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Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 7 + 2x2 + 2y2 and the plane z = 13 in the first octant.
What is the probability that the ball chosen is an odd-numbered ball or a ball with a number less than or equal to 5?
A ball drops from a height of 22 feet. Each time it hits the ground, it bounces up 70 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Determine the correct degree of freedom
a pole is driven into the ground so that 7/8 of the pole is above the ground. If the pole is 6m. long. How long is the part of the pole driven in the ground?
A car rental agency rents 180 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income and what is the maximum income?
A cube has a sphere inscribed inside of it. It has another sphere circumscribed on the outside ot if (it being the cube). What is the ratio of the volume of the inside sphere to the volume of the outside sphere?
A farmer has 360 feet of fencing to enclose wo adjacent rectangular corrals. What dimensions should be used to maximize the enclosed area?
What are two or more other curves or graphs that you use or observe in the business environment? Why are they important and how are they used?
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
how many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
what is the NPV of the system? What is the payback period for this project? Draw the graph. What is the ROI for this project?
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
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