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Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=4x-x^2 about the x-axis over the interval [0,4].
Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Ernesto is going to choose 2 flowers. First, he will choose a flower for his mother the second flower he chooses will be for his sister. The florist has two blue flowers, 1 red flower and 1 yellow flower.
Given the following matrices/vectors:linear systems: find x,y such that Ax=b and Ay=a (note x, y with vector character over each)
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
Demand,Revenue, & the Largest Reduction to maximize Revenue, 200 DVD players are sold per week for $300 each. For each $10 rebate (reduction in sale price), 20 additional DVD players are sold.
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Solving problems on probability.
Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
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