Find the indicated tangent line.Find the tangent line to the graph of f(x) = 3e-7x at the point (0, 3).

A. y = 21x - 3
B. y = 3x + 3
C. y = 7x - 3
D. y = -21x + 3


Answer: D

Mathematics

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Replace the polar equation with an equivalent Cartesian equation.r2 = 46r cos ? - 6r sin ? - 9

A. 46x - 6y = 9 B. (x - 23)2  + (y + 3)2 = 529 C. (x + 46)2  + (y - 6)2 = 9 D. (x - 23)2  + (y + 3)2 = 9

Mathematics

Provide an appropriate response. A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?

A. decrease by 18 m2 B. decrease by 6 m2 C. increase by 108 m2 D. decrease by 78 m2

Mathematics

Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438 B. 0.487 C. 0.91 D. 0.856

Mathematics

Find the coordinates of the vertex of the quadratic function.f(x) = -7(x - 5)2 - 9

A. (-9, 5) B. (-7, -5) C. (5, -9) D. (-5, -9)

Mathematics