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If you have 248 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Find the equation of the Straight line from the given data - Evaluate the equation of the indicated curve, subject to the given conditions,
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
What sample size is needed for this study? There is a trick in this question!! note that 3200 and 3800 are equally distant from 3500, so think two-sided!
Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
Find the exact area of the surface obtained by rotating the curve about the x axis y=sinpiex/6,0
use the method of substitution to solve the system of linear equation.
If G acts on X, pi1(X) = {e}, and for all x elements of X there exists Ux neighborhood of X such that Ux intersection g(Ux) = empty set for all g elements of G{e}, then pi1(XG) is homeomorphic to G.
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
Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
Please solve for the following: Find a particular solution to, Solve: A Second Order ODE y'' + 5y' +4y = -13te^(3t)
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
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