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##### Iiectn"graph of f (1) = 75
Iiectn" graph of f (1) = 75...
##### Violin string of length 42 cm and mass 1.3 has frequency of 468 Hz when it is vibrating in its fundamenta mode What is the wavelength of the standing wave on the string? cmWhat is the tension in the string?Where should you place your finger to increase the frequency to 618 Hz? cm from the fixed end of the string (from the peg of the violin)
violin string of length 42 cm and mass 1.3 has frequency of 468 Hz when it is vibrating in its fundamenta mode What is the wavelength of the standing wave on the string? cm What is the tension in the string? Where should you place your finger to increase the frequency to 618 Hz? cm from the fixed en...
##### AtT &9:12 PM11%instruct math Isa.umich eduPrevious ProblemProblem UstNext Problempoint) Match the direction fields labeled A through with the differential equation below:1.Y ="+) 2/ =[-ry3/ => -2x 4.y 7J+2SiErCEceIIctl
AtT & 9:12 PM 11% instruct math Isa.umich edu Previous Problem Problem Ust Next Problem point) Match the direction fields labeled A through with the differential equation below: 1.Y ="+) 2/ =[-ry 3/ => -2x 4.y 7J+2 SiErCEceIIctl...
##### 1. Find the first partial derivatives of the function f(z,y) = ctan (22y) _ 2. Use implicit differentiation to find 82 and where cos(cz) ez!yz3. If f isa differentiable function of one variable, findandwhere2 = f(e)Find all the second partial derivatives of 2 = Vzy? +1 5. If fisa differentiable function of one variable and 2 = % + f(z? _ y? ) show that ybz + x82 =x
1. Find the first partial derivatives of the function f(z,y) = ctan (22y) _ 2. Use implicit differentiation to find 82 and where cos(cz) ez!yz 3. If f isa differentiable function of one variable, find and where 2 = f(e) Find all the second partial derivatives of 2 = Vzy? +1 5. If fisa differentiable...
##### 6a, How can a fibroblast produce a fiber many times its own length? (1M)6b. In what areas of the body would the elasticity of the elastin fibers be advantageous? (1M)Digestive tract, skeletal joints,6c: Which tissues in the body require the greatest strength? Explain your answer. (1M)6d_ Are all the fibers in a tendon oriented in the same direction? Of what importance is this? (1M)
6a, How can a fibroblast produce a fiber many times its own length? (1M) 6b. In what areas of the body would the elasticity of the elastin fibers be advantageous? (1M) Digestive tract, skeletal joints, 6c: Which tissues in the body require the greatest strength? Explain your answer. (1M) 6d_ Are all...
##### Differentiate: flx) =InleZxe2x2 ~Zxe ~2xe) None of these
Differentiate: flx) =Inle Zxe 2x2 ~Zxe ~2x e) None of these...
##### ECTION B(26 MARKS)L.l Use implicil dilferentialOn t0 caleulale the slope' Of the tangent line [0 the curve 8xy Zx'y3 = xal (1;1) 1.2 Skeleh he' gruph ol a furxlion thal salisfies the given conditions f(-3) =-3,f(-2) =0,f'(-1) = 15,f'(0) = 1,f'(1) = 15, f(2) = 0,f(3) = 3 (Also: indicales all the reltive exrema) Sketeh the graph of some funelion thal meels the following condilions: The fuune lion is conlinuous_Has [wo relalive minimuIS.One ol' relalive minimUms i
ECTION B (26 MARKS) L.l Use implicil dilferentialOn t0 caleulale the slope' Of the tangent line [0 the curve 8xy Zx'y3 = xal (1;1) 1.2 Skeleh he' gruph ol a furxlion thal salisfies the given conditions f(-3) =-3,f(-2) =0,f'(-1) = 15,f'(0) = 1,f'(1) = 15, f(2) = 0,f(3) =...
##### (a) Kanitlaymn: A ~ B ve â‚¬ ~D ise Ax â‚¬ ~B x D. (15 PUAN)(b) Kanitlayin: A x (B - C) = (AxB) - (Axc)(15 PUAN)
(a) Kanitlaymn: A ~ B ve â‚¬ ~D ise Ax â‚¬ ~B x D. (15 PUAN) (b) Kanitlayin: A x (B - C) = (AxB) - (Axc)(15 PUAN)...
##### 37 Answer:Ifa wheel rotates with an angular velocity of radians per second, how many cycles will it complete in 1 minute?Answer: 1412Triangle ABC is a right triangle with C theright angle. Find the measure of angle B (to the nearest degree) ifb measures 8.5 cm and a measures 6.7 cm_
37 Answer: Ifa wheel rotates with an angular velocity of radians per second, how many cycles will it complete in 1 minute? Answer: 1412 Triangle ABC is a right triangle with C the right angle. Find the measure of angle B (to the nearest degree) ifb measures 8.5 cm and a measures 6.7 cm_...
##### Silicon, at $T=300 mathrm{~K}$, is doped at $N_{d 1}=10^{15} mathrm{~cm}^{-3}$ for $x<0$ and $N_{d 2}=5 imes 10^{16} mathrm{~cm}^{-3}$for $x>0$ to form an $n-n$ step junction. ( $a$ ) Sketch the energy-band diagram. (b) Derive an expression for $V_{b i}$. $(c)$ Sketch the charge density, electric field, and potential through the junction. ( $d$ ) Explain where the charge density came from and is located.
Silicon, at $T=300 mathrm{~K}$, is doped at $N_{d 1}=10^{15} mathrm{~cm}^{-3}$ for $x<0$ and $N_{d 2}=5 imes 10^{16} mathrm{~cm}^{-3}$ for $x>0$ to form an $n-n$ step junction. ( $a$ ) Sketch the energy-band diagram. (b) Derive an expression for $V_{b i}$. $(c)$ Sketch the charge density, ele...
##### An object oscillates as it moves along the X-axis. Its displacement varies with time according to the equation X=4 sin(Tt + 3 where t = time in seconds and x = displacement in meters What is the displacement between t = 0 and t = 1 second? [ ? 1 meters
An object oscillates as it moves along the X-axis. Its displacement varies with time according to the equation X=4 sin(Tt + 3 where t = time in seconds and x = displacement in meters What is the displacement between t = 0 and t = 1 second? [ ? 1 meters...
##### Use the drawings where provided to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest lenth of a unit. The pitch or slope of a roofline is 5 to $12 .$ Find the measure of angle $\alpha$. (GRAPH CAN'T COPY)
Use the drawings where provided to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest lenth of a unit. The pitch or slope of a roofline is 5 to $12 .$ Find the measure of angle $\alpha$. (GRAPH CAN'T COPY)...
##### A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. See the figure. (FIGURE CAN'T COPY) (a) Express the total area $A$ enclosed by the pieces of wire as a function of the length $x$ of a side of the square. (b) What is the domain of $A ?$ (c) Graph $A=A(x)$. For what value of $x$ is $A$ smallest?
A wire 10 meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. See the figure. (FIGURE CAN'T COPY) (a) Express the total area $A$ enclosed by the pieces of wire as a function of the length $x$ of a side of the square. (b...
##### Find the first derivative for the following function:3 y Mt sec x5 CSc ?
Find the first derivative for the following function: 3 y Mt sec x 5 CSc ?...
##### Consider the following hypothesistest Ho:Î¼=40 ; H1:Î¼>40.Ho:Î¼=40 ; H1:Î¼>40. Asample of 36 provided a sample mean of 41.96. If the populationstandard deviation is 6, then the p-value of the test isSelect one:a. 0.1b. 0.01c. 0.025d. 0.05
Consider the following hypothesis test Ho:Î¼=40 ; H1:Î¼>40.Ho:Î¼=40 ; H1:Î¼>40. A sample of 36 provided a sample mean of 41.96. If the population standard deviation is 6, then the p-value of the test is Select one: a. 0.1 b. 0.01 c. 0.025 d. 0.05...
##### Suppose that you want to use the synthetic division to find thequotient x - x^5/x - 1. How would you write the coefficient of thedividend?
Suppose that you want to use the synthetic division to find the quotient x - x^5/x - 1. How would you write the coefficient of the dividend?...
##### 1. Using any enzyme of your choice as an example, explain how enzymes accelerate biological reactions_ What considerations would guide the design of a molecule to serve as specific enzyme inhibitor? 2 Discuss some possible mechanisms through which enzymes or organisms could be used in bioremediation.
1. Using any enzyme of your choice as an example, explain how enzymes accelerate biological reactions_ What considerations would guide the design of a molecule to serve as specific enzyme inhibitor? 2 Discuss some possible mechanisms through which enzymes or organisms could be used in bioremediation...
##### Consider the integral2c(k ~y)? , dAwhere Ris the region enclosed by Ia| + lyl 1. Sketch the domain of integration and evaluate the integral using the transformation U~U and y = u+v
Consider the integral 2c(k ~y)? , dA where Ris the region enclosed by Ia| + lyl 1. Sketch the domain of integration and evaluate the integral using the transformation U~U and y = u+v...
##### (15 points) Considcr thc cquation y = ~2sin (4i+6) - 3 points) For thc sinc cquation givcn abovc, dctcrminc thcamplitudcpcriodphasc shiftvcrtical shift8 points) Find an cquation y Acos(Br +C) + D whosc graph is identical to thc graph of thc sinc cquation abovc. (Notc that A, C,and D may bc ncgativc Explain your thinking:
(15 points) Considcr thc cquation y = ~2sin (4i+6) - 3 points) For thc sinc cquation givcn abovc, dctcrminc thc amplitudc pcriod phasc shift vcrtical shift 8 points) Find an cquation y Acos(Br +C) + D whosc graph is identical to thc graph of thc sinc cquation abovc. (Notc that A, C,and D may bc ncga...
##### Dy 4y - y? dtthe book did in Example 7.2. Find the equilibrium solutions Show as many steps "001 Plot ? slope- held for 0 < t < 2 Choose ICs along the Y-axis and choose enough ICs (0 show at least 20 streamlines between equilibria: Include your plot with caption;
dy 4y - y? dt the book did in Example 7.2. Find the equilibrium solutions Show as many steps "001 Plot ? slope- held for 0 < t < 2 Choose ICs along the Y-axis and choose enough ICs (0 show at least 20 streamlines between equilibria: Include your plot with caption;...

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