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Negative function , Negative function : Several functions are not positive...

Negative function : Several functions are not positive however.  Consider the case of f (x ) =x 2 - 4 on [0,2].  If we utilizes n = 8 and the midpoints for the rectangle height w

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Area with Parametric Equations In this section we will find out a formula for ascertaining the area under a parametric curve specified by the parametric equations, x = f (t)

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Making Equally Sized Groups :  By the time children reach Class 1 or 2, they would have had many experiences of pairs of objects-pairs of shoes, pairs of eyes, ears, arms, legs, w

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Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c

Rational expressions, Now we have to look at rational expressions. A ration...

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e

Determine the head loss, A 3 km pipe starts from point A end at point B ...

A 3 km pipe starts from point A end at point B Population = 3000 people Q = 300 L/day/person Roughness = cast ion pipe Length of the pipe = 3km Case 1 From A to B

Find out primes of each denominator, Find out primes of each denominator: ...

Find out primes of each denominator: Add 1/15 and 7/10 Solution: Step 1:             Find out primes of each denominator. 15 = 5 x 3 10 = 5 x 2 Step 2:

Solve 2 ln (x) - ln (1 - x ) = 2 single logarithm, Solve 2 ln (√x) - ln (1 ...

Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x  - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2

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