Question: 33:2(HSin0) 1) Calculator Inactive. Given the parametric equations: 3; : 2 (1 cos 6) - . d_.. a a a} Determine. 49' d9 , and

33:2(HSin0) 1) Calculator Inactive. Given the parametric equations: 3; : 2

33:2(HSin0) 1) Calculator Inactive. Given the parametric equations: 3; : 2 (1 cos 6) - . d_.. a a a} Determine. 49' d9 , and dm' b) Using the slope found above, determine the equation of the tangent line at 9 = 7r. c) Set up, but do not evaluate the integral which represents the length of the curve over the interval [0, 211-]. Express the integrand as a function of 0. 2) Calculator Active. Determine the area inside the curve 1" : 3 cos 0 and outside the curve 7' = 1 + cos 0. 3) CalculatorActive. Let R be the region bounded by the graph ofy = 236'\" cos(m), the origin, and the line a: = 2. Make sure you show the set up of all integrals. (Hint: This graph will cross the x-axis and you will have to work with 2 parts.) a} Sketch the graph of R. Show the scale. b) Find the area of region R. c) Find the volume when the region R is revolved about the x-axis. d) Determine the volume if R is the base, and every cross section perpendicular to the x-axis is an isosceles right triangle whose hypotenuse is on the base. e) Determine the length of the curve, 3; = we\": cos(m), over the interval [0, 2]

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