Exponential and geometric model, Exponential and Geometric Model Expo...

Exponential and Geometric Model Exponential model  y = ab x Take log of both sides log y = log a + log b x log y = log a + xlog b Assume log y = Y and log a

Polya’s first and second principle:-mathematical problem, Mathematical Prob...

Mathematical Problem Solving In 1945, mathematician George Polya (1887-1985) published a book titled How To Solve It in which he demonstrated his approach to solving problems.

The shortest distance among the line y-x=1 and curve x=y^2, Any point on pa...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

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What is angle pairs, What is Angle Pairs? Two angles are adjacent angle...

What is Angle Pairs? Two angles are adjacent angles if they have the same vertex and share one side. Vertical angles are a pair of nonadjacent angles formed by two intersecting

Real analysis, Let {An} be sequence of real numbers. Define a set S by: S={...

Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai

NUMERABILITY, AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROC...

AFIGURE THIS OUT(3) (14) (17) (20) (25)= 8 WHAT ARE THE PROCEDURES (-)(+)(x)(div) BETWEEN EACH NUMBER TO COME UP WITH 8 ?

Properties of relations in a set, Reflexive Relations: R is a reflexive...

Reflexive Relations: R is a reflexive relation if (a, a) € R,  a € A. It could be noticed if there is at least one member a € A like (a, a) € R, then R is not reflexive. Sy

Find the common difference of an ap, Find the common difference of an AP wh...

Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans:    a = 100 APQ a 1 + a 2 + ....... a 6

Complex roots - second order differential equations, We will be looking at ...

We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those