Consider the following w-xyz, x s 4t. y-s-4t, z- st (a) Find dw/ds and dw/dt by using the appropriate Chain Rule. as (b) Find dw/ds and da/dr by converting w to a function of s and t before differentiating dhe dt

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A: Answer

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Q: (a) 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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Q: dw Use the Chain Rule to find dt w = 7x°y°z,x = 2t, y = cos(4t), z = tsint %3D 7xy°(12yz -…

A: see 2nd and 3rd step.aa

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A: t

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A: (A) ∂z∂s=∂z∂x.∂x∂s. Take derivative of z=x2siny w.r.t x : ∂z∂x=2xsiny=4s2+6t2sin6st. And, ∂x∂s=4s.…

Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

A: The solution of the problem is given in the next steps.

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A: Given: z=x2siny x=2s2+3t2 y=4st To find: Using chain rule, ∂z∂s and ∂z∂t ∂z∂s1,-2 and ∂z∂t1,-2

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Q: 2n dw at t= dt dw For the functions w = 3x - y, x cos t, and y = sin t, express as a function of t,…

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A: Consider:z=x2sin y, x=3s2+t2, y=2st. A1) Find ∂z∂s. Apply chain rule ∂z∂s=∂z∂x·∂x∂s+ ∂z∂y·∂y∂s Find…

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Q: az and as az Use the chain rule to find at z = In(4x + 3y), x = s sin(t), y = t cos(s) az as az at

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Q: e) Suppose that W= √√x² + y² + z², x= cos 0, y = sin 0, z = tan 0. dw T Use the chain rule to find…

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Q: ди and ди ди Q3. If u = e"" sin p, p= sin x, q = z' In y, r=1/z, use chain rule to find

A: Find your answer below

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Q: Evaluate r(g(t)) using the Chain Rule. dt r(t) = (5 sin(4t), 2 cos(4t)), g(t) = t³

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A: Explained below

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Q: dw For the given functions, (a) express dw dt as a function of t, both by using the chain rule and…

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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.

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A: Details calculation is given below

Q: _Suppose w =+, x = cos² t, y = sin? t, z = ; dw Evaluate at t = 3, by using the Chain Rule dt

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Q: Consider the following. w = In(x2 + y), x = 2t, y = 8 - t dw by using the appropriate Chain Rule. dt…

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

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: Assume x and y are functions of t. Evaluate dy / dt for 3xy - 6x + 4y 3 = -80, with the

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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…

A: