Consider the surface z=f(x,y) = 3x² + 5y² +1 and the curve C

Last updated: 7/10/2022

Consider the surface z=f(x,y) = 3x² + 5y² +1 and the curve C in the xy-plane given parametrically as x= cost and y=sint where Osts2. a. Find z'(t). b. Imagine that you are walking on the surface directly above the curve C in the direction of positive orientation. Find the values of t for which you are walking uphill (that is, z is increasing). a. Find the intermediate derivatives. dz/ax (Type an expression using x and y as the variables.)