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Find the equation of the normal to the curve at the point (1, -1 ): 10yx^2 + 6x - 2y + 3 = x^3

Firstly, an expression for dy/dx needs to be found to allow us to find the gradient of the normal. As a normal is a straight line, the equation y-y 1 =m(x-x 1 ) can be used to find its equation. We are given...
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Answered by Tutor125302 D. • Maths tutor
5486 Views

How to solve a simultaneous equation?

In simultaneous equations, at this level, you are often given two equations both containing an x and a y. For example:Equation1: y + 2x = 3Equation2: 4y + 2x = 8.The first step in approaching this is to try ...
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Answered by Sophie B. • Maths tutor
4209 Views

Express x^2-4x+9 in the form (x-p)^2+q where p and q are integers

The first step would be to expand the second equation:(x-p)^2+qx^2-px-px+p^2+q this simplifies to x^2-2px+p^2+q After this you examine the two equations and identify their similarities such as the x^2 term a...
MN
Answered by Mark N. • Maths tutor
15610 Views

What is the perfect tense and how do I form it?

When you want to say 'I have done something' in Spanish, the perfect tense is used. It is formed using the correct conjugation of the verb 'haber' (known as the auxiliary verb ), plus the past participle . H...
MB
Answered by Mary B. • Spanish tutor
2683 Views

Given that y = 2^x, express 4^x in terms of y.

4^x = (2*2)^x =2^x * 2^x = y^2
BM
Answered by Benjamin M. • Maths tutor
14668 Views