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Find the least and greatest number of coins, Marc goes to the store with ex...

Marc goes to the store with exactly $1 in change. He has at least one of each coin less than a half-dollar coin, but he does not have a half-dollar coin. a. What is the least nu

Naive regular perturbation of the form, Consider the equation e x 3 + ...

Consider the equation e x 3 + x 2 - x - 6 = 0, e > 0 (1) 1. Apply a naive regular perturbation of the form do derive a three-term approximation to the solutions

Progressions, The sum of the series 1+1/2+1/4+......is

The sum of the series 1+1/2+1/4+......is

Find the sum of given equation upto n limit, Find the sum of (1 - 1/n ) + (...

Find the sum of (1 - 1/n ) + (1 - 2/n ) + (1 - 3/n ) ....... upto n terms. Ans: (1 - 1/n ) + (1 - 2/n ) - upto n terms   ⇒[1+1+.......+n terms] - [ 1/n + 2/n +....+

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Relation is not a function, The following relation is not a function.   ...

The following relation is not a function.                   {(6,10) ( -7, 3)  (0, 4)  (6, -4)} Solution Don't worry regarding where this relation came from.  It is only on

Find out the taylor series for f (x) = ex about x = 0, Find out the Taylor ...

Find out the Taylor Series for f (x) = e x about x = 0. Solution In fact this is one of the easier Taylor Series that we'll be asked to calculate.  To find out the Taylor

Just Mixed Number and Fractions, Brent covered 3 1/5 by a number and got 4 ...

Brent covered 3 1/5 by a number and got 4 1/2 what number dis he divide by? The answer is either 1 9/16, or 32/45. Which one is the answer, and how did you get it?

Tangent, A tangent to a curve at a point is a straight line which tou...

A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the

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