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cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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SAINT LOUIS UNIVERSITY LABORATORY HIGH SCHOOL - SENIOR HIGH UNIVE TLOUIS BASIC CALCULUS 2. Which of the following can be integrated using substitution? A. Sx sinx dx B. Sx² sin x dx C. Sx sin(x²) dx D. Sx sin?x dx 3. Which of the following is an antiderivative of 8x3? А. 2х4 + x В. 2х4 — х С. 2(х* — 1) D. 2x(x³ – 1) 4. Which of the following is not a separable differential equation? dy A. 2 = xy dx C. dx dy 5y = 0 2 dy = 2 cos x dy Gy = e* В. D. dx dx 2 5. If y = ax"+1, 1, n # -2, then which of the following is equal to S ydx? axn+1 C. + C axn+1 А. + C n+1 n+2 В. axn+2 + C n+1 axn+2 D. + C n+2 8 6. Which of the following is a particular solution to the differential equation dx when x = e5 and y = 10? С. у %3DIn|8x| -30 D. y = 8 In|x| – 30 In|x| A. y = А. у 3 - 30 8. B. y = 8 In|x| + C _7. Using integration by substitution in S x5(x6 - 2)³dx, what is du? A. x*dx В. бх5 dx С. (х6 — 2)dx D. x5(x6 – 2)³dx cos*x 8. If S(cos³x · B) dx = – + C, what is the B? A. - sin x C. - cos x 1 В. D. - cscx secx 9. Which of the following is equal to fee dt? C. eex + C D. eet + C A. e В. ее + С 10. What should be the value of A so that S A · sin (6x²) dx = cos(6x²) + C,? 4 А. х С. Зх D. 4x В. 2х _11. What is S dx? x-1 c. 플+플+2x +c x(2x²+3x+6) A. 3 C. 3 B. +x +C В. D. + C 6 12. In solving Smth dx, which substitution should be used? ( In (In x). A. u =! C. u = Inx В. и 3D Inx D. u = In(In x) operty of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting ne, or transmitting in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise of any part 119 of this document, without the prior written permission of SLU, is strictly prohibited.
Transcribed Image Text:SAINT LOUIS UNIVERSITY LABORATORY HIGH SCHOOL - SENIOR HIGH UNIVE TLOUIS BASIC CALCULUS 2. Which of the following can be integrated using substitution? A. Sx sinx dx B. Sx² sin x dx C. Sx sin(x²) dx D. Sx sin?x dx 3. Which of the following is an antiderivative of 8x3? А. 2х4 + x В. 2х4 — х С. 2(х* — 1) D. 2x(x³ – 1) 4. Which of the following is not a separable differential equation? dy A. 2 = xy dx C. dx dy 5y = 0 2 dy = 2 cos x dy Gy = e* В. D. dx dx 2 5. If y = ax"+1, 1, n # -2, then which of the following is equal to S ydx? axn+1 C. + C axn+1 А. + C n+1 n+2 В. axn+2 + C n+1 axn+2 D. + C n+2 8 6. Which of the following is a particular solution to the differential equation dx when x = e5 and y = 10? С. у %3DIn|8x| -30 D. y = 8 In|x| – 30 In|x| A. y = А. у 3 - 30 8. B. y = 8 In|x| + C _7. Using integration by substitution in S x5(x6 - 2)³dx, what is du? A. x*dx В. бх5 dx С. (х6 — 2)dx D. x5(x6 – 2)³dx cos*x 8. If S(cos³x · B) dx = – + C, what is the B? A. - sin x C. - cos x 1 В. D. - cscx secx 9. Which of the following is equal to fee dt? C. eex + C D. eet + C A. e В. ее + С 10. What should be the value of A so that S A · sin (6x²) dx = cos(6x²) + C,? 4 А. х С. Зх D. 4x В. 2х _11. What is S dx? x-1 c. 플+플+2x +c x(2x²+3x+6) A. 3 C. 3 B. +x +C В. D. + C 6 12. In solving Smth dx, which substitution should be used? ( In (In x). A. u =! C. u = Inx В. и 3D Inx D. u = In(In x) operty of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting ne, or transmitting in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise of any part 119 of this document, without the prior written permission of SLU, is strictly prohibited.
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