dz dz (a) Write down the formula for and when z f (x, y), x = x(s, t) and = y(s, t). ds dz (b) Use chain rule to find dz and where z = et y+2y´; and x(s,t) = s sin t and y(s,t) = t cos s- at

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Q: 1: For each of the functions below, decide whether it solves the equation: (y)² = 1 - y². A) y(t) =…

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A: Given the equation Fx,y,z=66xyz+31xsin44y. To find the y-component, we substitute x=0 and z=0.

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Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

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Q: 2. Given f(x,y)=xy°e*: (a) Find the first derivative f,(x,y). (b) Find the first derivative f,(x,y).…

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Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…