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when a circular plate of metal is heated, its radius increases at a rate of 0.02cm/min. at what rate is the plate's area increasing when the radius is 52 cm?
Mark a point at the intersection of two rulings. The lattice point. Seven units to the right and four units up, mark another. Use a ruler to find the distance from one point to the other
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
Evaluate the integral by completing the square and using the following formula. (Remember to use ln |u| where appropriate.)
Sampling Distribution and Sample Mean : Probability, The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statisti..
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
Probability: Joint Probability Mass Function, Covariance and Variance Let X and Y have joint probability mass function Pr{X = i, Y = j}= c(i + 1)(j + 2) for i >= 0, j >= 0, and i + j
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3).
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
A computer programming team has 12 members. How many ways can a group of 7 (out of the 12 members) be chosen to work on a special project? Explain.
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