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Maths
A Level

Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x

This term cannot be integrated in the form that it is in. We will have to do some algebraic manipulation to rewrite it. The term can be split into partial fractions because the denominator of the term has...

LP
Answered by Lata P. • Maths tutor
3171 Views

Find the stationary point of the curve y = -2x^2 + 4x.

Firstly, since we have a negative coefficient of x^2, we know we are looking for a maximum point. It is also always helpful to draw a sketch so you know what's going on. Whiteboard sketch. Now to...

LJ
Answered by Luke J. • Maths tutor
5645 Views

The Curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx.

The question is asking us to differentiate the equation y = 3x^4 - 8x^3 - 3. To differentiate this equation, we must differentiate term-by-term. In order to differentiate a term, we must multiply the coef...

DC
Answered by Dharmik C. • Maths tutor
6006 Views

Proof by Induction - "What's the point if we already know the answer?"

I'll try to use carefully chosen examples to explain the advantages/disadvantages of induction as a method of proof. My answer will go roughly as follows:
Advantages: Sometimes the only

RH
Answered by Ruben H. • Maths tutor
4203 Views

Differentiate y = 15x^3 + 24x^2 + 6 with respect to x.

To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x2 differentiated is 2 x 4x2-1 = ...

DM
Answered by Dominic M. • Maths tutor
3588 Views

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