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Gravel is being dumped from a conveyor belt at a rate of 50 {rm ft}^3{rm /min}. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 18 ft high?
Give an example which shows that in the matrix chain multiplication problem, adding a matrix on the right can force the breakpoint to the left. You can find an example using just 4 matrices
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Show that the curve with parametric equations x=sin(t), y=cos(t), and z=sin^2(t) is the curve of the surfaces z=x^2 and x^2 + y^2=1. Use this fact to help sketch the curve.
How much should he invest in each to maximize his return? Assume the investment returns are as expected.
A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.
In trip calculation, it is observed that a Wal-Mart store driver successfully made a total of 104 trips in a given period of time. During field calculation, it is shown that the calculated number of trips is actually 128. What is the value of the ..
Marginal and conditional density. A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco.
Find the slope of this curve where it meets the right pole.
Evaluate the number of ways between two town from the word problem - How many ways are there to go from A to C?
Combine from JPE, Fall 90 and Spring 97) Let A ∈ C^(n X n) be a normal matrix. Prove that A - M is normal for any λ ∈ C. Prove that ||Ax||2 - ||∧*x||2 for all x ∈ C^n
The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 second..
Solve each of the following equations for the unknown variable.
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