Consider the following function. f(x)=x8/7, a = 1, n = 3, 0.7 sxs 1.3 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR₂(x) s (c) Check your result in part (b) by graphing IR₂(x)\. y 0.00015 0.00010 0.00005 O 0.8 X 0.9 1.0 1.1 1.2 1.3 00 y -0.00005 -0.00010 -0.00015 X 08 0.9 1.0 1.1 TR 1.3 02 y -0.00005 -0.00010 -0.00015 1.2 1.3 0.00015 0.00010 NEV 0.00005 0.8 0.9 1.0 1.1 0.8 0.9 1.0 1.1 1.2 1.3 y

Q: 4. Consider the function f(x) = e-¤*/2. Suppose you approximate this function with a O for a value a…

A: Given the function  fx=e-x22centered at a=0 for a value x in the interval 1,3.

Q: The number of bacteria in a refrigerated food product is given by N(T) = 29T2130T +38, 5<T< 35 where…

A:

Q: Consider the following function. f(x) = x3/5, a = 1, n= 3, 0.8 Sxs 1.2 (a) Approximate f by a Taylor…

A: Here, we are given f(x)=x3/5, a=1, n=3, 0.8≤x≤1.2. For (a), We need to approximate f by a Taylor…

Q: A store noticed that it could model its yearly profit by the function p ( t ) = 0.3 t 2 + 4.8 t − 9,…

A: The function is pt=0.3t2+4.8t-9.   Substitute 1 for t in the equation pt=0.3t2+4.8t-9.…

Q: 2. For the function f(x)=xnx ,given that X f(x) 0.105 0.130 0.155 0.180 -0.23665 -0.26523 -0.28897…

A: Given : x 0.105 0.130 0.155 0.180 0.205 f(x) -0.23665 -0.26523 -0.28897 -0.30866 -0.32487 To…

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: rate of profit in thousands of dollars after t years,P'(t)=10t+10t2+2t+213

Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: Z'(t) = + 2t (3t² + 6.05) where t is time in days since the Zombie horde was accidentally released…

A: