Solve the problem.f(x) = 2x - 2 is defined on the interval . In (a) and (b), approximate the area under f as follows:(a)Partition  into four subintervals of equal length and choose u as the left endpoint of each subinterval.(b)Partition  into four subintervals of equal length and choose u as the right endpoint of each subinterval.(c)What is the actual area A?

Fill in the blank(s) with the appropriate word(s).


(a) 12 (b) 20 (c) 16

Mathematics

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Solve the problem.In 1985, John invested $24,000 in the stock market. By 1990 his investment had grown to $28,500. If the market continues to grow approximately linearly, how much will be in his account in 1994? Give your answer to the nearest dollar.

A. $32,100 B. $33,000 C. $27,601 D. $28,501

Mathematics

Provide an appropriate response. ÷  =

A.
B.
C.
D.
E.

Mathematics

Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula   find the surface area S as a function of the time t.

A. S(r(t)) = ?t6
B. S(r(t)) = ?t9
C. S(r(t)) = ?t3
D. S(r(t)) = ?t6

Mathematics

Simplify the radical. Assume that all variables represent positive real numbers.

A. 3y
B.
C.
D.

Mathematics