Solve the problem.f(x) = tan x is defined over the interval .(a) Approximate the area A by partitioning  into 4 subintervals of equal length and choosing u as the left endpoint of each subinterval.(b) Approximate the area A by partitioning  into 8 subintervals of equal length and choosing u as the right endpoint of each subinterval.(c) Express the area A as an integral.(d) Use a graphing utility to approximate this integral to three decimal

places.

What will be an ideal response?


(a)1.282(b)1.760(c)?(d)2.649

Mathematics

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Find the prime factorization of the composite number.11,475

A. 33 × 52 × 17 B. 34 × 17 C. 32 × 53 × 17 D. 54 × 17

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Simplify the expression.

A. 1 B. sec2 x C. csc2 x D. cot2 x

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Write the expression as a logarithm of a single expression. Assume that variables represent positive numbers.log27 + log212

A. log284 B. log419 C. log484 D. log219

Mathematics

Solve the problem.Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 42 in. and a base of 54 in. If the glitter costs $0.40 per ft2 to cover the felt, how much will it cost to cover the felt?

A. $6.30 B. $25.20 C. $907.2 D. $75.60

Mathematics