Graph the piecewise-defined function if if , and

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What will be an ideal response?

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Mathematics

Solve the problem.A spring with a spring constant k of 8 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 4 feet downward and released. If the weight experiences a retarding force in pounds equal to 0.15 times the velocity, find the equation of motion.

A. y ? e-0.15t(4 cos 4t + 0.15 sin 4t) B. y ? e-0.075t(4 cos 4t + 1.2 sin 4t) C. y ? 4 sin 4t + 1.2 cos 4t D. y ? e-0.15t(4 sin 4t + 0.15 cos 4t)

Use a tree diagram showing all possible results when a die is rolled twice. List the ways of getting the following result.The sum of the numbers showing is either 4 or 5 and one die is a 2.

A. (2,2),(2,3),(3,2) B. (2,2),(2,3) C. (2,3),(3,2) D. (2,2),(3,2)

Use the even-odd identities to find the exact value of the expression. tan (-30°)

A. - 
B. -
C.
D.

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x4 - 6x3 + 11x2 - 12x + 18

A. -3 (multiplicity 2), 2i, -2i ; f(x) = (x + 3)²(x - 2i)(x - 2i)
B. 3 (multiplicity 2), i, -i ; f(x) = (x - 3)²(x - i)(x + i)
C. 3 (multiplicity 2), , - ; f(x) = (x - 3)²(x - )(x + )
D. -3, 3 , i, -i ; f(x) = (x - 3)(x + 3)(x - i)(x + i)