1. Given z = e tan(x) + (2x + 3y)5 x = 7t² y = 5t +9 (a) Draw a tree diagram showing which variables depend on which. The variable z should be at the top. (b) Calculate the partial derivatives of z. dz dx (c) Calculate the derivatives of x(t) and y(t). dx dt dy dt || || дz ду

Q: The cost (in dollars) of manufacturing one item is given by C(x, y) = 70 + 4x + 9y where x is the…

A:

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: U(x,y)=(x+2)^2(y+3)^3 Find the partial derivative of x and y

A: U(x,y)= (x+2)2(y+3)3We have to find partial derivative of x and y

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

A:

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)? In (W – UV) = In…

A: We will find out the required values.

Q: f(x₁, x₂) = x₁ ln(x² + x² + 1), X = = (x₁, x₂) € R²,

A: