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What is the area of the region bounded by y=sin(x), y=cos(x), and the x-axis between x=0 and x=pi/2
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
If they deposit this money at the end of each month into a savings account paying interest at the rate of 6.5%/year compounded monthly, how much money will be in their travel fund at the end of the fourth year? (Round your answer to the nearest ce..
Create a sign chart for the first derivative indicating the intervals of increase and decrease and the relative extrema.
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
Explain how the temperature difference between the poles and the equator drives the motion of the oceans and atmosphere. What are the differences between ice caps and glaciers?
Write an equation and solve: The cellular phone service for a business executive is $30 per month plus $.50 per minute of phone use. In a month when the executive's phone bill was $67.50, how many minutes did the executive use the phone?
Should you develop this product? How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
Probability : Distribution and Expected Value, A large sports conference moved to have women compose at least 40% of its athletics within 5 years
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
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