MATH 121 Final: MATH 121 Amherst S12M121DLBFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 121
• Professor: All

Document Summary

Good luck: calculate the following de nite and inde nite integrals. (a) z 0. 1(cid:0)2r3 + r + 3(cid:1) dr (b) z e1/x x2 dx (c) z sin( ) cos( ) sin( ) + cos( ) d (d) z /2. 0 sin(t)(cid:2)cos(t) 1(cid:3)7 dt: suppose that some function f (x) has the following properties. 6: nira wants to make a rectangular box with a square base, volume 1 cubic foot, and no lid. (so the box only has 5 faces. ) In order to conserve resources, she wants it to have the smallest possible surface area. What should the box"s dimensions be: calculate the riemann sum approximating z 3. 5 length, and using midpoints as sample points. (your answer should be a number. ) 2x dx, using 2 subintervals of equal: give the exact length of the indicated side in the triangle shown. 3 s d ds: it"s snowing outside! (hopefully, not really. )