If the terminal point determined by t is , find sin t, cos t and tan t.


Mathematics

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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

Mathematics

Determine whether the given points are on the graph of the equation.y = 6; (-4, 24)

A. Yes B. No

Mathematics

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

Mathematics

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

Mathematics