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A bowl is shaped like a hemisphere with diameter 68 cm. A ball with diameter 16 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
A missile is fired vertically intothe air.the distance s(in m)above the ground as a funcation of time t(in s)is given by s=100+500-4.9t^2. when will the missele hit the ground?
Find the volume of the solid whose base is the region bounded by y=x^{6}, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles.
In R2, let triangle ABC be a right triangle with right angle at angle C. Consider the altitude CH (it meets AB perpendicularly). Prove that |CH|^2 = |AH| * |BH|.
A person who can row 2.6mph in still water wants to row due east across a river. The river is flowing from the north at a rate of 0.8mph. Determine the heading of the boat required for the boat to travel due east across the river.
In Algebra, when using the addition method, how can you tell if a system of linear equations has infinitely many solutions?
A separate sample of 500 people is mailed the second brochure; 125 get the credit card. Are the two campaigns equally attractive to customers? Find the test statistic.
the intensity of reaction to a certain drug t hours after administration is given by R(t)=te^-.01t. find the average intensity of reaction to the drug during the first three hours after it is administered.
The ends of a horizontal water tank are parabolic. The tank is 9 feet tall and 6 feet across at the top. Find the fluid force on a parabolic end of the tank if the tank is 5 feet full. Assume that the water weighs 62.4 pounds per cubic feet.
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
a cylindrical storage tank has a diameter of 18 feet and a height of 16 feet. what is the volume of the storage tank.
The correlation between weekly sales and shelf space.
A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?
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