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If a ball is thrown directly upward with a velocity of 24 ft/s, its height (in feet) after t seconds is given by y = 24t - 16t^2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
Find the x-coordinate of the absolute maximum for the function f(x)=(3+9ln(x))/x x>0
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
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?
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
Calculate an interval estimate for the mean life, , of light bulbs of this type. In other words, construct a 90% confidence interval for the mean life, , of light bulbs of this type
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
One card is selected from the box at random, and the color on one side is observed. If this side is green, what is the probability that the other side of the card is also green?
Best Rentals charges a daily fee plus mileage fee for renting its cars. Barney was charged $105 for three days and 300 miles, while Mary was charged $193 for 5 days and 600 miles. What does Best Rental charge per day and per mile?
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
A communication tower is fixed to the top of a building. From a point 10 m from the base of the building, the angle of elevation to the top of the building is 60°, and to the top of the tower is 68°. What is the height of the communication tower, ..
chlorine residual is desired,how many kgs of chlorine per day are required for a flow of 1000 cubic meters per hour
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