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A retired potter can produce china pitchers at a cost of $5 each. She estimates her price function to be p = 17 - 0.5x, where p is the price at which exactly x pitchers will be sold per week. Find the number of pitchers that she should produce and the price she should charge in order to maximize profit. Also find the maximum profit.
Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
Given that with these definitions, V satisfies vector space axioms 1,2,3,6,8,9,and 10 determine whether or not V is a vector space by checking to see if axioms 4,5,7,are also satisfied.
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
Simple linear regression model
A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
From a total of 15 people, three committees consisting of 3, 4, and 5 people, respectively, are to be chosen. How many such sets of committees are possible if there is no restriction on the number of committees on which a person may serve?
What is the future value if $4900 is invested for 3 years at an annual rate of 12% compounded monthly? What is the annual percentage yield (or effective annual rate) for a nominal rate of 7.3% compounded quarterly?
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
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