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from a rectangular piece of cardboard having dimensions an open box is to be made by romoving squares of area x squared from each corner and turning up the sides. show that there are two boxes that have a volume of 1000 inches.
The strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from a circular cylindrical log of radius r.
cylender find the shaded area diameter small inside cylender is 1 and the height is 5 the shadded area the radius is 3 and the height 5 what is the shaded area.
Jane works due north of home. Her husband Ben works due east. They leave for work at the same time. By the time Jane is 3 miles from home, the distance between them is on mile more then Ben's distance from home. How far from home is Ben?
What is the probability that you obtain a black ball?
Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen?
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees.
Find the demand function(price as a function of attendance), assuming it to be linear.
Find the slope and intercepts. If necessary, round all answers to 2 decimal places.
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
If the train were announced to be running thirteen minutes late, how many times would you predict the man next to you would check the time?
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
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