Trignometry: sin-3x, sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxco...

sin(2x+x)=sin2x.cosx+cos2x.sinx              =2sinxcosx.cosx+(-2sin^2x)sinx              =2sinxcos^2+sinx-2sin^3x             =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3

Some definitions of exponential e, Some Definitions of e 1. ...

Some Definitions of e 1. 2.   e is the unique +ve number for which 3. The second one is the significant one for us since that limit is exactly the limit

Equations in linear algebra and matrices, Equations in linear algebra and m...

Equations in linear algebra and matrices What is Equations in linear algebra and matrices?

Mathematical laboratory, how to reverse positive digit number using mod fun...

how to reverse positive digit number using mod function

Calculate the area and perimeter of a square, Calculate the area and perime...

Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´.  Be sure to involved units in your answer. Solution:

Area between two curves, Area between Two Curves We'll start with the ...

Area between Two Curves We'll start with the formula for finding the area among y = f(x) and y = g(x) on the interval [a,b].  We will also suppose that f(x) ≥ g(x) on [a,b].

Semi-infinite slab solution in fourier number, Consider the temperature dis...

Consider the temperature distribution in a 1D flat plate, insulated at x = L and exposed to convective heat transfer at x = 0. On the axes below, sketch what the distribution looks

Arithmetic sequences and series,

Spring force, Spring, F s We are going to suppose that Hooke's Law wil...

Spring, F s We are going to suppose that Hooke's Law will govern the force as the spring exerts on the object. This force will all the time be present suitably and is F s

Focal chord of the parabola, show that the circle described on any focal c...

show that the circle described on any focal chord of the parabola touches the directrix