dw Use the chain rule to find dt dw dt II W = In x² + y² + z² x = 7 sin(t), y = 4 cos(t), z = 3 tan(t)

Q: X = cos 2t, y = cos t, 0 <t< n

A: given x=cos2t and y=cost interval 0&lt;t&lt;π  dx/dt =d/dt(cos2t) dx/dt=-2sin2t And dy/dt=d/dt(cost)…

Q: dy Use implicit differentiation to find dx 46 x° + sin y=x y ..... x* (4y8-5x) cos (y)-6yx dy dx

A: Your written answer is correct!   Given expression is x5 + sin(y) = x4y6

Q: Find f. f ''(t) = 3et + 6 sin t, f(0) = 0, f(?) = 0 f(t)=

A: Solution

Q: dy Find dx 2x %3D sin (x + 9y)

A: Given that e2x=sin (x+9y) Chain rule: If a function y=f(x)=g(u) and if u=h(x), then the chain rule…

Q: 1. Prove the following identities: (a) secx – cos x = tan x sin x (b) sin(x + y) sin(x – y) = sin? x…

A: To prove:- sec(x) - cos(x) =tan(x) sin(x)  Sin(x+y) sin(x-y)=sin2(x) - sin2(y)

Q: 1 -dx cos.x-1 2) Integrate

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Q: Let f(x, y, z) = x“y + z* and x = s³, y = st°, and z = s°t. (a) Calculate the primary derivatives ,…

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Q: (sin(æ) + 2 cos(y)) dy ^ dz + (zổ – y cos(x)) dz A dæ + 11xyz dx ^ dy. Find dw. dw dx ^ dy ^ dz

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Q: 3y?r + sin(2y – 4) = V(2y)

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Q: dy cosx+ ysin x =1 dx

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Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

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