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Maths
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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
5741 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
6119 Views

A store is having a sale on sofas. One sofa was originally £400 but is reduced by 60% in the sale. What is the price of the sofa in the sale?

There are several ways to work out percentages. First however we have to determine 60% of 400 before we subtract it. So an easy way to do this is work out 10% of 400, which is 40 as we just divide 400 by ...

LJ
Answered by Luke J. • Maths tutor
3215 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
4296 Views

An isosceles triangle has a base with length x+4 and the other two sides have length x+3. The perimeter of this isosceles triangle is 16cm. Find the area of the triangle.

First, we need to find the value of x. The perimeter of a shape is the sum of the length of all of its sides, so the perimeter of this isosceles is x + 4 + 2(x + 3) = x + 4 + 2x + 6 = 3x +10. We are told ...

DM
Answered by Dominic M. • Maths tutor
4138 Views

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