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The water from a fire hose follows a path described by y=2.0+4.0x-0.10x^2 (units are in meters). If Vx is constant at 10.0 m/s, find the resultant velocity at the point (4.0, 2.0). Find the magnitude of the velocity of the water at the point (4.0,2.0).
Rework problem 11 from section 1.3 of your text, involving high school students. Assume that 26 take mathematics, 26 take psychology, and 13 take mathematics and psychology.
Write the polynomial equation for the area of the lawn. Use the variable to represent the width of the lawn. Do not use any other variables.
Write MAPLE code to automatically generate the pictures above from any given polynomial. Use colors to make the picture clear. You will have to hand in the MAPLE code that automatically generated your pictures AND to write a conjecture based on yo..
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.
SALES PROMOTION The Lady Bug, a women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given.
What can you say about the reduced echelon form of A?
A dipstick is made to measure the volume remaining in the conical container shown in Fig.
How many small screen televisions must be produced in a month in order to minimize the company's average cost? Show all steps and justify your answer.
Find the UNIT vector u in which the rate of change (i.e., directional derivative) of f at (1, 2, 3) maximum. What is the maximum rate of change of f at (1, 2, 3)?
Explain how you know that the following two pairs of equations parameterize the same line: x = 2 + t, y = 4 + 3t and x = 1 - 2t, y = 1 - 6t.
Find the average content of oxygen in the pond over the first 10 days after organic waste has been dumped into it.
nick has a goal to pay his credit card balance in full by june 30. when he first wrote his goal in december his
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