Consider the following function.

f(x) = x^2/7, a = 1, n = 3, 0.8 ≤ x ≤ 1.2

(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) ≈ tn(x) when x lies in the given interval.

(round your answer to eight decimal places.) |r3(x)| ≤

In exponential growth functions, the base of the exponent must be greater than 1,how would the function change if the base of the exponent were 1? how would the fiction change if the base of the exponent were between 0and 1

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

The zoo collects $9.60 for every 24 tickets sold. how much will be collected for 400 tickets?