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Let denote the amount of money invested at 8. Find an expression in terms of for the amount invested at 6.
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
during the summer heat, a 4-mi bridge expands 4 ft in lenght. assumming the bulge occurs straight up the middle, how high is the bulge?
At the instant when the water in the container is 3 inches deep, the surface level is falling at the rate of -0.90 in./s. Find the rate at which water is being drained.
Find the work done pulling the bucket to the top of the well.
Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
An 8 by 10 inch photo is to be framed. The area of the photo and its frame is 168 square inches. What is the width of the frame?
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
A function f is given by the following table: Approximate the area between the x-axis and y=f (x) from x=0 to x=4 using Simpson's Rule.
When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the laun..
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