MATH 260 Final: MATH 260 Amherst S16M260Final

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 260
• Professor: All

Document Summary

Show all work: [40 points] di erentiate the following functions of x, ln(x) sin(x) b. + e: xsec x (your answer should be as simple as possible. , [40 points] evaluate the following integrals: dx. 3x2 + 1 x3 + x 1: z tan2(x) sec2(x) dx, z 1, z 2, z (sin x + cos x)2 dx, z 1 eln(x+5)(x + 1) dx dx x. 0: [10 points] the region under the curve y = 1 + ex is rotated about the x-axis for x between 0 and ln 2. 1: [10 points] find a function f (x) that satis es f (x) = sin x, f ( . 2 ) = 2: [10 points] simplify as much as possible without using a calculator, log3(log3(39), 2x+log2(3x, [15 points] consider the angle 5 . 6 , measured in radians: convert 5 . 6 radians to degrees: compute sin(cid:0) 5 .