Find the average value of the function on the given interval.f(x) = x2 e5x; [0, 5] Give your answer in exact form.

A. e25  - 
B. e25  - 
C. e25  - 
D. e25 


Answer: A

Mathematics

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Find the linear approximating polynomial for the function centered at a.f(x) = tan x, a = 0

A. L(x) = x B. L(x) = 4x + 1 C. L(x) = -x D. L(x) = 0

Mathematics

Provide an appropriate response.Find the mistake in the following problem:  54 × 53 = 257

What will be an ideal response?

Mathematics

Rewrite the quadratic function in standard form by completing the square.f(x) = x2 + 3x + 1

A. f(x) = (x + 3)3 - 9
B. f(x) = 2 + 
C. f(x) = (x - 3)3 - 9
D. f(x) = 2 - 

Mathematics

Solve the problem.There are five brands of a product on the market, three of which have very loyal customers who never change brands. The transition matrix for the five brands is shown below (where the brands are labeled A, B, C, D, and E). About how many times, on average, will a person currently using brand C or brand D use his or her current brand before trying one of the brands that have loyal followings? Round your answer to the nearest hundredth.ABCDE

A. 0.23 B. 1.40 C. 1.22 D. 2.62

Mathematics