Question: 1. Evaluate the given integral by using three terms at the appropriate series. [1.9 I sin sad): I] I sin 3:34:13: m D I] [Round

[Round to four decimal places as needed} Evaluate the given function by

using three terms of the appropriate Taylor series. Find the first three

nonzero terms of the Taylor expansion for the given function and given

value of a. sin x a Choose the correct answer below. 12

Evaluate the given integral by using three terms at the appropriate series. [1.9 I sin sad): I] I sin 3:34:13: m D I] [Round to four decimal places as needed} Evaluate the given function by using three terms of the appropriate Taylor series. Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. sin x a Choose the correct answer below. 12 1/2 12 12 O A. 2 + X - X - 2 4 2 A 2 O B. V2 V2 1/2 IT 2 2 X - + 4 X - 2 OC. - 12 12 12 2 X - + X - 2 2 4 4 V2 1/2 12 32 O D. + X - X - + . . . 2 2 4 AFind the first three nonzero terms of the Taylor expansion for the given function and given value of a. f(x) = X (a = 2) Choose the correct answer below. O A. 1-5(x - 2) + 7 (x - 2)2 + ... O B. 1- 7(x - 2) + 5(x - 2)2 + ... 1 O C. - 1+7(x -2) - 7(x - 2)2 + ... 1 OD. - 1+7(x-2) -5(x - 2)-+ ...The current i in a certain electric circuit is i = 14 sin xt. Write the first three terms of the Taylor series of this function about t = 1. Choose the correct answer below. O A. 14 sina- + 14xcosm (t - x) - 712 sinn (t- x)?+... O B. 14 sin x2 + 14 cosm2(t - m) - 14 sinn? (t - 1)2 + ... O C. 14 sin x2 + 14x cos 12(t - 1) - 1412 sinn?(t-m)2+... O D. 14 sinx-+ 14 cosm (t - 1) - 7 sinn?(t- m)2 + ...Find at least three nonzero terms (including a, and at least two cosine terms and two sine terms if they are not all zero) of the Fourier series for the given function, and sketch at least three periods of the function. Which of the following is the Fourier series for the given function? O A. f(x ) = 7 3 - cos x + HIN cos 3x + ... - ~ sinx - = sin 3x - ... 6 O B. f(x) = = 3 IN - COS X - cos 3x - ... O C. f(x) = = 6 N/W - sin x + sin 3x + ... O D. f(x) = = 6 N/W sin x - sin 3x - ...Find at least three nonzero terms (including a, and at least two cosine terms and two sine terms if they are not all zero) of the Fourier series for the given function, and sketch at least three periods of the function. Which of the following is the Fourier series for the given function? 20 20 20 20 O A. f(x) = 2 COS X - cos 3x - ... sin x q Sin 3x - ... 20 20 20 20 O B. f(x) = - 2 COS X - cos 3x - .. + sin x + sin 3x + ... 20 20 O C. f(x ) = - COS X - cos 3x - ... 20 20 O D. f(x) = 2 + sin x + g Sin 3x +

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