Solve the problem.The derivative of a function can be used to find the slope of the line tangent to its graph. If the slope of the line tangent to the graph of f(x) = -x3 + 7 at (3, -20) is -27, write the equation of this tangent line.
A. y = -27x + 47
B. y = -27x + 61
C. y = -27x - 61
D. y = -27x - 47
Answer: B
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Express the integrand as a sum of partial fractions and evaluate the integral.
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Name the quadrant in which the angle ? lies.cos ? > 0, csc ? < 0
A. I B. II C. III D. IV
Solve the problem.Twenty random numbers are generated to simulate the outcomes of the sexes of the children in a three-child family. If an even digit simulates a girl and an odd digit a boy, use these results to determine the probability that a family has at most one boy.590506021366063667374153662591685274310673964351774640298961
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Find the product.(y - 7)(y2 + 7y + 7)
A. y3 + 56y + 49 B. y3 - 42y - 49 C. y3 - 14y2 - 42y - 49 D. y3 + 14y2 + 42y + 49