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Work out the equation of the normal to the curve y = x^3 + 2x^2 - 5 at the point where x = -2. [5 marks]

Firstly, we need to differentiate the function of the curve y = x^3 + 2x^2 - 5. Using d/dx (x^n) = nx^(n - 1), we get dy/dx = 3x^2 + 4x. To find the gradient of this curve, we then need to evaluate dy/dx ...

AG
Answered by Amy G. Maths tutor
4087 Views

Let f(x) = x^2 - 1. A vertical translation of 3 and a horizontal translation of -2 is applied. Write the new function g(x) in the form g(x) = ax^2 + bx + c

Let f(x) = x2- 1To apply a vertical translation, simply add the value to the overall equation. In this case it is p...

JH
Answered by Jack H. Maths tutor
2666 Views

What is 800 million in standard form?

Standard form is a way of writing really big numbers in what is often a more compact manner. It also makes a really large number more readable. To put a number in standard form we write it by having a num...

JF
Answered by Joel F. Maths tutor
42737 Views

Find the derivative y= x^2-6x+20?

The derivative is calculated by multiplying by the degree of the variable then taking taking away 1 from the degree.So to calculate the derivative of x^2 we multiple the variable (which is x) by the degre...

DD
Answered by David D. Maths tutor
3510 Views

How do you solve simultaneous equations?

To solve simultaneous equations you need to cancel out variables like x and y one at a time to solve for the other. In the edexcel GCSE 2017 paper this question came up: solve simultaneously x2...

LN
Answered by Libby N. Maths tutor
2862 Views

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