du Use the Chain Rule to find dp x +y y +z x = p+ 6r + 5t,y p- 6r + St, z =p + 6r - 5t O a. du 5t %3! O b. du 5t %3D Oc. du 30r O d. du 6t %3D Oe. du 30r

Q: Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = er cos(θ),    r = st,       θ =    s8 + t8

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Q: which followind ode has the solution; y= (Ax + B)e" 1→ y'-6y'+9y = 0 II » y" -6y'+ 5y 0 III » y' -…

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Q: dy dy a. Determine using the Chain Rule for y = 5u and u = Vx. Choose the correct option below to…

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Q: dz and du dz Use an appropriate form of the chain rule to find dv = e*y; Vuv, y = x = Enter your…

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Q: dw at (u, v) = (5, 4) for the function w(x, y, z) = xz + yz - z 2; x = uv, y = uv, z = u. HINT: Use…

A: w(x,y,z) = xz + yz - z2∂w∂x=z,x=uv∂x∂u=v∂w∂y=zy=uv∂y∂u=v∂w∂z=x+y-2zz=u∂z∂u=1

Q: Use the chain rule and compute if z = x2 + xy³, x = uv? + w°y = u+ ve" O A. = (2x + y*)(2uv) +…

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Q: The function y,(t)=2t+e is a particular solution to y"-3y'+2y=4t-6 Select one: False O True O False

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Q: Find the orthogonal trajectories of y = ce' = ceba Select the correct response: O None O 6x + 2y = c…

A: I have solved by using the method and find that second option is correct.Final solution is in the…

Q: w = (x^2 + y^2)xy, x = rcosθ, y = rsinθ  a) Use chain rule to find∂w/∂r b) Find ∂w/∂rat the point…

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Q: Find the particular solution of the given ODE. * (y - Va2 + y?) dr – rdy = 0 when a = V3, y = 1 |

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Q: dz Let z = 5xy- 5x y where x = 3t, y = 9(1 - ). Find by using the chain rule. Express your answer in…

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Q: df using the chain rule and direct substitution. dt Find x = e', y = 2et y f(x, y) = %3D df chain…

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Q: Find dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

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Q: Use The Runge-Kutta Method SoNe the: dy X(I+x), y(0)=3,h20.2

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Q: Find d using the appropriate Chain Rule for w =x+v? where x 6t and y= 4t. 2 156t 44t 80 t 104 t 52t

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Q: dw when dt Use the Chain Rule to find W = xey/z and t2, y = 3 – t, z = 3+4t. x =

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Q: Find y dy S using the substitution u +5=√√y+2. √y+2 A (√9+2-5) (5√3+2-1+24) +0 B (√y+2-5)…

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Q: Find aw/ds and aw/ot using the appropriate Chain Rule. Function Values w = y - 6x3y x = e, y = e s =…

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Q: dz dz and Use an appropriate form of the chain rule to find dv du 1 e4.r*y: x = vuv, Z = Enter your…

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Q: Use the Chain Rule to find dw/dt. w = xeylz, x = t5, y = 8 t, z = 6 + 9t

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Q: Q2. Solve one of the following equations; a- Given u(x, y) = x? + 2y. Where, x(r,t) = rsint and…

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Q: ppropriate form of the chain rule to find the derivativ R = e6s-t, s = 5ø, t= o/2 %3D

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Q: dz and du dz Use an appropriate form of the chain rule to find dv Vuv, z = Y = - Enter your answers…

A: Here I am attaching image so that you understand each and every step.

Q: b) (i) Show that dz is a constant independent of z, and R. { Hint : z= Z, + Re"} 1 +- 2z-4 2 -z 3…

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Q: Use an appropriate form of the chain rule to find the d R= e9s-ť°. s = 5¢, t = 4'/2 %3D dR %3D dø

A: Given that: R=e9s-t2s=5∅t=∅1/2

Q: dz and du dz Use an appropriate form of the chain rule to find dv z = e2a*y; x = 1 Vuv, y Enter your…

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Q: ブル!- dt + -inst dt. -inst dt + j. p. dt - janet -janst dt please explain_ alo step - 1st e -inst dt

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Q: use the chain rule to find zこx2xy-2, X=e' 2$+t ト

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Q: (e) The method ди = dx h order 2. [u(x+h),y(t)—u(x,y(t))] is of

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Q: af əz af əx Əx əs af əy ду дs af af using the Chain Rule: ds Compute Express the answer in terms of…

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Q: Find (ay), and (3x), ду ду X Əw = dv X (Simplify your answer.) at the point (w, x, y, z)=(1,-1,1,…

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Q: Let z = r'y-y³, where r 3s- 4t and y = 2s+5t. Use the Chain Rule to find that your final answer is…

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Q: dz Use the Chain Rule to find when = a? + xy + y², z = nd = 2s – t, y = st. || |

A: SOLUTION-

Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: Find w using the appropriate Chain Rule for w =x+y+z? where x 10tsin s, y 10tcos s, and 2 8s Z 9st2.…

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Q: &w Given w = xysin( z?), x = s- t, y = s?, z = t2. Use the Chain Rule to find St 2.

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Q: Use the Chain Rule to find dw/dt. w = xevlz, x = t, y=7 - t, z = 5 + 7t dw dt

A: To find the derivative using chain rule

Q: Let 2 = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find when s = 2 and t = -1. Əz…

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Q: Use a chain rule to frd the values of rl, 0-1 20 l2=2, 0=% ,-roso, 9=rsn@.

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the order of the given DE. Also, decide if the DE is linear or nonlinear. (a) "+1=ysin(x) (b)…

A: To Find: Order and linearity of Differential equation Concept Used: Order of a DE is defined as the…

Q: Find ôw/ðs and ôw/dt by using the appropriate Chain Rule W = xyz, X = s+ 3t, y = s - 3t, z= st? dw 3…

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Q: W = xyz, X s + 3t, y = s - 3t, z = st? (a) Find dw/as and @w/@t by using the appropriate Chain Rule.…

A: As per the guidelines we can solve 1 problem only.

Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: Use the Chain Rule to find dw/dt. (Enter your answer only in terms of t.) w = xey /z, x = t4, y = 8…

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Q: dy If y = 4u? – 3u + 2 ; u = e* + 2e2x, find by using chain rule. - dx

A: Image is attached with detailed solution.

Q: dy using the chain rule in formula (1). State your answer Compute in terms of x only. 37. y = u2, u…

A: As you have asked for the solutions of  question 37 and 39 only, so I am solving those only. Thank…

Q: dz Given z = 3 – xy + 4y?, x = 3u + 2v, y = 3u – 2v. Using the chain rule find 5.

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: dz and du dz Use an appropriate form of the chain rule to find dv 1 z = e3x*y; x = Vuv, y=- Enter…

A: This question is based on Partial diffrentiation.