O) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = xyi + j + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y2 - x and the cylinder x2 + y? = 1 oriented counterclockwise as viewed from abo (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface. 1.0 1.0 05 0.5 -0.5 -0.5 -10 -10 -1.0 10 10 0.5 05 -0.5t -10 -1.0 -1.0 (c) Find parametric equations for C and use them to graph C. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t where osts 2m.)

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A: Explanation of the answer is as follows

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A:

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A:

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A: See this solution in below.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.