and we need to find theater when the radios off smaller blood vessels to third off natural one. Okay, so let's start with a So we need to calculate the length, right? Rest all the data we have according to this formula. So length off, baby. So to find length of baby here we have a tangle. This so we need this length here. Right? And this land we calculated using angle this angle is given in this length is given. We need this length so we can use court Tater. So let me use your card theater. So called the ties at Justin upon apposite. Let's assume this lengthy sex x upon opposite be so we get access. Be caught, Tita. So length off a B. Okay, let me write Length off baby is a minus. Be courted and then we need length this right from B to C So length off B C. Now, in this case, we have opposite. We need high Putin ISS so we can use cassette theater. So let me use formula for cassette Theater Cassette theater is high putting us upon a deposit again Let's assume this lengthy off by putting his his ex so x or opposite, which is B So we get Bs So the excess be cassette, Tita And therefore that is the length of B C that is B cassette theater Now, using possibly situation we can write Our total resistance is C times l. She's a minus bi called theater over our one raise to four Right, Since we're calculating for a B plus BC So that is against see upon our two days to four Here be Grosek Tita. So you can take to see common and we'll be left with a minus. Bi got ETA over our when we and see So you see Have already taken out. So one Know what car? Two days to four b concept. Okay, so we got or up. Now we have to minimize our resistance. Okay, So to minimize will differentiate this function one time with respect to theater. So we'll get C. Here are one a defense station is zero minus B court Defense station is minus Cossacks square theater and in denominator, this is constant, which will remain as it is plus again. Here, be over. Rs two for is constant different station. Of course, Spectators minus because every time, too. Court ETA. Okay, this is first total different station. No. Now, for local minimal Maxima in the air by de Tita is equals to zero and this gives us see minus minus plus B Kosik square data. I had one days to food minus be are two days to food minus is taken already out. So this is Cosic Data Court Theater. Right? And this is a close to zero. So I'm solving this. We get caused theater. Is it caused toe raise to four upon our one ways to four And that is the angle that we can have and this will give us minimum value. Since here are two is less than our one right. And this angle is positive. Okay, so only the solution gives minimum wage. Okay, so we get got over cost hit a value. That is our solution for be normal solution. See, we just have to substitute the relation between our twin are one said the smaller, which is our two is two third off the larger one. Okay, so we substitute. This year we get cost data is equals to to third off the other one. There's 24 over our one race to four. So this gives us to raise to 4/3 days to four, and urban urban get canceled. So we're left with cost data on solving for theater. We get our answers. That is 1.37 degrees, which can be written us one degree. So that is an answer. Thank you.

All right in this question 58 we're going to try to find a solution three problems and then we or even know that T is equal to que times l warm over are one to the part of four plus l two over our two to borrow for so we know this expression. We can also produce the following expressions using the angle theta and also using at trigonometry skills from the figure by looking at the figure. So basically, l warm is gonna vehicle to al for minus C b. And from there, CB the length of CB is gonna be equal to l three times court engine data. And if I substitute there, l one So basically, if I substance the length of CB into the first equation so the L one is gonna be cooked to l four minus l three times contingency data it. And then we also know that l two is also equal to l three times cause second satar. So if I get all these things and try to put them back together into the original formula or original equation, we're going to get that tea is gonna be equal to okay. times l four minus l three times contingency data over our one to the father of four plus l three times Corsican theater over or two to the plot before. So which is the thing that we need to verify for this problem, for part or it important be we're gonna try to minimize this expression. So if I try to minimize expression, I need to focus on poor beats. I need to focus arm t prime Seita. And when it set, this equals you. So which means we're gonna find the first derivative of this expression with respect data and Saturday called zero and tried to solve the equation. Port data. All right, so let's do that. So, basically, Kate, times que times l three times for second square theta over are 12 department for so basically Corsican square theta is the the first derivative of potential data. That's where it's coming from and minus minus. L three times contingent Seda times cause sequinned data and divided by r two to the part of for equals zero. And this expression is the derivative off contingents. Uh, so the derivative, of course. Sequent Satar. All right, so, uh, if I solved. If I divide inside by key, this is gonna be able to just so que times. So since both of the terms are having the same common term, which is l of three. So if I take if I factor out of k times l of three. So we're going to get that, uh, cause second squared theta over our one to the problem for minus court. Ancient data times for second data over our two to depart for And this is gonna be called zero. And if I divide inside by k times l three. So this expression will be equal to cause seconds square Seita over our 12 bar before and minus contingent Seder times Coursey consider over our two department for its gonna vehicle zero. All right. And they find love, uh, this thing the second term over to another side. So we get that course Second squad data over our wants. The part of four will be equal to contain Geant Seda times consequent Saito over our two department for So let me is different color because we need We have some things to simplify. So it is gonna be cool. Just course second Corsican data and it's going to be gone. So basically, this expression is gonna be equal to cause second, sir Course sequined Fada over or want to A part of four will be Connecticut Angels data over our two appointment for and finally the finally are to, uh this expression is gonna be called after to some necessary in trigonometry and algebraic simplification that we're going to get this cosign theta is gonna be equal to R two over our one to the power for Okay, so we kind of we kind of get the solution in terms off pie like that's kind of implicit, but its coastline physical are two over. Our one is equal before that divide to department for or import see good import. See, So as showing the figure are too is smaller than our one and which is equals R two physical true, zero point 85 times are according to the problem. So basically, course science later. Remember this expression call sign theater was equal to are two over our one to the power for so basic the instead of putting are off to are too. If I put as your 0.85 times are Once we're going to get this consign, Fada is gonna be equal to 0.85 times are one over are one and to depart before. So this are ones are going to be gone. And from their call sign, Beta is gonna be equal. True, just 0.85 to department four. So once we calculate this expression on the right, the coast science data is gonna be a culture just 0.5 to 2 using our calculators. 006 Okay. And then from there, if I used the inverse coastline function, inverse trigonometry function later is gonna be equal to 1.2 15 plus two ply. And so, basically, it's gonna repeat for everything on the 60 degree. That's the answer for part C.

Home 14 is about the flow of blood in the kidneys. Put this little bean br kidney. This is the kidney. Blood is gonna enter and exit here in this little it's like indented portion of the kidney. Right in this. This little area is called the helium. OK, says the William. And so, of course, the blood supply started the hard, um, at the aorta and then a little branch into our our renal artery and renal. Yes, this means pertaining to the kidney. So of course, this is our kidney artery, because this is the kidney, all right? And then then similarly, they're gonna end here with the renal vein and says the kid, me vain little head back to the infuriating cable right back to the heart. So there's air coming from the heart and to the heart. One thing we know is that your kidneys have these sort of pyramids in that, right? So just draw a couple, they have quite a few, okay? And they'll play a role in sort of the construction of all these arteries, so each so the renal artery is gonna is gonna industry branch out into segmental arteries. Right? So is this is this is sort of, like, arbitrary splitting off in each direction. Okay, that would be our segmented. And those are gonna split us. Well, okay, so the splitting of Thesiger mint did. Really? Arteries is going to split into the Inter Lobel, right? And so this again is just sort of is a branching mechanism to Sidhu get some of these towards thes pyramids. Okay, so the next thing we have is tthe e into Lobel. All right, then. And then this gonna sort of start to hug our pyramids. Where is Luke? Start to, uh, wrapped right around the edges. Okay. And those ones that sort of start to huguely the pyramids there. Whether the ark, you it arc, you ate. And of course, these have to continue to branches. They That's the sort of the name of the game here which other form? The cortical arteries. OK, and so those just sort of look like these little little lions kind of coming out right this way, they say they radiate These are cortical arteries which are radiating and moves as well, but also that a branch off and two even smaller little days, which this picture does not do justice of okay. But then that said that even smaller one are the arterials. Okay, so the materials and then from there, that into the nef run. So you would be happy to know that there's no more branching, It gets no smaller. And the veins actually all sort of follow the same path and have the same name. So? So the there's the atrial artery and there's gonna be the atrial vein as well, right? And there's the the cortical artery. There's gonna be a cortical vain I really The only real difference here is that there are no no segmented veins. Okay? And then and so if we sort of follow, follow that, that path will see that the letter chose you want for this one is B.


Similar Solved Questions

5 answers
12. Only 4% of people have Type AB blood. On average how many people will have type AB blood out of sample of 25 people?probability that there is person with type AB blood in = sample of just people? What is the
12. Only 4% of people have Type AB blood. On average how many people will have type AB blood out of sample of 25 people? probability that there is person with type AB blood in = sample of just people? What is the...
5 answers
Use the formula A = Pe" If $5500 is deposited in an account at the bank and earns 9% annual interest; compounded continuously; what is the amount in the account; rounded to the nearest dollar; after 6 years?
Use the formula A = Pe" If $5500 is deposited in an account at the bank and earns 9% annual interest; compounded continuously; what is the amount in the account; rounded to the nearest dollar; after 6 years?...
3 answers
UhefIour nyitt You thouldCeciceSclub € taltspraenontcajont And €nontNpno aootcome cuon Kth anbaaa Dretent Stron9 0atct Teac Fo comp etion Stronq #odt, i no &tnet 048 > preecnt_ apalIntu
Uhef Iour nyitt You thould Cecice Sclub € talts praenont cajont And €nont Npno aoot come cuon Kth anbaaa Dretent Stron9 0atct Teac Fo comp etion Stronq #odt, i no &tnet 048 > preecnt_ apalIntu...
5 answers
Use partial pivoting On the matrixand determine the permutation Mattix the lower triangular matrix [ and the upper triangular [atrix U. such that PA LU. Verify vour answer HATLAB 01 Octave USing the COmand (L, U,P]-lu(a)(b) Use the LU Devompcition with partial pivoting to solve A x - bifb =
Use partial pivoting On the matrix and determine the permutation Mattix the lower triangular matrix [ and the upper triangular [atrix U. such that PA LU. Verify vour answer HATLAB 01 Octave USing the COmand (L, U,P]-lu(a) (b) Use the LU Devompcition with partial pivoting to solve A x - bifb =...
3 answers
(b) Assume that 100 observations from the ARMA(1,1) model gave the following estimates: 0 = Vor( It) 10 , P1 Corr( It, It_1) = 0.62, and p2 Corr( 12,. t-2) = 0.45_Find the method of moments estimates of 0, and &2
(b) Assume that 100 observations from the ARMA(1,1) model gave the following estimates: 0 = Vor( It) 10 , P1 Corr( It, It_1) = 0.62, and p2 Corr( 12,. t-2) = 0.45_ Find the method of moments estimates of 0, and &2...
5 answers
Answer the following M328 2021 questions about combinatorial objects:a) List all 2-combinations of the set B = {61, b2}b) List all 2-combinations with replacement of the set B.c) List all 2-permutations of the set B.d) List all 2-permutations with replacement of the set B_e) List all partitions of the set B.f) List all the partitions of the integer 3.g) Give the power set of B_
Answer the following M328 2021 questions about combinatorial objects: a) List all 2-combinations of the set B = {61, b2} b) List all 2-combinations with replacement of the set B. c) List all 2-permutations of the set B. d) List all 2-permutations with replacement of the set B_ e) List all partitions...
5 answers
How many distinct Idligit integers can 2,3 44777,obtain when arranging the I0 mumlr: 1. 1.(a) Find the number of positive divisors of the integer 2'.5' 11" . 13".
How many distinct Idligit integers can 2,3 44777, obtain when arranging the I0 mumlr: 1. 1. (a) Find the number of positive divisors of the integer 2'.5' 11" . 13"....
5 answers
Question #15Push m,Two blocks, m1 12.78 kg, and m2 5.03 kg; are in contact and are sitting on a horizontal, frictionless surface as shown on the right: Suddenly; block m1 is pushed rightward with a force of 43.2 NJDraw free-body diagrams for the blocks: b What is the acceleration of each block?m2
Question #15 Push m, Two blocks, m1 12.78 kg, and m2 5.03 kg; are in contact and are sitting on a horizontal, frictionless surface as shown on the right: Suddenly; block m1 is pushed rightward with a force of 43.2 NJ Draw free-body diagrams for the blocks: b What is the acceleration of each block? m...
5 answers
Q2/ Consider the initial value problem Y =x+y_1 'y(0) = 1. (A) Use the Runge-Kutta method with h 0.2 to find the starting values and approximate Y(0.8) (B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an apprOximation to y(0.8) (C) compare the approximation of y(0.8) in (A) and (B) with the value ofthe exact solution at y(0.8)-
Q2/ Consider the initial value problem Y =x+y_1 'y(0) = 1. (A) Use the Runge-Kutta method with h 0.2 to find the starting values and approximate Y(0.8) (B) Use Adams-Moulton technique of four order with h = 0.2 to obtain an apprOximation to y(0.8) (C) compare the approximation of y(0.8) in (A) ...
5 answers
Summarize the postulates of the kinetic molecular theory for gases. How does the kinetic molecular theory account for the observed properties of temperature and pressure?
Summarize the postulates of the kinetic molecular theory for gases. How does the kinetic molecular theory account for the observed properties of temperature and pressure?...
5 answers
Question 2Calculate the equilibrium concentration of all species in equilibrium mixture that results' (Te pumbn tle kuur from the decomposition of COCI, with an initial concentration ofo,100 M. 'Part 1 5 Runta Put 3: 5 Romfa COCl(9) co(g) Cl(9) 2.20 Part 3 $ eutnts Make the assumption that x is much smaller than the initial concentration of COCL , JmtfLhekena[COCL ] =[CO] =[CL]Validate the assumption:The uasumption ( valid bxcnusex i% of [COCI V
Question 2 Calculate the equilibrium concentration of all species in equilibrium mixture that results' (Te pumbn tle kuur from the decomposition of COCI, with an initial concentration ofo,100 M. 'Part 1 5 Runta Put 3: 5 Romfa COCl(9) co(g) Cl(9) 2.20 Part 3 $ eutnts Make the assumption tha...
4 answers
Determine whether the graph could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation.(FIGURE CAN'T COPY)
Determine whether the graph could represent a variable with a normal distribution. Explain your reasoning. If the graph appears to represent a normal distribution, estimate the mean and standard deviation. (FIGURE CAN'T COPY)...
1 answers
Fill in the blank. The_______of $y=\arccos (x)$ is $[0, \pi]$
Fill in the blank. The_______of $y=\arccos (x)$ is $[0, \pi]$...
5 answers
Hac-Rziii "0:B0 0.0N-HCD3 Ch?0- Ch?4-39ONHz
Hac-Rz iii "0: B 0 0.0 N-H C D 3 Ch? 0- Ch? 4-39 ONHz...
5 answers
For functions f(x) = (44x - 2)? and g(x) = () the composite function g( f(x)) equals:8,-4 (4)6) (V)-)"(4(2)" -)(2) (5-2'
For functions f(x) = (44x - 2)? and g(x) = () the composite function g( f(x)) equals: 8,-4 (4) 6) (V)-)" (4(2)" -) (2) (5-2'...
5 answers
Spaceship moves away from the earth a 0.548C, the captaln observes second spaceship (B) moving earth.the same dlrectionspeed0.518C relamveFind the speedrelativeSubmit Ansiver
spaceship moves away from the earth a 0.548C, the captaln observes second spaceship (B) moving earth. the same dlrection speed 0.518C relamve Find the speed relative Submit Ansiver...
5 answers
Quustou {Mandator) (1 point)Find the torque vector of the force (1,1,e}acting on rigid body at the point given by the position vector {2.3.040(1a,o{o.-1.o}{o,0.-1}0-1,1,0)(o.-1.1)(1,0,-1}61146-177
Quustou {Mandator) (1 point) Find the torque vector of the force (1,1,e}acting on rigid body at the point given by the position vector {2.3.040 (1a,o {o.-1.o} {o,0.-1} 0-1,1,0) (o.-1.1) (1,0,-1} 6114 6-177...

-- 0.020117--