Exam 3.pdf - Print Test PRINTABLE VERSION Test 3 You scored 48 out of 48 Question 1 Your answer is CORRECT Give the form of the partial fraction

# Exam 3.pdf - Print Test PRINTABLE VERSION Test 3 You scored...

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This preview shows page 1 out of 6 pages. Unformatted text preview: 10/19/2017 Print Test PRINTABLE VERSION Test 3 You scored 48 out of 48 Question 1 Your answer is CORRECT. Give the form of the partial fraction decompostion for the following rational function. 3x + 1 x a) b) c) d) e) f) A B A − 2x x + 1 Bx + C + x − 2 A x B + x 2 2 + 1 C D + + x − 2 A x + 1 B C + x + 2 (x + 2) A B 2 + x 2 + 1 C + x 2 + x − 2 x − x C + x 3 + x + 2 A x − 1 B + x + 2 (x − 1) 2 Question 2 Your answer is CORRECT. Give the form of the partial fraction decompostion for the following rational function. 4x + 4 2 (x − 2) a) A (x − 2) (x 2 + 2) Bx + C 2 + x 2 + 2 1/6 10/19/2017 b) c) Print Test A B x − 2 (x − 2) A 2 + x B x − 2 (x − 2) A 2 + 2 Cx + D + d) 2 + x 2 + 2 B (x − 2) e) Cx + + 2 x A 2 + 2 B + x − 2 (x − 2) C 2 + x 2 + 2 Question 3 Your answer is CORRECT. Which of the following represents a correct substitution used to compute: ∫ a) b) c) d) e) ∫ 4 tan(θ) dθ 2 ∫ (θ) sec(θ) dθ 4 tan 2 ∫ 16 tan 2 ∫ ∫ 2 ‾ dx √‾ x‾‾‾‾‾ − 16 16 cos (θ) sec(θ) dθ (θ) sin(θ) dθ 16 tan(θ) sec(θ) dθ Question 4 Your answer is CORRECT. Suppose that the trigonometric substitution x integral is = 2 tan θ is used to compute an integral and the answer to the 1 θ + sin θ + C 5 Finish the problem by rewriting the answer in terms of x . 2/6 10/19/2017 a) b) c) d) e) Print Test 1 x + sin x + C 5 1 −1 tan 5 1 −1 tan 1 −1 tan 5 1 (2) −1 tan 5 + x‾‾‾‾ − 4 ‾ √‾ 2 ‾‾‾‾‾ ‾ √x + 4 + + C x x (2) x + + C 2 ‾‾‾‾‾ ‾ √x + 4 x (2) + C x x (2) 5 2 x x + + C 2 x‾‾‾‾ − 4 ‾ √‾ Question 5 Your answer is CORRECT. The graph of 1 f (x) = is given below: 3 ‾ √‾ x‾‾‾‾ + 2 8 If you use numeric integration to determine ∫ 1 dx 0 with , which of the following statements n = 8 3 ‾‾‾‾‾ ‾ √x + 2 are true? a) Of all of the methods we have learned, the best approximation of this integral would be given if the midpoint method is used. 3/6 10/19/2017 b) Print Test Ln < Rn . 8 c) d) Ln > ∫ 1 dx 3 ‾‾‾‾‾ ‾ √x + 2 0 Rn > Sn Question 6 Your answer is CORRECT. Which of the following indeﬁnite integrals cannot be computed by any method we have studied thus far? a) b) c) d) e) 2 ∫ 5e dx x ∫ 2 5 xe x ∫ 6 xe x ∫ dx 2 x ∫ x 3x e dx dx 2 3 (e ) dx Question 7 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will ﬁll this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 783 Given 4 ∫ x dx 2 2 x‾‾‾‾ − 4 ‾ √‾ Part a: (3 points) Explain why this integral is improper. Part b: (10 points) Re-write the integral using proper limit notation then compute the integral. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. 4/6 10/19/2017 Print Test Question 8 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will ﬁll this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 824 Compute: 2 ∫ 4 tan (x) sec (x) dx a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 9 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will ﬁll this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 913 Compute ∫ 4 x ln(x) dx a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 10 Your answer is CORRECT. This is a written question, worth 13 points. DO NOT place the problem code on the answer sheet. A proctor will ﬁll this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1056 Use partial fraction decomposition to determine 4x − 3 ∫ dx (x − 2) (x + 3) 5/6 10/19/2017 Print Test a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. 6/6 ...
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