Establish the identity.cot2x = (csc x - 1)(csc x + 1)
What will be an ideal response?
cot2 x = csc2 x - 1 = (csc x - 1)(csc x + 1).
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Find the average value of the function over the given interval.f(x) = 2x + 14 on [-7, 7]
A. 196 B. 7 C. 14 D. 28
Find u ? v.u = -5j, v = 7i
A. -12 B. 2 C. 12 D. 0
Solve the problem.Let g(x) = 6x + x2. Find a so that g(a) = -5.
A. {0, -5}
B. 
C. {-5, -1}
D. {5, 1}
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