91Ó°ÊÓ

The volume of a sphere is given by \(V=\frac{4}{3} \pi r^{3}\). Use a tangent line to approximate the increase in volume, in cubic inches, when the radius of a sphere is increased from 3 to 3.1 inches. (A) \(\frac{0.04 \pi}{3}\) (B) \(0.04 \pi\) (C) \(1.2 \pi\) (D) \(3.6 \pi\)

The maximum value of the function \(y=-4 \sqrt{2-x}\) is (A) 0 (B) -4 (C) -2 (D) 2

A circular conical reservoir, vertex down, has depth \(20 \mathrm{ft}\) and radius at the top \(10 \mathrm{ft}\). Water is leaking out so that the surface is falling at the rate of \(\frac{1}{2} \mathrm{ft} / \mathrm{hr}\). The rate, in cubic feet per hour, at which the water is leaving the reservoir when the water is \(8 \mathrm{ft}\) deep is (A) \(4 \pi\) (B) \(8 \pi\) (C) \(\frac{1}{4 \pi}\) (D) \(\frac{1}{8 \pi}\)

A line with a negative slope is drawn through the point (1,2) forming a right triangle with the positive \(x\) - and \(y\) -axes. The slope of the line forming the triangle of least area is (A) -1 (B) -2 (C) -3 (D) -4