![Part I. Do both of 1 and 2. (40 = 2 x 20 each] 1. Compute the integrals in any four (4) of a - f. [20 = 4 x5 each] /2 In (In(](http://img.homeworklib.com/questions/8e48ec10-e9ab-11ea-8702-eb398bdd2dd4.png?x-oss-process=image/resize,w_560)
Homework Answers
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are...
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are vertical asymptotes for both functions. Assume that the graphs continue in the same way as x approaches a 0 and 4(eg stays on top close to = 0, and stays on top close to-). Which of the following statements is TRUE? g(x) f(x). -3 O If 9(x) dx converges, then dar converges too. Isla) na ſs) dx either both 0 The integrals 9(2) dar...
6. Evaluate each of the following integrals: 2² - x+3 (a) dar (x + 1)(x2 +...
6. Evaluate each of the following integrals: 2² - x+3 (a) dar (x + 1)(x2 + 4) So
SIDE A Part I. TRUE OR FALSE QUESTIONS. 1. S* x sin(x) dx = x =...
SIDE A Part I. TRUE OR FALSE QUESTIONS. 1. S* x sin(x) dx = x = x So* sin(x) dx. A. False B. True 2. / ze*dx + ***dz - / redz A. True B. False 3. 5* 5 sin(x) dx = 5 * sin(x) dx. A. True B. False 4. ds "ninta) dir = * = sin(a) dår. A. False B. True 1 5. یة x2 dx = 0 3 B. False A. True A. False B. True *...
(1 point) Find the Fourier approximation to f(x) = x over the interval (-11, ] using...
(1 point) Find the Fourier approximation to f(x) = x over the interval (-11, ] using the orthogonal set {1, sin , cos x, sin 22, cos 2x, sin 3%, cos 3x}. You may use the following integrals (where k > 1): | 1 dx = 27 - x dx = 0 sin(kx) dx = 1 L z sin(kx) dx = (-1)k+1 cos(kx) dx =1 L", cos(kx) dx = 0 Answer: f(2) + 2/pi sin + -2/pi + + 0...
10. (26pts) Find each of the definite integrals, indefinite integrals, and derivatives. 2 dx .22 5)...
10. (26pts) Find each of the definite integrals, indefinite integrals, and derivatives. 2 dx .22 5) / see?zda (7 - cos x) dc (d) dc sin (x2 – 4) dt (e) ["47" (3+z")" dx () /22"/+ 2 du
F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Cal...
F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Calculus? (This has nothing to do with being able to find an antiderivative), D) S B) sin() In(x) dx (C) x tan(x) dx A) dr dx 1+e In(x2 +1) dx sin(® dx\ (G) J V+ sin H) F) 2 dx o )u xb [(x)1-(x)ul, 3 x+1dx be evaluated using the FTOC ? C)
F) 3w-5 w-25 (2) Which of the following definite...
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x...
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz...
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives o...
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives of the following functions (a) f(z)= /5x +1 (b) gla) = (2r -3)(a2 +2) (c) y = In (x + Vx2 - 1) 4. Find the intervals on which the following function is decreasing. f(z) = 36x +3r2 - 2r 5. Evaluate the following integrals. r dr (a) sec2 tan (b) dar 3 (c) da 5x+1 1. Sketch the...
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx...
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx 6.[(x+5) Ževæ#5dx 2. f x sin 8x dx -5 (1 + In x) sin(x Inx) dx Sin2x sin x cos x dx 5. 7. 5 2x(x2 + 4)5dx 8. dx
Graphs of functions and are shown below. Suppose x = 0 and x = -1 are vertical asymptotes for both functions. Assume that the graphs continue in the same way as x approaches a 0 and 4(eg stays on top close to = 0, and stays on top close to-). Which of the following statements is TRUE? g(x) f(x). -3 O If 9(x) dx converges, then dar converges too. Isla) na ſs) dx either both 0 The integrals 9(2) dar...
6. Evaluate each of the following integrals: 2² - x+3 (a) dar (x + 1)(x2 + 4) So
SIDE A Part I. TRUE OR FALSE QUESTIONS. 1. S* x sin(x) dx = x = x So* sin(x) dx. A. False B. True 2. / ze*dx + ***dz - / redz A. True B. False 3. 5* 5 sin(x) dx = 5 * sin(x) dx. A. True B. False 4. ds "ninta) dir = * = sin(a) dår. A. False B. True 1 5. یة x2 dx = 0 3 B. False A. True A. False B. True *...
(1 point) Find the Fourier approximation to f(x) = x over the interval (-11, ] using the orthogonal set {1, sin , cos x, sin 22, cos 2x, sin 3%, cos 3x}. You may use the following integrals (where k > 1): | 1 dx = 27 - x dx = 0 sin(kx) dx = 1 L z sin(kx) dx = (-1)k+1 cos(kx) dx =1 L", cos(kx) dx = 0 Answer: f(2) + 2/pi sin + -2/pi + + 0...
10. (26pts) Find each of the definite integrals, indefinite integrals, and derivatives. 2 dx .22 5) / see?zda (7 - cos x) dc (d) dc sin (x2 – 4) dt (e) ["47" (3+z")" dx () /22"/+ 2 du
F) 3w-5 w-25 (2) Which of the following definite integrals cannot be evaluated using the Fundamental Theorem of Calculus? (This has nothing to do with being able to find an antiderivative), D) S B) sin() In(x) dx (C) x tan(x) dx A) dr dx 1+e In(x2 +1) dx sin(® dx\ (G) J V+ sin H) F) 2 dx o )u xb [(x)1-(x)ul, 3 x+1dx be evaluated using the FTOC ? C)
F) 3w-5 w-25 (2) Which of the following definite...
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives of the following functions (a) f(z)= /5x +1 (b) gla) = (2r -3)(a2 +2) (c) y = In (x + Vx2 - 1) 4. Find the intervals on which the following function is decreasing. f(z) = 36x +3r2 - 2r 5. Evaluate the following integrals. r dr (a) sec2 tan (b) dar 3 (c) da 5x+1 1. Sketch the...
Question 5. Find the following indefinite integrals: 1. fre'de 4. .Js 3.f x In x dx 6.[(x+5) Ževæ#5dx 2. f x sin 8x dx -5 (1 + In x) sin(x Inx) dx Sin2x sin x cos x dx 5. 7. 5 2x(x2 + 4)5dx 8. dx
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