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Fermats theorem, Fermat's Theorem  If f(x) has a relative extrema at x...

Fermat's Theorem  If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.

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Rider dribbles the ball 1/3 of the basketball court on the first day of practice. Each day after that he dribbles 1/3 of the way more than he did the day before. Draw a number lin

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The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

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Harold is tiling a rectangular kitchen floor with an area that is expressed as x 2 + 6x + 5. What could the dimensions of the floor be in terms of x? Because area of a rectang

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Example: Find out a particular solution to y'' - 4y' - 12 y = 3e 5t Solution The point here is to get a particular solution, though the first thing that we're going to

Demerits and merit-the mode, The mode Merits i.  This can be dete...

The mode Merits i.  This can be determined from incomplete data given the observations along with the highest frequency are already known ii.  The mode has some applic

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