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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...

AA
Answered by Arnav A. Maths tutor
2677 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...

DT
Answered by Dan T. Chemistry tutor
7208 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
1803 Views

For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?

A quadratic equation ax2 +bx+c=0 will have only one unique solution if and only if b2-4ac=0. If we apply this to the equation in the question, we get that k2-24=0. If we s...

ER
Answered by Ewan R. Maths tutor
3418 Views

How should i answer an unseen poetry question in an exam? (AQA)

Firstly, it is important to remember the five areas you will be marked on. These are: AO1: articulate informed, personal and creative responses to literary texts, using associated concepts and terminology...

CC
Answered by Corrine C. English tutor
4965 Views

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