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A grapefruit is tossed straight up with an initial velocity of 58 ft/sec. The grapefruit is 6 feet above the ground when it is released. Its height at time T is given by y=-16T^2+58T+6. How high does the grapefruit go before returning to the ground?
Find the volume of the solid bounded by the cylinder y^2 + z^2 = 4 and the planes x = 2y, x = 0, z = 0 in the first octant. Calculate the double integral by using two iterated integrals with different orders of x and y integration. Do not use pola..
find the exponential function of the form y=ae kx that goes through the points (0,4) and (2,9).show all your steps and use four decimal places.
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
To pay for their child's college education, the parents invested $10,000, part in a certificate of deposit paying 8.5% annual interest, the rate in a mutual fund paying 7% annual interest. The annual income from the mutual fund. How much money was..
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Part 1: Solve each of the quadratic equations below. Show your work.
A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin. To avoid the organ, the entry point of the laser must be 12.4 cm above the tumour along the skin.
Which is the most econmical purchase?
Find p-value and interpret its meaning
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
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