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The curve for x=sqrt(In(y)) for 1<=y<=4 is rotated around the y-axis to form a container. The container is filled with a fluid that weights 80ib/ft^3. Length unites for x and y are in feet.
(a) Set up a definite integral (with respect to y) for the work (in ft-lb) required to empty the container by pumping all of the fluid to the top of the container. (Note: Do not use the acceleration due to gravity; pounds are already a unit of force.)
In triangle ABC, the lengths of line AB and line BC equal 13 centimeters. If the perimeter of triangle ABC is 36 centimeters, what is the area in square centimeters of triangle ABC?
A bookstore sells a total $4500 worth of math books, $3000 worth of science books, and $1200 worth of history books. the book store also sells several other types of books. the total sales are $11,000.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Sketch the Fourier series of f(x) on the given interval - Sketch the Fourier series
State the null & alternative hypotheses
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
Without doing any further calculation, what do you think the jeans in problem #1 would cost if they had gone on sale by 15% first and then had their price increased by 15%? Why?
Find all the subfield of K containing Q.
In a certain fraction, the demoninator is 4 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 7/5. Find the original fraction
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Perform the operation and make the result in standard form
Create 2 sets. Set A will be the list of the 5 items you personally need to buy the most (essential items). Set B will be the list of 5 items that you want to buy the most ( fun stuff).
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