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a poster is to contain 100 square inch of picture surrounded by a 4-inch margin at the top and bottom and a 2 inch margin on each side. FInd the overall dimensions that will minimize the total area of the poster.
A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial
what is the surface area of a rectangular prism its 10ft long and 6ft wight and 8ft tall?
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day.
at full speed a motorboat can travel 64 miles upstream in 8 hours, but it can travel the same distance downstream in 4 hours. In miles per hour, what is the maximum speed of the motorboat in still water?
The local weather station (which we'll assume is accurate in giving forecasts) predicts that the chance of rain is 25 percent for the day of the concert. What is Jeff's expected earnings from the concert?
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
A rectangle is constructed with its base on the x axis and two of its vertices on the parabola y=16-x^2. what are the dimensions of the rectangle with the maximum area?
A pie is removed from a 375 degree F oven and cools to 215 degree F after 15 minutes in a room at 72 degree F How long will it take for
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
t an altitude of 8 miles and passes directly over a radar antenna. When the plane has a distance 10 miles from the radar, the radar detects that the distance in increasing at a rate of 300 miles/hour. What is the speed of the plane?
The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. The speed of the Holiday in still water is 15 km/h, what is the speed of the current.
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