use a linearization to estimate sin(pie+1/1000) find the taylor polynomial of third degree of sin(x) centered...
(a) Find the third-degree Taylor polynomial for f() = x3 +7x2 - 5x + 1 about 0. What did you notice? (b) Use a calculator to calculate sin(0.1)cos(0.1). Now, using the second-order Taylor polynomial, give an estimate for sin(0.1) cos (0.1). Estimate the same expression using the third-order Taylor polynomial, and compare the two approximations. Note that your estimates should be rounded to seven digits after the decimal place. (a) Find the third-degree Taylor polynomial for f() = x3 +7x2...
(1 point) Find the degree 3 Taylor polynomial T3(x) centered at a = 4 of the function f(x) = (-5x + 24)312]. T3(x) = ? ✓ The function f(x) = (-5x + 24)32) equals its third degree Taylor polynomial T3 (x)/centered at a = 4l. Hint: Graph both of them. If it looks like they are equal, then do the algebra.
4) Find the 5th degree Taylor polynomial centered at c = estimate f(1). for the function f(x) = sin I, and use it to Ans Estimate Ts(1.5): Ans Polynomial: 5) A batch of brownies are taken out of a 325°F oven, and placed on the counter in a room kept at a constant 76°F. After 45 minutes, the cookies have cooled to 185°F When will the cookies be 110°F? The differential equation for Newton's Law of Cooling is given by...
centered at a = 1. Find T(x), the third Taylor polynomial of f (x) = 10. a. b. IfTs (x) is used to estimate f(x) for x E L.9,1.t], use IR3 (x)l to find the largest possible error that can result. centered at a = 1. Find T(x), the third Taylor polynomial of f (x) = 10. a. b. IfTs (x) is used to estimate f(x) for x E L.9,1.t], use IR3 (x)l to find the largest possible error that...
Question No.8 (a) Find the third-degree Taylor polynomial for f() = r3+7x2-5r1 about 0. What did you notice? (b) Use a calculator to calculate sin(0.1) cos(0.1). Now, using the second order Taylor polynomial, give an estimate for sin(0.1)+cos(0.1). Estimate the expression using the third-order Taylor polynomial, and compare the two approximations. Note that your estimates should be rounded to seven digits after the decimal place. same Question No.8 (a) Find the third-degree Taylor polynomial for f() = r3+7x2-5r1 about 0....
plz show work 1. (a) Find T5(x), the Taylor polynomial of degree 5, for Inx centered at x = 1. (b) Evaluate Ts (3). How close is its value to In 3? (c) The interval of convergence for the Taylor series of In x centered at x= 1 is (0,2). Use the fact that Inx= - In to find a different value of x to use in Ts(x) to approximate In 3. How close is your approximation? 2. Long ago,...
Find the third degree Taylor Polynomial for the function f(x) = cos x at a = −π/4.
Q. f(n) = tan (n) 1) Compute degree - 2 Taylor Polynomial of f(n) centered at ua Je 4 (2) Use the Taylo Polynomial computed to estimate to stimete ! tau (I + 0.1). 3) using the fact that If(x) <3 for o excit tool show to that tapeeestarte 4 the estimate in part (2) is correct to within an error of 0.0005. f(n) = tan (1) To a) Compute the degree a Taylor - Polynomial of fin) centered at...
(1 point) Find the polynomial of degree 9 (centered at zero) that best approximates f(x) = ln(° +5). Hint: First find a Taylor polynomial for g(x) = ln(x + 5), then use this to find the Taylor polynomial you want 1/2 Now use this polynomial to approximate L'iniz? +5) da. -1/2 Lis(z) dx =
Exercise 287. Find the third degree Taylor polynomial that will approximate arctan(z) on the interval [-1, 1]. Calculate the maximal error of P3(x) on the interval Exercise 287. Find the third degree Taylor polynomial that will approximate arctan(z) on the interval [-1, 1]. Calculate the maximal error of P3(x) on the interval