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6. Which of the following is a particular solution to the differential equation when x = e5 and y = 10? In|x| A. y = x - 30 C. y In|8x|- 30 D. y = 8 In|x - 30 B. y = 81n|x] + C 7. Using integration by substitution in fx5(x - 2)³dx, what is du? A. x³dx C. (x - 2)dx B. 6x5dx D. x²(x - 2)³dx cos x 8. If (cos³x B) dx = == +C, what is the B? A. - - sin x C. - cos x B. D. secx CSC X 11

6. Which of the following is a particular solution to the differential equation when x = e5 and y = 10? In|x| A. y = x - 30 C. y In|8x|- 30 D. y = 8 In|x - 30 B. y = 81n|x] + C 7. Using integration by substitution in fx5(x - 2)³dx, what is du? A. x³dx C. (x - 2)dx B. 6x5dx D. x²(x - 2)³dx cos x 8. If (cos³x B) dx = == +C, what is the B? A. - - sin x C. - cos x B. D. secx CSC X 11

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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2. Which of the following can be integrated using substitution? A. √x sin x dx C. fx sin(x²) dx B. x² sin x dx D. fx sin²x dx 3. Which of the following is an antiderivative of 8x³? A. 2x¹ + x B. 2x¹ - x C. 2(x¹ - 1) D. 2x(x³ - 1) 4. Which of the following is not a separable differential equation? dy A. dy = xy C. y = 0 dx dx dy dy 1 B. = 2 cos x D. dx dx ₂y = ex 5. If y = ax"+1, n = -2, then which of the following is equal to fydx? A. ax²+1 ax²+1 +C C. +C 12+2 7+1 ax²+2 B. ax²+2 +C D. +C 12+1 12+2 6. Which of the following is a particular solution to the differential equation when x = e5 and y = 10? dx A. y == -Inx - 30 C. y = In|8x|- 30 B. y = 81n|x] + C D. y = 8 In|x - 30 7. Using integration by substitution in fx5(x − 2)³dx, what is du? A. x5dx C. (x - 2)dx B. 6x5dx D. x5(x6 - 2)³dx cos*x 8. If (cos³x B) dx = +C, what is the B? A. - sinx C. - COS X B. D. CSC X secx 9. Which of the following is equal to feºdt? A. ee C. ex + C B. ee + C D. eºt + C 10. What should be the value of A so that A sin (6x²) dx = - . A. x C. 3x B. 2x D. 4x 11. What is f dx? x-1 A. +C B. + x + C D. x(2x²+3x+6) 6 In (Inx) dx, which substitution should be used? X Inx C. u= x D. u = ln(lnx) 12. In solving A. u = ¹/ X B. u = lnx cos(6x²) +C,? +²+2x+C + C || x
Transcribed Image Text:2. Which of the following can be integrated using substitution? A. √x sin x dx C. fx sin(x²) dx B. x² sin x dx D. fx sin²x dx 3. Which of the following is an antiderivative of 8x³? A. 2x¹ + x B. 2x¹ - x C. 2(x¹ - 1) D. 2x(x³ - 1) 4. Which of the following is not a separable differential equation? dy A. dy = xy C. y = 0 dx dx dy dy 1 B. = 2 cos x D. dx dx ₂y = ex 5. If y = ax"+1, n = -2, then which of the following is equal to fydx? A. ax²+1 ax²+1 +C C. +C 12+2 7+1 ax²+2 B. ax²+2 +C D. +C 12+1 12+2 6. Which of the following is a particular solution to the differential equation when x = e5 and y = 10? dx A. y == -Inx - 30 C. y = In|8x|- 30 B. y = 81n|x] + C D. y = 8 In|x - 30 7. Using integration by substitution in fx5(x − 2)³dx, what is du? A. x5dx C. (x - 2)dx B. 6x5dx D. x5(x6 - 2)³dx cos*x 8. If (cos³x B) dx = +C, what is the B? A. - sinx C. - COS X B. D. CSC X secx 9. Which of the following is equal to feºdt? A. ee C. ex + C B. ee + C D. eºt + C 10. What should be the value of A so that A sin (6x²) dx = - . A. x C. 3x B. 2x D. 4x 11. What is f dx? x-1 A. +C B. + x + C D. x(2x²+3x+6) 6 In (Inx) dx, which substitution should be used? X Inx C. u= x D. u = ln(lnx) 12. In solving A. u = ¹/ X B. u = lnx cos(6x²) +C,? +²+2x+C + C || x
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