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A cylindrical drum has a diameter of 3 feet and stands 5 feet high. What is the volume of the drum? (Hint: Use V = ?r2h)
Write down 2 equations to compute a and P, one when t=2 and the other when t= 6.
A closed rectangular box has a volume of 32 cubic centimeters. What are the lengths of the edges giving the minimum surface area?
Solve the following LP problem graphically using Excel, Solve the following LP problem graphically using Excel with the computations in the cells
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
Jim Smith believes in 30 years he will need $80,000 to buy a retirement cottage. Assuming he gets an interest rate of 9% compounded annually, how much will he have to invest today to reach his retirement goal?
The fourth student changed every fourth locker, and so on. when all 500 students had taken a turn, which lockers remained open?
What percentage of the commuters are expected to use public transportation 6 months from now?
Prove that G has a non-trivial centre (hint: use the class equation)
Two standarddice are rolled and the resulting numbers are multiplied together. What percent of the time will the product be an odd number?
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
A package contains 9 candy canes, 6 of which are cracked. If 2 are selected, find the probability of getting no cracked candy canes.
Prove the following vector calculus identity in R 3 , where f is a twice continuously dierentiable scalar eld and F is a twice continuously dierentiable vector fi eld
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