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A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done W in pulling the bucket to the top of the well.
Approximate the required work by a Riemann sum.
How do you explain why vectors QR and RQ are not equivalent? Explain when the elimination method for solving a system of equations is preferable to the substitution method.
Find the temperature at 9:01 A.M.,at 9:08 A.M.,and at 9:20 A.m.
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
a trapezoid has an area of 80.75sq. in and its two bases are 7 and 12 inches long. find the height of the trapezoid.
You earn 50,000 per year and in the 28% fed tax bracket. Each year you contribute 2,500 tax free to an IRA account. The account earns 8% annual interest. In addition, the amount of tax that you save each year by making these pre tax contributions ..
We are interested in finding the monthly payment for a $175,500 mortgage at 7.5% for 30 years. We use the loan payment formula for installment loans.
a box with no lid is created from a square of cardboard with a side length of 60 cm by cutting rectangles of length x by 2x from each corner (the extra side length of this square of 2x is folded over to create a double thickness side for added str..
This assignment has questions related to probabiltiy.
Explain Working with half life of a radioactive material, If a sample has a mass of 200 mg find a function describing the mass that remains after t days
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
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