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Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
The region R is the base of a solid. For this solid, the cross sections perpendicular to the x-axis are semicircles with diameters extending from y=f(x) to y=g(x). Find the volume of this solid.
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
In her wallet, Susan has 12 bills. 6 are $1 bills, 2 are $5 bills, 3 are $10 bills, and 1 is a $20 bill. She passes a volunteer seeking donations for the American Red Cross and decides to select 1 bill at random. Determine
Probability: Credit Card. Credit card companies have aggressively solicited new accounts from students who are new homeowners. Suppose that a sample of 150 new homeowners indicated the following information as to whether they possessed a Visa Card
If the train were announced to be running thirteen minutes late, how many times would you predict the man next to you would check the time?
Probability and combination based questions. A golf ball is selected at random from a golf bag. If the golf bag contains 9 Titleist's, 8 Maxflis, and 3 Top Flites, find the probability of each event.
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
The sequence of late times
If 82% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will take place?
Make the shape of the square.
If the minute hand and the hour hand on the clock both start at 12:00 when will the two hands first coincide? How many times will they coincide in 12 hours?
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
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