Find the quotient. Assume all variables have positive values. Leave your answer in simplest form.

A. 6t
B. t2
C. 6t3
D. 6t2


Answer: A

Mathematics

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Find the particular solution to the given differential equation that satisfies the given conditions.y'' - 6y'+ 25y = 0, y = 4 at x = 0 and y = 5e3?/8 at x = ?/8

A. y = e3x(4 sin 4x + 5 cos 4x) B. y = 4e3x + 5e4x C. y = e4x(5 sin 3x + 4 cos 3x) D. y = e3x(5 sin 4x + 4 cos 4x)

Mathematics

Graph. -  = 1

A.

B.

C.

D.

Mathematics

Use the present value formula to determine the amount to be invested now, or the present value needed.The desired accumulated amount is $3100 after 2 years invested in an account with 5% interest compounded quarterly.

A. $3423.91 B. $2806.74 C. $293.26 D. $2811.79

Mathematics

Solve the problem.A runner is competing in an 8-mile race. As the runner passes each miles marker (M), a steward records the time elapsed in minutes (t) since the beginning of the race, as shown in the table. What is the runner's average speed over the first 3 miles? Round your answer to four decimal places.

A. 0.0862 miles/min B. 14.3266 miles/min C. 0.0649 miles/min D. 0.0698 miles/min

Mathematics