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you are designing a rectangular poster to contain 256 inches squared with a 3 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used ?
Find the perimeter of the rectangle - the perimeter and then evaluate the perimeter polynomial If x is 4 feet.
Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?
Calculate the ambiguity function of a signal with an envelope u(t) = Bexp(-t^2)T^2). What should be the value of B that will make the signal of the unit energy?
The inflection points and global extrema.
What is the rate of change of the radius of the lower ball at moment when the radius of the middle ball is 12in?
An architect has allocated a rectangular space of 264 ft second power for a square dining room and a 10-ft wide kitchen. Find the dimension of each room.
Betweenness in taxicab geometry. Let A = (0,0) B = (1,0) and C = (1,1) and let k denote the taxicab metric.
Solving problem on distributive Laws
If 4 Americans, 3 Frenchmen and 3 Englishmen are to be seated in a row, how many seating arrangements are possible when people of the same nationality must sit next to each other?
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).
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it..
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