Find the rate of change of w with respect to f at i = 1 by using the chain rule. You can check your work by expressing was a function of t and differentiating. w = x'y*z°; x = r*, y = t + 2, z = 3r dw| dt \=1

Q: Show that the 2-D Heat Equation dx² ди becomes ди if x = es cos w and y = es sin w. You ma dt dy?…

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Q: The integrating factor of the differential of the form +P,x Q, is given by ef dy. O True O False

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Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: find a general sulution to the differential eguatiun using variation of A parametert b)yィyニ tantee…

A: Method of Variation of Parameters: This method is quite general and applies to equations of the form…

Q: Use the total differential dz to approximate the change in z= 6-x² – y² as (x, y)moves from the…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 5 y%3D 2x - 5 dy =

A: Given:y=x+52x-5Differentiation formula:ddxxn=n.xn-1ddxuv=vdudx-udvdxv2

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y%3D 2x . -5 dy

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Q: nd the general solution of differential equation y" - y' olve for the Laplace transform of f(t) =…

A: Given that, y''-y'-6y=0 and f(t)=t5

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4/x + dy

A: find dy

Q: Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) =…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x sin y x = e', y = n - t t = 0…

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Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t=0

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Q: (1) Use the Chain Rule to find dz/dt. (a) z = r² + y² + xy, r= sint, y = e'. z = x2 +y?, x = cost+…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

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Q: Use the differential dz to approximate the change in z = √4 − x2 − y2 as (x, y) moves from the point…

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Q: Find aw/at using the appropriate Chain Rule. w = x sin y x = e', y = - t dw dt

A: Derivative

Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: z = sin x cos y, = VE, y = 1/t x =

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Q: use the chain rule to find dz/dt, where z=x sin y, x=t^5, and y=5t^2 please show steps

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y =

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Q: Use the Chain Rule to find dz/dt. z = sin(x) cos(y), x = /t, y = 5/t dz dt

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Q: Find the rate of change of w with respect to / at t = 1 by using the chain rule. You can check your…

A: Given w=x7y3z3     ;    x=t6    , y=t+2    ,   z=3t4

Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

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Q: Use the Chain Rule to find dz/dt. dz dt || z = √√√ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)²…

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Q: dz If z = e2x+ 3y and x = In t, y = t2, calculate from the total dt derivative formula and show that…

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Q: An integrating factor which convert the D. E. y p(y)dx – (Qly) – p)x)dy = 0, into exact is given by

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Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

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Q: Use the Chain Rule to find dz/dt or dw/dt. z=sin x cos y, x= √t, y=1/t

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 1. xy + z2

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Q: Use the Chain Rule to find dw/dt. w = In Vx2 + y2 + z2 x = 2 sin(t), y = 5 cos(t), z = 4 tan(t) dw…

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Q: Find the total differential z = e−x tan y

A: we have to find the total differential of z = e−x tan y           dz=∂f∂xdx+∂f∂ydy        (1) where…

Q: Find the change in y, Ay when x 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1

A: Let y=5x^3

Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = et, y = π - t dw dt || Value t…

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Q: Use the Chain Rule to find dz/dt. z = x2 + y?, x = cost + sin t, y = cos t – sin t. -

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Q: find the general selution of the differential equetion by the fimear methodi sxy'-2y=x

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Q: a)Let z = x?y – y² where x = t2 and y = 2t . Find dz/dt at t=1 using chain rule.

A: Given query is to find derivative is nge chain rule.

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Obtain a difference equation which approximates the differential equation below using the Euler…

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Q: se the Chain Rule to find dw/dt. w = INVX2 + y2 + z² x = 9 sin(t

A: Here we have to use the chain rule to find dwdt=? w=lnx2+y2+z2, x=9sin(t), y=3cos(t), z=5tan(t)

Q: Use the Chain Rule to find dz/dt. z = x2 + y2 + xy,    x = sin(t),    y = 3et

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Q: Find the total differential. w = e3Y cos(5x) + z5 dw

A: The total differential of a function w= f(x,y,z) with continuous first partial derivatives in a…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y 3 x dy =

A: Given function can be written as

Q: I. Using Integrating Factor dy 3 a) -y = x3 for y(1) = 4

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Q: Use the Chain Rule to find dw/dt. w = In( V x2 + y² + z? ), x = 2 sin(t), y = 7 cos(t), z = 8 tan(t)

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Q: Use the Chain Rule to find dw/dt. w = In V x2 + y2 + z2 x = 9 sin(t), y = 3 cos(t), z = 5 tan(t) dw…

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Q: Consider the following function: z = α x+ β y^2, where alpha and beta are constant parameters. Write…

A: To find the total differential dz and partial derivatives.

Q: Q2) Use the chain Rule to find dw\dt of y w = =+2,x = cos²(t), y = sin² (t), z =, at t = 3

A: In this question,w is function of x,y,z and x,y,z are the function of t so first we find out…

Q: Find dz/dt, for z= xy by using the Chain Rule.

A: Given function is  z=xy Let f(x,y)=xy Then z=f(x,y) Differentiate f partially with respect to x and…