Question

A.) Find the partial derivative indicated. Assume the variables are restricted to a domain on which the function is defined. z=sin(7x^3 y−3xy^4)

B.)Compute the partial derivative: f(x,y)=sin(x^3−4y)

fy(0,π)=

C.) The equation r=5sinθ represents a circle. Find the cartesian coordinates of the center:

x = ,y = , r =

D.) Convert (xy)^3=8 to an equation in polar coordinates.

E.)Find the slope of the tangent line to the polar curve r=sin(3θ) at θ=π/6

F.)Find the equation (in terms of x and y) of the tangent line to the curve r=2sin5θ at θ=π/4

Answer 1