Solve.A science student watching a group of ants moving along a straight line determines that their position x along the line as a function of time t is given by  Give an equivalent expression for x(t) by factoring out a common factor.

A. t(t2 + 3t + 26)
B. t(t3 + 3t2 + 26t)
C. t(t2 + 3t - 26)
D. t(t3 + 3t2 - 13t + 39)


Answer: D

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = csc(cot x)

A. y = csc u; u = cot x;  = csc(cot x) cot(cot x) csc2 x
B. y = cot u; u = csc x;  = csc2(csc x) csc x cot x
C. y = csc u; u = cot x;  = csc3 x cot x
D. y = csc u; u = cot x;  = - csc(cot x) cot(cot x)

Mathematics

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.Of the 120 students in an algebra class, 3 of them received an F on the mid-term exam. What percent of the algebra students received an F on the exam? (Round to the nearest tenth of a percent, if necessary.)

A. 400% B. 25% C. 40% D. 2.5%

Mathematics

Provide an appropriate response.The equation y = x2 is satisfied by the points (2,4) and (-2,4). A horizontal line may be drawn between these two points. Is y = x2 a function? Why or why not?

What will be an ideal response?

Mathematics

Find the domain of the logarithmic function.f(x) = ln 

A. (0, ?) B. (6, ?) C. (-6, ?) D. (1, ?)

Mathematics