MATH 130 Final: MATH130_ALL-SECTIONS_FALL2014_FINAL_EXAM_1

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

Document Summary

0 x2dx. (don"t simplify just write the formula imate the de nite integral r 2 with the correct numbers substituted. ) (10 pts) Suppose a cylindrical cell (b) has volume 50 m3, and its surface area is minimum among all cylindrical cells with this volume. What is the radius of the base of this cylinder: (14 points) (a) (5 pts) use the di erential approximation to estimate 100. 10 . (b) compute the following limits. , or dne ( does not exist ). (3 pts each) (i) lim x (iii) lim x (ii) lim x 1 x3 + 20x2 + 18. 3x 4x3 xe x x3 + x2 x2 + 3x + 2: (10 points) Find the equation of the tangent line to the curve. 2 cos y x + 1 at the point (x, y) = (0, /4) : (18 points) evaluate the following de nite integrals. (6 pts. each) (a) z 1.