Consider the following. w = xy2 + x?z + yz², x = t2, y= 2t, z 2 (a) Find dw/dt using the appropriate Chain Rule. dw dt (b) Find dw/dt by converting w to a function of t before differentiating. dw dt

Q: Use an appropriate form of the chain rule to find dz/dt 1. z = 3x?y; x = t and y = t2 2. z = 3 cos x…

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Q: Let z = x3 y2 ,x=t3, y=t+3 Use the chain rule to find dz at t=3 dt

A: By chain rule of partial derivatives,     dzdt=∂z∂xdxdt+∂z∂ydydt Here we have,       z=x3y2,   x=t3…

Q: Find dw/dt using the appropriate Chain Rule. Evaluate dw/dt at the given value of t.

A: The given equation is . Also .

Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = e", y = 1 - t Value t = 0 X =…

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Q: dw Use an appropriate form of the chain rule to find dt w = In(82? – 4y + 5z³); = t, y = tỉ, z = t-2…

A: w=ln8x2-4y+5z3x=t12y=t23z=t-2The chain rule says dwdt=dwdxdxdt+dwdydydt+dwdzdzdt

Q: Consider the following. w = cos(x - y), x = t2, y 52 (a) Find dw/dt by using the appropriate Chain…

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 6 cos xy – sin xz; x = t' y = t, z =…

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Q: dw Use an appropriate form of the chain rule to find dt = In(10x² – 2y + l2³); x = tỉ, y = tỉ, z =t?…

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Q: dw Use an appropriate form of the chain rule to find dt w = In(10x² – 4y + 5z³); c = t', y = tỉ, z =…

A: From the given function: w=ln10x2-4y+5z3 ; x=t12 ; y=t23 ; z=t-2 As we know that: The Power law:…

Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 9 cos xy – sin xz; x = y = t, z = t3…

A: We have to find

Q: dw Use an appropriate form of the chain rule to find dt w = 4 cos xy – sin xz; 1 x = ; y = t, z = t8…

A: A detailed solution is given below

Q: Consider the following. w = cos(x − y),    x = t2,    y = 21 (a) Find dw/dt by using the…

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: use an appropriate form of the chain rule to find dz/dt. z= 8cosx-sinxy; x=1/t, y=3t

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Q: (a) express dw/ dt as a function of t, both by usingthe Chain Rule and by expressing w in terms of t…

A: A) The function x is differentiated as, x=cost⇒dxdt=-sint The function y is differentiated as,…

Q: Consider the following. w = xy2 + x?z + yz?, x = t2, y = 6t, z = 6 (a) Find dw/dt using the…

A: Here, the given functions are: w=xy2+x2z+yz2, x=t2,y=6t,z=6

Q: d use the Chain Rule to calculate f(r(t)). dt f(x, y) = x² – 3xy, r(t)= (cos t, sin t), 1 = }

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Q: Use the Chain Rule to find dw/dt. In(Vx² + y² + z² ), x = 3 sin(t), y = 5 cos(t), z = 6 tan(t) W =…

A: We have to find the derivative  using chain rule.

Q: For the functions w = 8x + 3y, x= cos t, and y = sin t, express dw as a function of t, both by using…

A: The given function is w=8x2+3y2, x=cost and y=sint. We have to express dwdt as a function of t.…

Q: Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding…

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Q: 3. Let z = x?y + 3xy+ where x = sin 2f and y cos t. Use the chain rule to dz find when t = 0. dt

A: As indicated in the question, we will make use of chain rule of differentiation. Recall that the…

Q: dw Use an appropriate form of the chain rule to find dt In(14.x² – 4y + 523); x = ti, y= tổ, z = t-2…

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Q: Use the Chain Rule to find dw/dt. w = In Vx2 + y2 + z2 ), x = 4 sin(t), y = 6 cos(t), z = 5 tan(t)…

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Q: = xy³ + x2y, x = 31- 8, y = 4t2 - 4. dw when t 1. dt Use the Chain Rule to calculate dw dt

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Q: Let z(x, y) 2x2 – 3y? where a 2s – 4t & y = 9s + 8t. he at dy dx az Calculate ds dz by first finding…

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Q: dz Use an appropriate form of the chain rule to find dt z = 5x*y°; x = t1º, y = t" Enter the answer…

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

Q: Consider the functions z = - 5 e* In y, x = In (u cos v), and y = u sin v. dz and dv (a) Express as…

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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: Find dw/dt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before…

A: Find dw/dt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before…

Q: Consider the following. w = cos(x - y), x = t2, y = 1 (a) Find dw/dt by using the appropriate Chain…

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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: Consider the following. w = cos(x - y), x - t2, y = 59 (a) Find dw/dt by using the appropriate Chain…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw…

A: Given query is to find the indicated derivative.

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 8 cos xy – sin xz; x = y = t, z = t³ t…

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Q: use an appropriate form of the chain rule to find dw/dt. w=6cosxy-sinxz; x=1/t, y=t, z=t^8. enter…

A: Given: w=6cosxy-sinxz x=1t, y=t, z=t8

Q: Consider the following. w - xy + xz + yz?, x= t, y- 7t, z-7 (a) Find dw/dt using the appropriate…

A: We have to use chain rule to solve the question.

Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: Find dw/dt using the appropriate Chain Rule. Function Value w = x + y 2. 2 t = 2 x = 3t, y = 4t dw…

A: Function w =x2+y2 and x=3t , y=4t To find dwdt and evaluate at t=2

Q: Consider the following. w = xy2 + x2z + yz², x = t², y = 5t, z = 5 (a) Find dw/dt using the…

A: Details calculation is given below

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Suppose w = 2x2 + 8y², Compute dw/dt in two different ways: x = 7 cos(t) + 5 sin(t) , and y = 7…

A: The chain rule is mentioned below: dwdt=∂w∂x·dxdt+∂w∂y·dydt

Q: (a) express dw/ dt as a function of 1, both by using the Chain Rule and by expressing w in terms of…

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Q: Assume x and y are functions of t. Evaluate DY/DT for 4xy-4x + 6y^3 = -258, with the conditions…

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Q: Consider the following. w = cos(x – y), x = t2, y = 9 (a) Find dw/dt by using the appropriate Chain…

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Q: Use the Chain Rule to find dz / dt or dw/ dt.(odd) z = xy3 - x2y, x = t2 + 1, y = t2 -1

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Q: Q2/ Express dw/dt as a function of t, both by using the Chain Rule and by expressing w in terms of t…

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