## MYTUTOR SUBJECT ANSWERS

814 views

### Find the cartesian equation of a curve?

A curve has parametric equations:

x = 2 + t2                           y = 4t

Find the cartesian equation of this curve.

A cartesian equation of a curve is simply finding the single equation of this curve in a standard form where xs and ys are the only variables.

To find this equation, you need to solve the parametric equations simultaneously:

If y = 4t, then divide both sides by 4 to find (1/4)y = t.

This newly found value of t can be substituted into the equation for x:

x = 2 + (1/4(y))2 - expand the bracket (square both 1/4 and y) to derive x = 2 + 1/16 y2

Technically, this final equation is already in cartesian form as it only includes variables x and y, however to further rearrange the equation to find the standard 'y =' form:

x = 2 + 1/16 y2 (minus 2 from both sides)

x - 2 = 1/16 y2 (multiply each side by 16)

16x - 32 = y2    (and finally take square roots of both sides)

y = SQRT(16x-32)

2 years ago

Answered by James, an A Level Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 354 SUBJECT SPECIALISTS

£20 /hr

Degree: Maths and Economics (Bachelors) - Leeds University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Maths and Economics Student from Uni of Leeds. Very friendly with previous experience of working with and teaching younger people.”

MyTutor guarantee

|  3 completed tutorials

£20 /hr

Degree: Natural Sciences (Bachelors) - Durham University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Japanese
Chemistry
Biology

“Chemistry and Physics student at Durham university, here to motivate and support you in developing a solid understanding of your subject. ”

£20 /hr

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Maths, Geography+ 1 more

Maths
Geography
Further Mathematics

“Hi! I'm Nick and I hope to help you to fulfil your potential through engaging and enjoyable tutorials!”

MyTutor guarantee

#### About the author

Currently unavailable: for regular students

Degree: Economics (Bachelors) - Nottingham University

Subjects offered:Maths

Maths

“Hi there everyone! My name is James and I'm a tutor for A-Level Maths. I have loved maths ever since I was young, but realise how daunting it can be for some, and would love to try to transfer some of my own methods and reasonings to ...”

MyTutor guarantee

### You may also like...

#### Posts by James

Find the cartesian equation of a curve?

Find the coordinates of the minimum point of the curve y = 3x^(2) + 9x + 10

#### Other A Level Maths questions

Given that y=ln([2x-1/2x=1]^1/2) , show that dy/dx= (1/2x-1)-(1/2x+1)

Solve 4cos(2x )+ 2sin(2x) = 1 given -90° < x < 90°. Write 4cos(2x )+ 2sin(2x) in the form Rcos(2x - a), where R and a are constants.

How do you multiply matrices together?

what is implicit differentiation and how is it achieved?

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this.