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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...

Answered by Amrit S. • Maths tutor

3711 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...

Answered by Ryan T. • Maths tutor

11505 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 x^{2 ...}

Answered by Flik C. • Maths tutor

3207 Views

Solve( 3x−2)/4 −(2x+5)/3= (1−x )/6

Firstly, take a common denominator for the left hand-side of the equation which would be 12 and then carrying out the subtraction. After carrying out the subtraction you will be left with two fractions - ...

Answered by Wahid R. • Maths tutor

4843 Views

Given X + 3Y = 19 and 2X - Y = 10, find X and Y

This is a simple simultaneous equationFirst we multiply the second equation by 3 to get 6X - 3Y = 30Then we add the first and second equation together to get 6X + X +3Y - 3Y = 30 + 19which we simply to 7X...

Answered by Guillermo V. • Maths tutor

3378 Views