For each angle below,determine the exact coordinates of a point on the terminal arm of the angle in standard position.

a) 30°
b) 45°
c) 60°


Answer: a)
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b)  

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c)
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Mathematics

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Solve the problem.A spring with a spring constant k of 18 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 2 feet downward and released. If the weight experiences a retarding force in pounds equal to 10 times the velocity, find the equation of motion.

A. y ? e-10t(-0.250e8.000t + 2.250e-8.000t) B. y ? e-10t(2.250e8.000t + -0.250e-8.000t) C. y ? e-20t(-0.500e8.000t + 4.500e-8.000t) D. y ? e-10t(4.500e8.000t + -0.500e-8.000t)

Mathematics

Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = , g(x) = 3- 9
B. f(x) = , g(x) = 3+ 9
C. f(x) = -, g(x) = 3+ 9
D. f(x) = x, g(x) = 3+ 9

Mathematics

Find a1, r, an, n, or Sn for the geometric sequence, as instructed.a1 = 35, r = 3, an = 945; Find Sn.

A. 1400 B. 945 C. 455 D. 910

Mathematics

Graph the function and its inverse using the same set of axes. Use any method.f(x) = -3log x; f-1(x) = 10x/-3

A.

B.

C.

D.

Mathematics