Factor the perfect square trinomial.9x2 + 30x + 25
A. (3x + 5)2
B. (3x - 5)2
C. (3x - 6)2
D. (3x + 5)(3x - 5)
Answer: A
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (1 + t)3/2i +
(1 - t)3/2j +
tk
A. T = i +
j +
k; N =
i +
j
B. T = i -
j +
k; N =
i +
j
C. T = i -
j +
k; N =
i +
j
D. T = i -
j +
k; N =
i +
j
Find the specified quantity.Find the amplitude of y = -2 sin .
A.
B. -8
C. 2
D. 4
Use transformations of either the graph of y = ln x or y = log x to graph the given equation.y = 3.5 - 1.5 ln x
A.
B.
C.
D.
Solve the problem.Suppose a cost-benefit model is given by where C is the cost in thousands of dollars for removing p percent of a given pollutant. Find C(90) to the nearest dollar and interpret it.
A. $5800; It will cost $5800 to remove 0.90% of the pollutant. B. $5220; It will cost $5220 to remove 0.90% of the pollutant. C. $52,200; It will cost $52,200 to remove 90% of the pollutant. D. $9000; It will cost $9000 to remove 90% of the pollutant.