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Solve the simultaneous equation: 3x+y =-4 and 3x-4y=6

The first step would be to rearrange the first equation to make y the subject:
3x+y=-4 ----> y=-4-3x
Next we want to substitute this value of y into the second equation
3x-4y=6 ----->...

SP
Answered by Samuel P. Maths tutor
8858 Views

f(x)=(2x+1)^0.5 for x >-0.5. Find f(12) and f'(12)

f(12)=((212)+1)^0.5=25^0.5=5 (simply substitute 12 into the original function)To find f'(12) we need to first find the derivative of the function and then we can substitute 12 in like we did before.f'...

DR
Answered by Daniel R. Maths tutor
1221 Views

Given that f(x)= (3+x^2)(x^1/2-7x). Find f'(x) (5marks)

Because there are two functions that are enclosed in brackets, you should realise that you need to differentiate by parts. You can expand out and differentiate through, but because of the x^1/2 it can get...

AS
Answered by Amrit S. Maths tutor
3317 Views

What is the smallest possible value of the integral ∫(x-a)^2 dx between 0 and 1 as a varies?

This is a minimisation problem, but it's slightly tricky to see what it is we're minimising. Seeing as it's a that's varying, we are going to have to differentiate with respect to a at some point. We're g...

RT
Answered by Ryan T. Maths tutor
10574 Views

What is the centre and radius of the circle x^2+y^2-6x+4y=-4

First make left =0x2+y2-6x+4y+4=0Second put same terms together(x2-6x)+(y2+4y)+4=0Complete the Square (do a square (X+b)2 that gives you you x2 ...

FC
Answered by Flik C. Maths tutor
2826 Views

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