Evaluate the integral using the given substitution.
, u = cot 7?
A. - cot2 7? + C
B. csc3 7? cot2 7? + C
C. cot2 ? + C
D. - tan2 7? + C
Answer: A
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Use the inverse trig functions to express the angle in terms of the indicated unknown side. ?Given that y = 9, express angle A in terms of x. Use one of the inverse trig functions tan-1, sin-1, or cos-1.
A. A = sin-1
B. A = tan-1
C. A = tan-1
D. A = sin-1
Use the formula for simple interest, I = P × r × t, to find the missing quantity.I = $1665; P = $5550; r = 6%
A. t = 6 years B. t = 8 years C. t = 5 years D. t = 7 years
Solve the problem.A data set consists of 139 test scores. Over a long period it has been found that the mean and standard deviation for these scores are known and that the scores are normally distributed. How many scores within this data set should lie between the mean and two standard deviations below the mean? Round your answer to the nearest whole number.
A. 47 B. 69 C. 133 D. 66
Provide an appropriate response. If the discriminant of a quadratic has the value of -8, what is the nature of the roots?
A. The equation has one rational root. B. The equation has no real number roots. C. The equation has two real number roots. D. The equation has two real number equal roots.