MAT-2130 Midterm: MATH 2130 App State summer2015 Test1 answer key

• School: App State
• Department: Mathematics
• Course: MAT-2130
• Professor: All

Document Summary

Name: x = cos( ) sin( ) y = sin( ) sin( ) z = 2 (1 + cos(2 ): (10 points) use a double riemann sum to approximate zz x sin(y2) da where r = [1, 9] [ 1, 2]. [warning: one of the integrals below will have to be split into 2 pieces. ] (b) set up the integral rrr x da using the order of integration dy dx . Don"t evaluate the integral. (c) set up the integral rrr x da using the order of integration dx dy . Don"t evaluate the integral: (10 points) compute z 1. Hint: you cannot integrate r e x2 dx in terms of elementary functions: (12 points) let e be the region bounded by y = z2, x + y = 5, and x = 2. A graph of this region is ever so kindly provided to the right.