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Question: The United Postal Service requires that for any rectangular package, the sum of its length and girth (cross sectional distance) not exceed 108 inches. Determine the dimensions of the package of largest volume that may be sent, satisfying this requirement.
Write an integral that represents the arc length of the portion of the graph of f(x) = -x(x - 4) that lies above the x-axis. Do not evaluate the integral.
Find a real-world application of a linear equation and discuss the meaning of the equation. Then explain how the values of the slope affect the overall meaning of the equation.
Determine if the following DT sequences satisfy the DTFT existence property.
Preservation of sign. Let be a continuous function from a metric space (X, d) to R, with the usual metric. Prove (directly) that the set {x ? X; (x) > 0}.
In given Exercises, reduce the given augmented matrices to their row-reduced echelon form and, where appropriate, use the result to solve the related system.
After running 3 miles at a speed of x mph, a man walked the next 6 miles at a speed that was 2 mph slower. Express the total time spent on the trip.
Lauren plans to deposit $3000 into a bank account at the beginning of next month and $250/month into the same account at the end of that month and at the end of each subsequent month for the next 7 yr.
Eight parties have arrived and are waiting for tables at a restaurant but are seated in random order. What is the probability that the parties are seated in the order in which they arrived?
Assuming that no trees die, what should be the total number of trees in the city in the year 2020? Show how you found your answer. In a 1989 newspaper article, the city claimed that it would have a total of 5,000 trees in the city by the time of ..
water is leaking out of an inverted conical tank. the tank has a height of 6 meters and the diameter at the top is 4 meters. write the volume of the tank as a function of its height h of the water.
In finding the illumination at a point x feet from one of two light sources that are 100 ft apart, it is necessary to solve the equation.
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
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