(a) Use Stokes' theorem to evaluate as viewed from above. F. dr = ²/F₁ F. dr, where F(x, y, z) = x²yi + i+\/x³j+ + xyk and C is the curve of intersection of the hyperbolic paraboloid z = y² - x² and the cylinder x² + y² = 1, oriented counterclockwi (b) Use a computer to graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface that you used in part (a). Find parametric equations for C and use them to graph C. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (x(t), y(t), z(t)) = for 0 st s 2 Update Graph Student Response Response Description

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