If the terminal point determined by t is
, find sin t, cos t and tan t.
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -5, v(1) = 6, v '(1) = -2. (uv) at x = 1
A. 24 B. 36 C. -27 D. -36
Determine whether the given points are on the graph of the equation.y = 6; (-4, 24)
A. Yes B. No
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y is directly proportional to x. When x = 20, then y = 8.
A. k = ; y =
x
B. k = ; y =
x
C. k = 4; y = 4x
D. k = -12; y = x - 12
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217