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The rate of change of Area, A, of a circle is 32 π in2/min when the radius is 2 in. Find the rate of change of the radius of the circle ( i.e., dr/dt) when the radius is 2 in.
Use de Moivre's formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work. Prove that G is isomorphic to Z5 Let F be a field. Let S and T be subfields of F.
Solve the simultaneous linear equations by using the following methods. Algebraic Elimination Method
Use the arc length formula to find the length of the curve
A man rows a boat 480 feet upstream against a constant current in 8 minutes. He then rows 210 feet downstream ( with the same current) in 3 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Budweiser, Miller and Coors, together with their subsidiary brands and foreign corporate partner brands produce 80% of all beer consumed in the US. Each spends well over $600 million a year on television advertising campaigns, promoting their beer br..
I want to be earning an annual salary of $100,000 when I retire in 21 years. I have been offered a job that guarantees an annual salary increase of 4% per year, and the starting salary is negotiable. What is the lowest salary that I should request..
Write pseudo-code to implement the following a company makes two products product1 and product2. Using arrays, store monthly sales of each product over a 12 month period.
Best rentals charge a daily fee plus a mileage fee for renting its cars. Barney was charged $123.00 for 3 days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best rental charge per day and for mileage.
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
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