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a carpenter is building a rectangular room with a fixed perimeter of 328 ft. what dimensions would yield the maximum area? what is the maximum area?
TO stop a base runner standing on first base from stealing second base, the catcher must throw the ball directly from home plate to second base. Which best represents this distance?
Multiple choice questions based on regression
Find the absolute maximum and absolute minimum values of the function f(x)= ((x^3)/3)-5x^(2)+24x on the interval[-3,10]
Parametric equations for the line through {1,2,3} parallel to the vector {5,6,-4} are, A friend taking the old-fashioned course tells you that the xyz-equations for this line are
the dimensions of a rectangle are ssuch that its length is 9in more than its length were doubled and the with were decreased by 4in the area would be increased by 168 in^2. what are the length and the with of the rectangle?
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
Find the length L and width W (with W leq L) of the enclosure that is most economical to construct.
A company car that has a seating capacity of six is to be used by six employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
Let S and T be subsets of the universal set U. Draw an appropriate Venn diagram and use the given data to determine the number of elements in each basic region.
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. THe function A = 27x - x^2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maxmimum area? Round to the nea..
A consulting engineer's time is billed at $60 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $765 for a certain job. If the assistant worked 4 hours less than the engineer, how much time did each bill on th..
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