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you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
What speed is the lamp's spot moving as it passes the point where it is perpendicular to shore? How fast is the spot moving along the shore when the spot is 1 km from the point at which it is perpendicular?
At the instant when the water in the container is 3 inches deep, the surface level is falling at the rate of -0.90 in./s. Find the rate at which water is being drained.
Which of the following is likely to have the shortest set up delay?
Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
Similarly, one additional unit will be occupied for each 6 dollar decrease in rent. What rent should the manager charge to maximize revenue.
Use polar coordinates to find lim(x,y)->(0,0) [(x)(y^2)]/[(x^2)+(y^2)] note that (x,y)->(0,0) is replaced with r->0^+. explain why this is a valid replacement.
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
Prove the following vector calculus identity in R 3 , where f is a twice continuously di erentiable scalar eld and F is a twice continuously di erentiable vector fi eld
Find the value of "a" that makes the following function differentiable at x = 2.
Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows.
How many ounces of pure zinc must be alloyed with 25 ounces of brass that is 30% zinc and 70% copper to produce brass that is 55% zinc?
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
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