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A ball is thrown vertically upward with an initial velocity of 96 feet per second. the distance in feet of the ball from the ground after t second is s = 96t - 16t2. For what intervals of time is the ball less than 128 above the ground (after it is tossed until it returns to the ground)?
Find three positive numbers whose sum is 54 and whose product is as large as possible and find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
Use the Midpoint Rule, with n=4, to approximate the area of the region bounded by f (x)=x^3 -8x^2+16x and the x-axis between x=0 and x=4. Round answer to two decimal places.
A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum p..
About 12% of the population is math phobic. If two people are randomly selected, what is the probability both are math phobic? What is the probability at least one is math phobic?
What is the significance of path independence? How does this relate to energy calculations?
At East Zone University (EZU) there are 631 students taking College Algebra or Calculus. 350 are taking College Algebra, 360 are taking Calculus, and 79 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?
A trough is to be made with an end of the dimensions shown. The length of the trough is to be 21ft long. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
The base of a rectangular tank is 3m by 4m and is 10m high. Water is added at a rate of 8m^3/min.Find the rate of change of water level when the water is 5m deep.
Sketching the graph of equation of line and evaluate the equation of the circle from the given information.
Health Care is 7%, Clothing is 6%, and Miscellaneous is 11%. To the nearest dollar, how much will be spent to provide housing for the child?
what is the probability that there will be a collision? Round your answer to 4 decimal places. Remember to round all z values to two decimal places.
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
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