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How do you rearrange formula?

First of all we need to identify what it is we're trying to get onto one side of the equation. In this example;y = 2x - 5 we are asked to arrange the formula in terms of x. To do this we need to first get...

MT
Answered by Mallory T. Maths tutor
3176 Views

g(x) = x/(x+3) + 3(2x+1)/(x^2 +x - 6) a)Show that g(x) =(x+1)/(x-2), x>3 b)Find the range of g c)Find the exact value of a for which g(a)=g^(-1)(a).

a) First, we need to factorize (x2+x-6) = (x-2)(x+3). Therefore, g(x) = x/(x+3) + 3(2x+1)/(x-2)(x+3) = x(x-2)/(x-2)(x+3) + 3(2x+1)/(x-2)(x+3) = (x2-2x + 6x +3)/(x-2)(x+3) = (x2<...

TM
Answered by Teodora M. Maths tutor
15374 Views

Find the integral of ((2(7x^(2)-xe^(-2x))-5)/x) . Given that y=27 at x=1, solve the differential equation dy/dx=((2(7x^(2)-xe^(-2x))-5)/-3x).y^(2/3) in terms of y.

Part A)Expand numerator in the integral to get 14x^(2) - 2xe^(-2x)-5Now divide by denominator to get 14x - 2e^(-2x) - 5/xNow integrate to get 7x^(2) + e^(-2x) - 5ln(x)Part B)Get all components of y on the...

GR
Answered by George R. Maths tutor
4027 Views

x + y = 11, and x^2 + y^2 = 61, Work out values of y in the form of x

This is a simultaneous equation question, and it is important to read the question and pick out the information we want, and see what we are trying to get to, then work out a pathway on how we will get to...

VV
Answered by Venkat V. Maths tutor
4090 Views

What do I include in a Medicine Personal statement?

It is hard to write a personal statement, it's not something that's hardwired into our system since we were little, then suddenly you are here trying to apply for jobs, sixth form, and university, which a...

VV
1836 Views

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