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A farmer has 1900 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is requiredalong the river, find the demensions of the fence that will maximize the area. What is the maximum area?
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
The Potomac River is 796 miles shorter than the Snake River. The combined lengths of these 3 rivers is 3,685 miles. Find the length of each.
A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. If Jules wants to use the recipe to make a cake of the same depth but 12 inches in diameter
Find the average height of the ball over the time interval extending from the time of the ball?s release to its return to ground level. The height at time t is h(t) = 288t - 16t2
An ostrich, the worlds largest flightless bird, has a mass of 136 kilograms. A bee hummingbird, the worlds smallest bird, has a mass of 2 grams. How much more mass does the ostrich have then the hummingbird
given that fx is exactly divisible by x 1 i find the value of the constant k 2 ii solve the equation fx
Find the value of x & y that solve the following system of equations:
if a rectangular prism has a side of 69 square inches and one with 252 square inches and another side with 168 square inches then what is the volume of the box?
Rewrite the given linear programming problem as a maximization problem with constraints involving inequalities of the form ≤ (with the exception of the inequalities x ≥ 0, y ≥ 0)
The number of parks, y, being built in a city is a linear function of time, x, and is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive
Calculate the average rate of change of the given function over the general interval. f(x) = 1/x; [6,10]
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