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Example of Partial Fraction Decomposition Evaluate the following integral. ∫ (3x+11 / x 2 -x-6) (dx) Solution: The 1 st step is to factor the denominator so far as
The cost of renting a bike at the local bike shop can be represented through the equation y = 2x + 2, where y is the total cost and x is the number of hours the bike is rented. Whi
what are the dimensions of the box that can be made if squares of x cm by x cm is cut off from 20cm by 20cm square paper
Find the derivatives of each of the following functions, and their points of maximization or minimization if possible. a. TC = 1500 - 100 Q + 2Q 2 b. ATC = 1500/Q - 100 +
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Solution : We'll require the first and second derivative to do that. y'(x) = -3/2x -5/2 y''(x) = 15/4x -7/2 Plug these and also the funct
two sides of an equilateral triangle have lengths 3x-1 and 3x-1. Which of 27-x or 2x-4 could be the length of the third side?
Derivative for the trig function: We'll begin with finding the derivative of the sine function. To do this we will have to utilize the definition of the derivative. It's been wher
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