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1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.
2. A coin is tossed upward from a balcony 220 ft high with an initial velocity of 48 ft/sec. During what interval of time will the coin be at a height of at least 60 ft?
(h = -16t2 + v0t + hQ)
1. a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by
Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region Question 2. The density of a hemisphere of radius a (y
NATURAL NUMBERS The numbers 1, 2, 3, 4.... Are called as natural numbers, their set is shown by N. Hence N = {1, 2, 3, 4, 5....} WHOLE NUMBERS The numbers 0, 1, 2, 3, 4
Find out the linear approximation for at x =8 . Utilizes the linear approximation to approximate the value of and Solution Since it is just the tangent line there
Frederick bought six books which cost d dollars each. What is the total cost of the books? Frederick would multiply the number of books, 6, through how much each one costs, d.
P and Q are the points (12,0) and (0,-5) respectively,find the length of the median through the origin O of the triangle OPQ
advanteges of duality
Data collected from the STATS 10x class survey one semester included responses to questions on the number of different sexual partners and on the number of pairs of shoes the stude
Example of Probability Illustration: It has been determined that the probability density function for the wait in line at a counter is specified by, In which t is the
Find out the product of 5.2 × 10 3 and 6.5 × 10 7 . Write your answer in scientific notation. To multiply numbers written within scienti?c notation, multiply the ?rst numbers
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