Find the phase shift of the function.y = 2 cos (3?x + 5)
A. 5 units to the right
B. units to the right
C. 5 units to the left
D. units to the left
Answer: D
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Evaluate.
A. -1 B. 1 C. 0 D. -10
Find the limit.
A. Does not exist B. 1/2 C. 1/4 D. 0
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 3, -7, 2 + 5i
A. f(x) = x4 - 50x2 + 200x - 609 B. f(x) = x4 - 5x3 - 15x2 + 100x - 609 C. f(x) = x4 - 5x3 + 15x2 - 100x + 609 D. f(x) = x4 - 8x2 + 200x - 609
Solve the problem.In the formula A(t) = A0ekt, A is the amount of radioactive material remaining from an initial amount A0 at a given time t, and k is a negative constant determined by the nature of the material. A certain radioactive isotope decays at a rate of 0.25% annually. Determine the half-life of this isotope, to the nearest year.
A. 200 yr B. 120 yr C. 3 yr D. 277 yr