Provide an appropriate response.Determine which technique would be the best initial step to verify each of the four identities below. Each of the identities involves a different technique as the initial step.
=
1 -
= cos2 ?
= 2 cot ? - 5 csc2 ? + tan2 ? - cot2 ? = sec2 ?Which of the following is not one of the four techniques required? I. Rewrite the
expression in terms of sines and cosines. II. Multiply the numerator and denominator of a quotient by the conjugate of the denominator. III. Use a Pythagorean identity. IV. Separate a quotient into one or more quotients. V. Use factoring techniques.
A. technique V
B. technique II
C. technique III
D. technique IV
Answer: D
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Find the indicated term of the geometric sequence.a5 when a1 = and r = 5.
A.
B.
C.
D.
Solve the problem.The annual precipitation for one city is normally distributed with a mean of 267 inches and a standard deviation of 3.4 inches. In what percentage of years is precipitation in the city between 260.2 inches and ?
A. 97.5% B. 95% C. 68% D. 99.8%
An expression that occurs in calculus is given. Factor completely.2(x + 4)(x - 3)3 + (x + 4)2 ? 4(x - 3)2
A. (x + 4)(x - 3)2(6x + 10) B. (x + 4)(x - 3)2(3x + 5) C. 2(x + 4)(x - 3)2(3x + 5) D. 2(x + 3)(x - 4)2(3x + 5)
Graph.y = x3 - 3
A.
B.
C.
D.