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Recall that a group contains an element ε such that εx = x = xε for every x in the group. Now assume that we are given some element a such that for one specific y we have ay = y. Show that a must be the identity of the group.
The function P(t) = 145e-0.092t models a runner's pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner's puls..
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
The monthly sales at an import store are currently $10,000 but are expected to be declining at the rate of S'(t) = -10t^(2/5) dollars per month t months from now. The store is profitable as long as the sales level is above $8,000 per month. Find a fo..
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled. What is the absolute maximum concentration of the antibiotic during the first 12 hours?
Return to the original assumptions in this problem. Now, suppose that investors' risk aversion increases and the required rate of return on the market, R(RM), increases to 16 percent. (There is no change in the risk-free rate because RF reflects t..
Find the area under the standard normal curve to the right of z = 1.65. Round to four decimal places
which station is really selling the cheaper gas and how much cheaper is that gas?
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
Discuss the stability of the equilibrium points when Epidemic, "endemic" and not the phase portrait of the each case
Parameterize a cycloid: the path of a point on the circumference of a circle of radius a as it rolls without slipping along the positive x-axis.
Identify the Intervals where f(x) is decreasing and Intervals where f(x) is concave down
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