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Work out the equation of the tangent at x = 3, knowing that f(x) =x^2

Currently, we know that:f(x) = x2To find the equation of the tangent you need the gradient and the y-value of the graph at x = 3So, you can differentiate f(x):f'(x) = 2xlet x = 3: f(x) = 9 f'(x...

Answered by Arnav A. Maths tutor
2416 Views

What is the order of decreasing acidity for the molecules phenol, ethanoic acid and ethanol? Why?

Ethanoic acid is the most acidic of the three. This is because once ethanoic acid has lost a proton the negative charge can be spread over two oxygen atoms via two resonance forms. Oxygen atoms are electr...

Answered by Dan T. Chemistry tutor
6538 Views

Name the four blood vessels that carry blood in and out of the heart and state whether they carry oxygenated or de-oxygenated blood.

The Vena Cava carries de-oxygenated blood from the body to the right-side of the heart. The Pulmonary Artery then carries de-oxyge...

Answered by Jakub F. Physical Education tutor
1660 Views

A railway car of mass m1 travelling at a velocity of v1 collides with a second car of mass m2 travelling at v2 and the two join together. What is their final velocity?

Momentum is conserved in any collision, and for a single body is given by p = mv. The momentum before is m1v1+m2v2, and the momentum after is (m1 + m2)u where u is the final velocity, so the ...

Answered by Physics tutor
1600 Views

How do you rearrange x = (2y+1)/(3y+4) to get y in terms of x?

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left...

Answered by Ewan R. Maths tutor
3596 Views

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