MATH 221 Midterm: MATH 221 KSU Test 1s03

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

Work as many of the following problems as you can in one hour. No calculators are permitted for this exam. page. Find the derivative of the function f (x) = z x. 1 point x = e2 . ln(t)dt at the (10) 2. Find g ( ) , where g(x) is the inverse function for f (x) = x3 . (10) 3. Use logarithmic di erentiation to nd dx r(x2 1)3 x2 + 1 ! An archeologist has found an ancient sumerian basket, having. 60% as much 14c as a comparable basket woven today. It is known that the half-life of 14c is 5730 years. How old is the basket? (express your answer in terms of ln(0. 5) and ln(0. 6) . ) (40) 5. Evaluate the integrals given below. (a) z dx. 8x x2 (c) z sinh tecosh t dt. Page 4 (d) z x sec2 x dx (e) z 1.