MATH 220 Midterm: MATH 220 KSU Test 3f99

• School: Kansas State University
• Department: Mathematics
• Course: MATH 220
• Professor: All

Document Summary

Test iii: evaluate each of the following integrals: (8 pts) a. Z cos 5u sin3 5u du (8 pts) c. z x(x3 + 1)2dx (8 pts) d. z sec2( 3 x) 3 x2 dx (8 pts) e. z t3 1 + t4dt. What are the equations of the vertical asymptotes of f (x) ? (3 pts) b. Find the area bounded by y = 4x x2 and x + y = 0 . (you may leave integrals in your answer, e. g. , a = z 2. The curves are graphed for various values of k below. xy = k (1) In this problem, you will nd the equation of the curve which is perpendicular to xy = k which also passes through the point (5, 3) . Using implicit di erentiation we obtain y + x dy dx. = 0 or dy dx y x from equation (1).