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A cylindrical tank full of water measures 3 feet high and has a circular base with a radius of 1 foot. Suppose the tank is drained at a rate of ¼ cubic foot per minute. What is the rate of change in the height of the water in the tank with respect to time?
A ball drops from a height of 21 feet. Each time it hits the ground, it bounces up 80 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
in a local district 800 republicans, 500 democrats and 200 independent voters. if a voter is chosen at random what is the prabability that the voter selected is not republican?
Find the natural domain of the given functions.
a month for its economy plan The equation c=20t + 30 describes the total cost c of operating a media services phone for t month
Write a formula to express the following sentence: The sale price is 20% off the original price. Use S for sale price and P for original price to express S as a function of P.
In 2007, a bank was offering 4.39% interest on its online Orange Savings Account, with interest reinvested quarterly. Find the associated exponential model for the value of a $4,000 deposit after t years.
Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
Parametric equations for the line through {1,2,3} parallel to the vector {5,6,-4} are, A friend taking the old-fashioned course tells you that the xyz-equations for this line are
A large boat needs at least 4 meters of water to secure it at the end of the pier. Determine what time period after noon the boat can safely be secured.
find the perimeter of one of the smaller rectangles using systems of equations.
A poster is to have an area of 240 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
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