Antiderivatives and Indefinite Integrals

May 28th, 2015
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The general form of the antiderivative is given as F(x) + C, where C is any constant, called the constant of integration. Any 2 antiderivatives of f will differ only by a constant.

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A set of intermediatealgebraproblems, with answers, are presented. Thesolutionsare at the bottom of the page.1. For what value of the constant K does the equation 2x + Kx = 3 have one solution?.2. For what value of the consatnt K does the equation Kx2+ 2x = 1 have two real solutions?3. For what value of the constant K does the system of equations 2x - y = 4 and 6x - 3y = 3K have an infinite number of solutions?4. Find Y so that the points A(0 , 0), B(2 , 2) and C(-4 , Y) are the vertices of a right triangle with hypotenuse AC.5. Find M so that the lines with equations -2x

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