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Find a degree 
Magazine Problem 3
Find the area between the curves on the given interval. $$y=e^{x}, y=x-1,-2 \leq x \leq 0$$
Problem 4
Find the volume of the solid with cross-sectional area \(A(x)\). $$A(x)=2(x+1)^{2}, 1 \leq x \leq 4$$
Problem 4
Show that the given function is a pdf on the indicated interval. $$f(x)=\cos x,[0, \pi / 2]$$
Problem 4
Find the area between the curves on the given interval. $$y=e^{-x}, y=x^{2}, 1 \leq x \leq 4$$
Problem 4
Approximate the length of the curve using \(n\) secant lines for \(n=2 ; n=4\) \(y=\ln x, 1 \leq x \leq 3\)
Problem 4
A wrestler lifts his 300 -pound opponent overhead, a height of 6 feet. Find the work done (as measured in foot-pounds).
Problem 4
Sketch the region, draw in a typical shell, identify the radius and height of each shell and compute the volume. The region bounded by \(y=x, y=-x\) and \(x=1\) revolved about \(x=1\).
Problem 5
Sketch the region, draw in a typical shell, identify the radius and height of each shell and compute the volume. The region bounded by \(y=x, y=-x\) and \(y=2\) revolved about \(y=3\).
Problem 5
Show that the given function is a pdf on the indicated interval. $$f(x)=\frac{1}{2} \sin x,[0, \pi]$$
Problem 5
A rocket full of fuel weighs 10,000 pounds at launch. After launch, the rocket gains altitude and loses weight as the fuel burns. Assume that the rocket loses 1 pound of fuel for every 15 feet of altitude gained. Explain why the work done raising the rocket to an altitude of 30,000 feet is \(\int_{0}^{30,000}(10,000-x / 15) d x\) and compute the integral.
