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Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

The limit, The Limit : In the earlier section we looked at some problems ...

The Limit : In the earlier section we looked at some problems & in both problems we had a function (slope in the tangent problem case & average rate of change in the rate of chan

Permatuation and combination problem, How may six digit numbers can be made...

How may six digit numbers can be made in which the sum of the digits is even? Ans = 9*10*10*10*10*5

Example of multiplication, Example 1: Multiply 432 by 8. Solution: ...

Example 1: Multiply 432 by 8. Solution:        432 ×        8 --------------       3,456 In multiplying the multiplier in the units column to the multiplica

Harmonic mean-arthmetic geometric progression, Harmonic mean It is a m...

Harmonic mean It is a measure of central tendency which is utilized to determine the average increase rates for natural economies. This is defined like the reciprocal of the a

What is the measure of its width if its length is 3 inches, The perimeter o...

The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width? Let x = the width of the rectangle. Let x + 3 = th

Full asymptotic expansion , Consider the integral where the notatio...

Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri

Integration, how to find area under a curve?

how to find area under a curve?

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