a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = e - 10x
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- Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = In (1-8x) a. Po(x) = ₁ P₁ (x) = ₁P₂(X) = b. Graph the Taylor polynomials and the function. Choose the correct graph below. O A. f(x) 2- -0.5 P(x) Ау 2 Po(x) 015 P(x) X Q N O B. P(x) -0.5 P1) 4 2 Ay f(x) Po(x) 05 X O C. -1 -0.5 (X) 2 2 P₁(x) 05 R₂(x) Xa. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = (1 + 3x) 1
- a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = In (1-x) a. Po(x) =a. Find the nth-order Taylor polynomials of the given function centered at the given point a, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x)= 11 In (x), a = 1 ← The Taylor polynomial of order 0 is po(x) = The Taylor polynomial of order 1 is p₁(x)= The Taylor polynomial of order 2 is p₂(x)=¯ Choose the correct graph below. OA. f(x) P₁(x) Q 16- 8+ 5 Av Po(x) \p₂(x) O B. 161 8- Ay Po(x) P₁(x) f(x) U O C. Av 16- 8- Po(x) P₂(x) f(x) \p+(x)a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x) = e-x a. Po(x) = P₁(x) = P₂(x) = b. In the graphs, let po (x), p₁(x), and p₂(x), denote the Taylor polynomials of orders 0, 1, and 2, respectively. Choose the correct graph below. O A. O B. O C. Q -P₂(x) P₂0) A(x) +P/(x) X Pb(x) -4 -2 92 F₁(x) GIN f(x) P(x) -4 -2 Po(x) = P₁(x) N fix) 08 -4 -2 Pox) 1₂ Na
- Find the Taylor polynomial T3(x) for the function f centered at the number a. -7x a = 0 T3(x) = f(x) = xe Graph f and T3 on the same screen. -1.0 I -1.0 -0.5 -0.5 y 2 1 y 2 1 0.5 0.5 1.0 1.0 X X -1.0 - 1.0 -0.5 -0.5 y 2 1 -1 y 2 -1 -3 -4H 0.5 0.5 1.0 1.0 X XFind the nth Taylor polynomial for the function, centered at c. f(x) x2 n- 4, c-2 P4(x) -6a. Find the Taylor polynomial for the function f(x)=√ centered at x=49 with degree 2. b. Use the Taylor polynomial to approximate √50
- C1. SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the Taylor polynomial of order 2 of the function e²x at the point x = 0Find the Taylor polynomial T2(x) and compute the error |f(x) – T2(x)| for the given values of a and x. f(x) = esin(x) х3D 1.5 2 a = (Round your answer to six decimal places.) T2(1.5) = (Round your answer to two decimal places.) If(1.5) – T2(1.5)| = X10-4