Calculus II

Name 1220-90 Final Exam Spring 2014 Instructions. Show all work and include appropriate explanations when necessary. Answers unaccompa nied by work may not receive credit. Please try to do all work in the space provided and circle your final answers. The last page contains some useful formulas. 1. (l5pts) Compute the following derivatives: (a) (5pts) D 1

MATHEMATICS | 1220-90 | Calculus II | exam |Name 1220-90 Final Exam Spring 2014 Instructions. Show all work and include appropriate explanations when necessary. Answers unaccompa nied by work may not receive credit. Please try to do all work in the space provided and circle your final answers. The last page contains some useful formulas. 1. (l5pts) Compute the following derivatives: (a) (5pts) D 1

Calculus II Practice Final There are 12 questions; each question is worth 10 points. Do any ten of them. There is a final problem worth 10 points of extra credit. 1. Differentiate: a) fx ln sin e 2 x . b) gx x tan 1 x 2 . c) hx e ln x . 2. Find the integrals: a) u 2 u 1 5 du b) x ln x dx c) e x 1 e x dx 3) 3 x 1 xx 2 1 dx 4) x 2 1 x 1 x 2 x 3 dx 5) e x sin xdx 6. The population of Dim Corners, Alabama has

MATHEMATICS | 1220-90 | Calculus II | exam |Calculus II Practice Final There are 12 questions; each question is worth 10 points. Do any ten of them. There is a final problem worth 10 points of extra credit. 1. Differentiate: a) fx ln sin e 2 x . b) gx x tan 1 x 2 . c) hx e ln x . 2. Find the integrals: a) u 2 u 1 5 du b) x ln x dx c) e x 1 e x dx 3) 3 x 1 xx 2 1 dx 4) x 2 1 x 1 x 2 x 3 dx 5) e x sin xdx 6. The population of Dim Corners, Alabama has

Calculus II 1220-90 Exam 2 Summer 2014 Name Instructions. Show all work and include appropriate explanations when necessary. A correct answer without accompanying work may not receive full credit. Please try to do all all work in the space provided and circle your ﬁnal answer. 1. (20pts) Evaluate the following limits using L’Hˆ opital’s rule or any other m

MATHEMATICS | 1220-90 | Calculus II | exam |Calculus II 1220-90 Exam 2 Summer 2014 Name Instructions. Show all work and include appropriate explanations when necessary. A correct answer without accompanying work may not receive full credit. Please try to do all all work in the space provided and circle your ﬁnal answer. 1. (20pts) Evaluate the following limits using L’Hˆ opital’s rule or any other m

Calculus II Exam 1, Fall 2002, Answers 1. Differentiate: a) fx e x ln x Answer . Use the product rule: f x e x ln x e x x b) gx e 2 x 2 3 x 1 Answer . Use the chain rule: gx e 2 x 2 3 x 1 4 x 3 2. Integrate a) e ln x 1 dx Answer . By the rules of exponentials, e ln x 1 e ln x e xe . Thus ln 3 e x dx exdx e x 2 2 C b) 3 0 e x e 2 x 1 dx Answer .= 3 0 e 3 x e x dx e 3 x 3 e x 3 0 e 9 3 e 4 3 3. I want to invest $5000 in a growth fund s

MATHEMATICS | 1220-90 | Calculus II | exam |Calculus II Exam 1, Fall 2002, Answers 1. Differentiate: a) fx e x ln x Answer . Use the product rule: f x e x ln x e x x b) gx e 2 x 2 3 x 1 Answer . Use the chain rule: gx e 2 x 2 3 x 1 4 x 3 2. Integrate a) e ln x 1 dx Answer . By the rules of exponentials, e ln x 1 e ln x e xe . Thus ln 3 e x dx exdx e x 2 2 C b) 3 0 e x e 2 x 1 dx Answer .= 3 0 e 3 x e x dx e 3 x 3 e x 3 0 e 9 3 e 4 3 3. I want to invest $5000 in a growth fund s

Calculus II Practice Exam 2 Find the indefinite integrals of the following functions. 1. arccos x 1 x 2 dx 2. ln x 1 2 x dx 3. cos 3 x sin 2 xdx 4. dx x 2 x 1 5. xx 1 dx 6. dx xx 2 4 x 5 7. x 2 sin xdx Calculate the definite integral. 8. 2 0 x 2 3 x 1 2 2 x 3 dx 9. e 1 x 2 ln 2 x dx 10. 2 0 dx x 2 4 x 5

MATHEMATICS | 1220-90 | Calculus II | exam |Calculus II Practice Exam 2 Find the indefinite integrals of the following functions. 1. arccos x 1 x 2 dx 2. ln x 1 2 x dx 3. cos 3 x sin 2 xdx 4. dx x 2 x 1 5. xx 1 dx 6. dx xx 2 4 x 5 7. x 2 sin xdx Calculate the definite integral. 8. 2 0 x 2 3 x 1 2 2 x 3 dx 9. e 1 x 2 ln 2 x dx 10. 2 0 dx x 2 4 x 5

Schools|University of Utah

Departments in University of Utah

MATHEMATICS

MATHEMATICS

Popular courses from University of Utah

Popular documents from University of Utah