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Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form
b m/n
where m and n both are integers.
We will begin simple by looking at the given special case,
b1/ n
where n refer to an integer. Once we have figured out the more general case provided above will in fact be pretty simple to deal with.
Let's first described just what we mean by exponents of this form.
a= b 1/n is equivalent to an =b
In other terms, when evaluating b 1/n, we are actually asking what number (in this case a) did we rise to the n to get b. Frequently b 1/n is called the nth root of b.
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Level Curves or Contour Curves Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are t
The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To
1. Find the third and fourth derivatives of the function Y=5x 7 +3x-6-17x -3 2. Find the Tangent to the curve Y= 5x 3 +2x-1 At the point where x = 2.
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit
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Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +
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