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Maths
A Level

How many solutions are there to the equation sin x = a, if 0<a<1 and 0<x<pi

Draw the sine graph on a whiteboard. Infer graphically by drawing the line y = a. As 0

VN
Answered by Vedanth N. • Maths tutor
3847 Views

Simplify the following C4 question into it's simplest form: (x^4-4x^3+9x^2-17x+12)/(x^3-4x^2+4x)

x + 3x-1 + 2(x-2)-1 - 1(x-2)-2

PC
Answered by Pierce C. • Maths tutor
4156 Views

What is the sum of the infinite geometric series 1 + 1/3 + 1/9 +1/27 ...?

An infinite geometric series is of the form a*(1 + b + b^2 + b^3 ...)

To find the sum of all the terms in this series we consider the sum, S, where:

S= 1 + b + b^2 + b^3 ... + b^n

whe...

RT
Answered by Ryan T. • Maths tutor
10212 Views

Using partial fractions find the integral of (15-17x)/((2+x) (1-3x)^2 )

First seperate the function into the form A/(2+x)  +   B/(1-3x)   +   C/(1-3x)2 . Find A B and C by equating the intergral to {A(1-3x)2 +B(1-3x)(2+x) +C(2+x)}/(2+x)(1-3x)2 

SB
Answered by Sean B. • Maths tutor
5045 Views

how do you differentiate tan(x)

The differential of tan(x) is sec2(x), however knowing how dy/dx tan(x)=sec2(x) is very useful in differentiating other trigonometric functions. So, if we first employ the rule that ...

OS
Answered by Olukorede S. • Maths tutor
13930 Views

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