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The curve y = 4x^2 + a/ x + 5 has a stationary point. Find the value of the positive constant a given that y-ordinate of the stationary point is 32.

This question might look hard but can be easily answered by breaking it down into steps and remembering a few key things. The first step is to recognise that the question is mentioning a stationary point ...

Answered by Helen B. • Maths tutor

11341 Views

Rearrange y=(3x+5)/x to make x the subject

This question is asking us to make x the subject, so we’re aiming to end up with just x on its own on one side of the equation. Firstly, we need to get rid of the x on the bottom of the right-hand side, s...

Answered by Chloe K. • Maths tutor

6920 Views

Solve to find sin x , 4cos^2 + 7sin x -7 =0

4cos² x + 7 sinx - 7 =0 we know that sin²+ cos² = 1 so 4(1-sin²x) + 7sinx -7 = 0 if we times out the brackets -4sin²x + 7 sinx -3 =0 4sin²

Answered by Jo P. • Maths tutor

3622 Views

Find a and b (both real) when (a+b*i)^2=i.

Every complex number has a real and imaginary part. For the complex number z=a+bi the notation for real and imaginary parts respectively are Re(z)=a and Im(z)=b. If you know thi...

Answered by Urte A. • Maths tutor

1685 Views

Expand and simplify (x+4)(x-3)

We need to multiply out each bracket and it is best to do this systematically, multiplying each term in the left hand bracket by each term in the right hand bracket. (x+4)(x-3) = (X x X) + (X x -3) + (4 x...

Answered by Eleanor M. • Maths tutor

31673 Views