calculas, Mathematics

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Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

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find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....

Cylinder - three dimensional spaces, Cylinder The below equation is th...

Cylinder The below equation is the common equation of a cylinder. x 2 /a 2 + y 2 /b 2 = 1 This is known as a cylinder whose cross section is an ellipse.  If a = b we

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Example: Suppose your football team has 10 returning athletes and 4 new members. How many ways can the coach choose one old player and one new one? Solution:  There are 10 wa

speed of the truck , A man travels 600km partly by train and partly by tru...

A man travels 600km partly by train and partly by truck. If he  covers 120km by train and the rest by truck, it takes him eight hours. But, if he travels 200km by train and the res

Trig, cot functions

cot functions

Radicals, We'll include this section with the definition of the radical.  I...

We'll include this section with the definition of the radical.  If n is a +ve integer that is greater than one and a is a real number then, Where n is termed as the index,

Find the total volume of the hay stack, The lower portion of a hay stack is...

The lower portion of a hay stack is an inverted cone frustum and the upper part is a cone find the total volume of the hay stack.

Radius of rhim, how long is the radius of car tyre?

how long is the radius of car tyre?

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