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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

Answered by Pierce C. • Maths tutor

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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...

Answered by Ryan T. • Maths tutor

10210 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

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 ...

Answered by Olukorede S. • Maths tutor

13927 Views

Solve the simultaneous equation: y+4x+1=0 y^2+5x^2+2x=0

Rearrange the first equation to get y on its own: y=-(1+4x) Substitute into the second equation: (1+4x)(1+4x)+5x^2+2x=0 21x^2+10x+1=0 Substite into the quadratic formula to solve (-b+/-(b^...

Answered by George L. • Maths tutor

3690 Views