Question: Problem 1 and problem 3 please! Thank you so much calculus problem Problem 1. Compute the length of a parabola y = ax from the
Problem 1 and problem 3 please! Thank you so much
calculus problem

Problem 1. Compute the length of a parabola y = ax from the point intersecting the line a = -c to the point intersecting the line x = c. (I did this example in class but did not finish the integral.) Problem 2. Do Problems 10, 12, 14 in section 8.1 of page 549 of the textbook. Problem 3. Consider the curve {x 2 1,y = 1/x}. Compute the length of the part of this curve lying to the left of the line x = a for any a > 1. Show that the length of the whole curve is thus infinite. Compute the area of the surface obtained by rotating this curve about about the r axis by computing the corresponding improper integral; it should be infinite. What is the area of the surface lying to the left of the plane x = a for a > 1? Finally, compute the volume of the surface of revolution obtained by rotating the area below the above curve (i.e the region {x 2 1,0
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