h(t) f(x, y), where f is differentiable, ax = g(t), and y Suppose z - 4, h' (6) 6, f2(8, If g(6) 8, g'(6) = 1, h(6) t 6 4) - 2, and fy(8, - 4) 2, find dz/dt when

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Q: 10

A: Given:

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Q: Answers for 10-12

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A: Given  f(x, y, z) = 4x2y - 2xyz + 6yz2

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 3x²y – 9xyz + 10yz²…

A: As we know that f=f(x,y,z)then fx(x,y,z)=∂f(x,y,z)∂x, fy(x,y,z)=∂f(x,y,z)∂y,  fz(x,y,z)=∂f(x,y,z)∂z

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A: Please see the below picture for detailed solution.

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A: Topic:- partial derivatives

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y – 4xyz + 6yz²…

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Q: THE IVP

A: Consider the provided differential equation with initial condition is,

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A: Topic:- partial derivatives

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A: