Question
$17-20$ Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable. $$u=f(x, y), \quad \text { where } x=x(r, s, t), y=y(r, s, t)$$
$17-20$ Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable. $$u=f(x, y), \quad \text { where } x=x(r, s, t), y=y(r, s, t)$$
Answers
Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable.
$ u = f(x, y) $,
where $ x = x(r, s, t) $,
$ y = y(r, s, t) $
Similar Solved Questions
5 answers
16. 150g of Iron at 658C and 500g of an unknown material at 30"C was mixed in an insulated container. The final temperature of the mixture was 34.846PC Find the identily of the unknown liquid based on Its specific heat: Specific Heats of Common Materials MATERIAL SPECIFIC HEAT Aoulos qrm' Liqu d water Solid water (ice) Water vador Dry alr Basalt Granite 0.79 Iron 0.45 Copper 0.38 Lcad
16. 150g of Iron at 658C and 500g of an unknown material at 30"C was mixed in an insulated container. The final temperature of the mixture was 34.846PC Find the identily of the unknown liquid based on Its specific heat: Specific Heats of Common Materials MATERIAL SPECIFIC HEAT Aoulos qrm' ...
5 answers
ECI: Problem 9Previous ProblemProblem ListNext Problempoint) Let f(z)7xsin2 '(81) - Find f' (2)f' (2)Preview My AnswersSubmit AnswersYou have attempted this problem 0 times_ You have 3 attempts remaining:
ECI: Problem 9 Previous Problem Problem List Next Problem point) Let f(z) 7x sin2 '(81) - Find f' (2) f' (2) Preview My Answers Submit Answers You have attempted this problem 0 times_ You have 3 attempts remaining:...
5 answers
(worth 15 points) Fasting glucose levels for type Il diabetics is related to amount of weekly exercise. Let X be amount of exercise in minutes, and Y be fasting glucose level mgldL A clinical research study finds that X = 90,Sx 20, Y = 115,Sv = 8,andr=-0.7 (negative 0.7). Assume exercise times and glucose levels are normally distributed.What proportion of diabetics has glucose levels below 110? Draw a sketch of normal curve and shade in the proportion. t7" ' ||''0 "
(worth 15 points) Fasting glucose levels for type Il diabetics is related to amount of weekly exercise. Let X be amount of exercise in minutes, and Y be fasting glucose level mgldL A clinical research study finds that X = 90,Sx 20, Y = 115,Sv = 8,andr=-0.7 (negative 0.7). Assume exercise times and g...
5 answers
Stokes TheoremEach problem below describes an oriented surface with boundary and vector field F = (J,9,h}. Complete the following:Find parameterization and parameter domainbl forEvaluate the circulation integralhdz.Find curl(F) = VxF.Evaluate the surface flux integralcurl(F) . ndS.Verify Stokes' Theorem _ L.e, confirm thatdr + gdy + hdzILcu).nds F(c,y,2) = (2,1,-v}. Ais the right half of the unit sphere points toward the origin )
Stokes Theorem Each problem below describes an oriented surface with boundary and vector field F = (J,9,h}. Complete the following: Find parameterization and parameter domain bl for Evaluate the circulation integral hdz. Find curl(F) = VxF. Evaluate the surface flux integral curl(F) . ndS. Verify St...
5 answers
Mlou ? 7+24 6?=121am excluad & 79 ic6 #e IiPotuse # Sou} reglon SSS (os (x) &? dxdJ = 7 = Sing , fec 0$0r 9=Y X=0(IJK,e _
Mlou ? 7+24 6?=121 am excluad & 79 ic6 #e IiPot use # Sou} reglon SSS (os (x) &? dxdJ = 7 = Sing , fec 0$0r 9=Y X=0 (IJK,e _...
5 answers
Q 5_ Let Jv be the Bessel function of the first kind of order V (-l)mzm Jv = % 22m+vT(v + m + 1) rn==0 with the following derivative properties [~' Jv(w)]' = x" Jv-1(x) [x-vJs(c)] = -r vJv-+1(z)(a Represent {in terms of Jg (x) and J_! (c).(b) RepresentJa(r)dx in terms of Jo and J1-
Q 5_ Let Jv be the Bessel function of the first kind of order V (-l)mzm Jv = % 22m+vT(v + m + 1) rn==0 with the following derivative properties [~' Jv(w)]' = x" Jv-1(x) [x-vJs(c)] = -r vJv-+1(z) (a Represent { in terms of Jg (x) and J_! (c). (b) Represent Ja(r)dx in terms of Jo and J1...
4 answers
System GortainemoleMdnatomic 0asIncernaenergy ircreases 150temderaturz 3nongzMost iikely1QQShow My Work (Opta-/5 polntsMy NotesAsk Your TeacherDunno phase chanje From water, which the following statements Its klnetic energy molecules daes not changeunlikely to be true regarding the ice-water mix-ure?Its tempcratureriot chunacIts entropy docs not chanacIts heat exchange wich environment cannctShow My Work Ontanal
system Gortaine mole Mdnatomic 0as Incerna energy ircreases 150 temderaturz 3nongz Most iikely 1QQ Show My Work (Opta -/5 polnts My Notes Ask Your Teacher Dunno phase chanje From water, which the following statements Its klnetic energy molecules daes not change unlikely to be true regarding the ice-...
5 answers
Own before checking the book) (1 pt) 12. Name each the compounds shown below: (see if you can do it on YourCHOHDraw cerebroside (a sphingolipid with single sugar attached) that has stearic acid and galactose sugar: pt)14. Cholesterol is found in all mammalian cell membranes: Draw the structure of this compound. ( [ pt)higher percentage of unsaturated tatty Jeids in their fats than 15 , Animals that live in cold climates have animals found in warmer climates Propose reason why this is the case .
own before checking the book) (1 pt) 12. Name each the compounds shown below: (see if you can do it on Your CHOH Draw cerebroside (a sphingolipid with single sugar attached) that has stearic acid and galactose sugar: pt) 14. Cholesterol is found in all mammalian cell membranes: Draw the structure of...
5 answers
Suppose we have a two-pan scale (as shown below).We want to weigh four objects. The scale can find the difference of the weights of the objects in the left pan and the objects in the right pan_ The scale makes independent errors Ni, i 1,2,3,4 each time weighing is performed which has mean zero and variance 02 The unknown weights are W,X,Y and Z. We conduct four weighings.U1 Uz U3 U4W + X+Y+Z+ Ni W _ X+Y _ Z+ Nz W + X-Y-z+ N3 W _ X-Y+z+ N4From these (noisy measurements we form an estimate of W, X
Suppose we have a two-pan scale (as shown below). We want to weigh four objects. The scale can find the difference of the weights of the objects in the left pan and the objects in the right pan_ The scale makes independent errors Ni, i 1,2,3,4 each time weighing is performed which has mean zero and ...
3 answers
Lt & =PA (LShau #ukIlaullhnTuecaCalculutEcCETElLae #MmIulTemuleMam teenn rhua #iaLtarLKa sMLeunnt'
Lt & = PA (L Shau #uk Ilaull hnTueca Calculut EcCETEl Lae #Mm Iul Temule Mam teenn rhua #ia LtarL Ka sM Leunnt'...
5 answers
3_ Recall that the trace of an n X n matrix A is given by tr(A) = 011 + 622 + other words; the trace of A is the sum of its diagonal elements Prove that for any A, B € Mnxn(F), tr(AB) = tr(BA): Prove that if A, B € Maxn(F) are similar; then tr(A) = tr(B).ann . In
3_ Recall that the trace of an n X n matrix A is given by tr(A) = 011 + 622 + other words; the trace of A is the sum of its diagonal elements Prove that for any A, B € Mnxn(F), tr(AB) = tr(BA): Prove that if A, B € Maxn(F) are similar; then tr(A) = tr(B). ann . In...
5 answers
Point) Given the second order initial value problem y"4y' 128(t 1),[ y(o) 2,0y (0) Let Y (s) denote the Laplace transform of y: Then Y(s)Taking the inverse Laplace transform we obtainy(t)
point) Given the second order initial value problem y" 4y' 128(t 1),[ y(o) 2,0y (0) Let Y (s) denote the Laplace transform of y: Then Y(s) Taking the inverse Laplace transform we obtain y(t)...
5 answers
Use the half-angl formulas to determine the exact values of the sine, cosine and tangent of the angle 53/122 _Vtan2 _
Use the half-angl formulas to determine the exact values of the sine, cosine and tangent of the angle 53/12 2 _V tan 2 _...
5 answers
An inferior planet is one that isa. smaller than Earth.b. larger than Earth.c. closer to the Sun than Earth isd. farther from the Sun than Earth is.
An inferior planet is one that is a. smaller than Earth. b. larger than Earth. c. closer to the Sun than Earth is d. farther from the Sun than Earth is....
5 answers
Plot $ rac{x^{3}-3 x^{2}+4 x-12}{x-3} .$ What type of function is it? Perform this division using synthetic division, and confirm that the graph corresponds to the quotient.
Plot $\frac{x^{3}-3 x^{2}+4 x-12}{x-3} .$ What type of function is it? Perform this division using synthetic division, and confirm that the graph corresponds to the quotient....
5 answers
8 Find a potential function for F = 0+ cos y+Y,x-e sin y and use it to evaluate the work done by F when a particle is moved from (0, 0) to (0,7) :
8 Find a potential function for F = 0+ cos y+Y,x-e sin y and use it to evaluate the work done by F when a particle is moved from (0, 0) to (0,7) :...
5 answers
Find the volume of the solid that results when the region enclosed by the curves IS revolved about the given axis8 points) X= Vy+4,K=0,y=-1, J=3 rotated about the y-axis_Volume:
Find the volume of the solid that results when the region enclosed by the curves IS revolved about the given axis 8 points) X= Vy+4,K=0,y=-1, J=3 rotated about the y-axis_ Volume:...
5 answers
Use Definition '1.1,DEFINITION 7.1.1 Laplace Transform Lett be function defined for Then the integralI{flt)}e-stflt) dtis said to be the Laplace transform Of f, provided that the integrz to find *{flt)} (Write your answer as function of s,)f(t)cos(t), 0 $t<T 2TAflt)}(s > 0)+1Need Help?ReadullWalchutnnedmutor
Use Definition '1.1, DEFINITION 7.1.1 Laplace Transform Lett be function defined for Then the integral I{flt)} e-stflt) dt is said to be the Laplace transform Of f, provided that the integrz to find *{flt)} (Write your answer as function of s,) f(t) cos(t), 0 $t<T 2T Aflt)} (s > 0) +1 Nee...
4 answers
Jestion Completion Status:y = f() yy = hk(k) y332I22 11 1 2 3"3 -2 -11Find lim f(h(c)): T+0The limit doesn t exist
Jestion Completion Status: y = f() y y = hk(k) y 3 3 2 I 22 11 1 2 3 "3 -2 -11 Find lim f(h(c)): T+0 The limit doesn t exist...