13 Questions Exam 3 - Calculus I | MATH 1210, Exams of Calculus

Download 13 Questions Exam 3 - Calculus I | MATH 1210 and more Exams Calculus in PDF only on Docsity! MATH 1210 Sample Exam #3 Name ______________________________ Directions: You may use your calculator. You must show your work to receive credit for each problem. Work the problems you know well first. Good luck! (6 pts ea.) 1. (a) State Newton’s Method for estimating a zero of a differentiable function f(x). (b) Use Newton’s Method to calculate 3x as an estimate for a solution to the equation 052 x with 11 x . 2. Verify. cexeexdxex xxxx  22 22 . 3. Write as a definite integral on [-1,3]:              n i i i n x x x 1 2 1 1cos lim = __________________ 4. Differentiate. (a)      x dv v v xg 3 21 tan1 )( (b)   5 6 3 cos)( x dttxh 5. Find the general indefinite integral. (a)         dxxx x x cotcsc 1 10 4 (b) dx xx e x         21 21 3 6. If ,2)( and,9)(,6)( 3 2 3 1 3 1     dxxgdxxfdxxf evaluate each of the following. (a)   2 1 )( dxxf (b)     3 1 )(3)(5 dxxgxf