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Cal 2Exam 4 Form B Name: Show all your work for ll] credit: Q1. (8 points) Find the points on the curve where the tangent

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Cal 2Exam 4 Form B Name: Show all your work for ll] credit: Q1. (8 points) Find the points on the curve where the tangent is horizontal or vertical. x=t33t. y=t33t2 Q2. ( 8 points) The given curve is rotated about the x-axis. Setup. but do not evaluate. an integral for the area ofthe resulting surface by integrating (a) with respect to x and (b) with respect to y. y=tan'1x, OSxSl Q3. (8 points) Find the exact length of the curve. 14 X = 8 1 sys2 Q4. ( 8 points) Evaluate the indefinite integral as a power series. What is the radius of convergence? t 1+ +3 at

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