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a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
A fluid has density 4 and velocity field v=-yi+xj+4zk. Find the rate of flow outward through the sphere x^2+y^2+z^2=16
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Interpreting a normal quantile plot
Show a sketch of a region satisfying set of inequalities or system of inequalities
What is the probability that a randomly chosen employee is a manager and will gain promotion next year?
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
Describe a queuing process in your work environment or community. b) Identify the model (M/M/1, M/M/m, M,D,1 etc.) used and c) its operating characteristics (arrival, waiting line, and service facility). d) Explain the assumptions that were made.
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
Use logarithms and the law of tangents to solve the triangle ABC, given that a= 21.46 ft, b= 46.28 ft, and C = 32° 28' 30"
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of r(t)=100(e^(-.01t)) liters per minute. How much oil leaks out during the first hour?
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
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