The acceleration function of a body moving along a coordinate line is a(t) = 7cos2t - 8sin 2t t ? 0.


Find its velocity and position functions at any time t if it is located at the origin and has an initial
velocity of 4 m/sec.


Mathematics

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Determine whether the statement is true or false.If n is a natural number and 8|n, then 16|n.

A. True B. False

Mathematics

Factor by grouping.15x6 + 6x3 - 20x3 - 8

A. (3x3 + 4)(5x3 - 2) B. (3x6 - 4)(5x + 2) C. (3x3 - 4)(5x3 + 2) D. (15x3 + 4)(x3 - 2)

Mathematics

Solve. Remember to insert units when writing your answer.An oil drum holds 40 gal of oil. If 16 gal and 1 qt have been removed, how much oil remains?

A. 24 gal 3 qt B. 23 gal 3 qt C. 24 gal 1 qt D. 23 gal 7 qt

Mathematics

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 4-x + 5

A. domain of f: (-?, ?); range of f:(4, ?) 
horizontal asymptote: y = 4

B. domain of f: (-?, ?); range of f:(5, ?) 
horizontal asymptote: y = 5

C. domain of f: (-?, ?); range of f:(5, ?) 
horizontal asymptote: y = 5

D. domain of f: (-?, ?); range of f:(4, ?) 
horizontal asymptote: y = 4

Mathematics