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Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Q2: Let f(x,y) = x2 +3y -3xy and R is the triangular region with vertices (0, 0), (2, 0) and (2, 2). Find the interior and boundary points only at which the absolute extrema of f(x, y) can occur.
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
Probability of payment before creation of credit policy, Mucklehoney Sports operates a mail-order running shoe business.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
What is the probability of drawing three queens in a row from a deck of cards when the drawn card is returned each time?
Find Roulette probability. One option in a roulette game is to bet $18 on red.There are 18 red compartments,18 black compartments,and 2 compartments neither red nor black.If the ball lands on red you get to keep the $18 you paid to play the game
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
Superman, The Flash, The Green Lantern, Batman, and Wonder Woman went out to lunch. Wonder Woman went to the ladies room just before the meal was brought out by the waiter.
Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907
Solving problem on distributive Laws
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Find the point P on the line passing through both the origin and the point 1,1,1 that is closest to the point 2,4,4. Then find the point q on the line passing through both the origin and the point 2,4,4
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