Write parametric equations for the intersection of and Include bounds for your parameter.

Consider . At (2,-1) what direction does  have the maximum rate of change? What is this maximum rate of change?

Write parametric equations for the portion of the cylinder which lies between the plane and . Include the appropriate bounds for your parameters.

Can you use Stokes’ Theorem to compute this integral?

Let be given by for Let Set up but do not compute using the definition of the work integral. Compute this integral using the Fundamental Theorem for line integrals. 

Statement for problem 2: 242final_ss25 2.pdf

Can you use the Fundamental Theorem for Line Integrals to compute this integral?

Consider the function . Identify all critical points of Determine if each is a local max, local min, or neither.

Deep ocean currents for due to 

A patient has lost her sense of taste to anterior 2/3 of her tongue. The possible reason for this may be damage to the __.