MATH 220 Midterm: MATH 220 KSU Test 2f08

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

Document Summary

You may use a calculator, but no books or notes. The point value of each problem is given in the left-hand margin. (8 pts. ) Find an equation of the tangent line to the curve 4xy3 5x2y = 16 at the point (2, 1). Find the derivative. (a) z = sin(5y) y (b) x = t log3(t4 + 1) (7 pts. ) An oil spill is spreading in a circular pattern, and the area of the spill is increasing at a rate of 600 square meters per hour. Find the rate at which the radius of the spill is increasing at the instant when the radius is 50 meters. (12 pts. ) [hint: take logarithms of both sides of the equation. ] y = xsec(2x) (9 pts. ) Find the rst derivative y and the second derivative y for the exponential function y = 5sin(x).