Solve the problem.Find three positive numbers whose sum is 60 and whose product is a maximum.
A. 20, 15, and 15
B. 20, 20, and 20
C. 30, 15, and 15
D. 30, 30, and 30
Answer: B
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Find the surface area of the surface S.S is the intersection of the plane 3x + 4y + 12z = 7 and the cylinder with sides y = 4x2 and y = 8 - 4x2.
A.
B.
C.
D.
Complete the following:(a) Write the equation in slope-intercept form.(b) Give the slope and y-intercept of the line.15x - 4y = 3
A. (a) y = x -
(b) ; (0, -3)
B. (a) y = - x + 3
(b) - ; (0, 3
C. (a) y = x + 3
(b) ; (0, 3)
D. (a) y = - x - 3
(b) - ; (0, -3)
Provide an appropriate response.Find the square root of the positive variable:
A. x B. x6 C. x3 D. x12
Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation R = 7ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.(a) Suppose that a concentration of alcohol in the blood of 0.08 results in a 13% risk of an accident. Find the constant k in the equation.(b) Using this value of k, what is the risk if the concentration is 0.013?(c) Using the same value of k, what concentration of alcohol corresponds to a risk of 100%?(d) If the law asserts that anyone with a risk of having an accident of 12 or
more should not have driving privileges, at what concentration of alcohol in the blood should a driver be arrested and charged with a DUI? What will be an ideal response?