MATH 130 Midterm: MATH130 BOYLE-M SPRING2015 0101 MID EXAM 3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 130
• Professor: All

Document Summary

Find the equation of the tangent line to the curve 4e2x y2 = 0 at the point (0, 2): (15 points) Riemann sum. (c) (3 pts) is this riemann sum greater or smaller than r 2 x=0 f (x) dx : (14 points) Let f be the function on [0, 4] de ned by f (x) = (2x + 1)1/4 . Region under the curve , i. e. the set of points (x, y) such that 0 x 4 and 0 y f (x). Let s be the solid of revolution obtained by rotating r about the x-axis. **** there are more problems on the other side: (18 points) (a) (8 pts) compute the average value of the function f (x) = sec2(x) over the interval [0, /4]. (b) (10 pts) evaluate the de nite integral. Sin x cos x dx: (14 points)