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Find out equation is a function, Example: Find out which of the following ...

Example: Find out which of the following equations functions are & which are not functions.                            y= 5x + 1 Solution The "working" definition of fu

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Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the

Integration of sin ³a.cos ³a , writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.co...

writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6

Trig identities, What is the exact vale of sin(theta/2) when sintheta=3/5, ...

What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2

Equation of the plane x + 4y 3z = 1, Find the equation of the plane thro...

Find the equation of the plane through (2, 1, 0) and parallel to x + 4y   3z = 1.

Example of line - common polar coordinate graphs, Example of line - Common ...

Example of line - Common Polar Coordinate Graphs Example:  Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to

Pigeonhole principle, By pigeonhole principle, show that if any five number...

By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9.    Answer: Let make four groups of two numbers from 1 to 8 like

Cross product - vector, Cross Product In this last section we will loo...

Cross Product In this last section we will look at the cross product of two vectors.  We must note that the cross product needs both of the vectors to be three dimensional (3D

matlab, how to solve simplex method using matlab

how to solve simplex method using matlab?

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