MYTUTOR SUBJECT ANSWERS

910 views

The curve C has equation y = x^3 - 2x^2 - x + 9, x > 0. The point P has coordinates (2, 7). Show that P lies on C.

Every point on the curve C satisfies the equation. In order to show P lies on C, we need to test if either x- or y-coordinates satisfy the equation. It is easier to subsitute x=2 into the equation.

By doing so, this gives

y = (2)3 - 2 x (2)2 - (2) + 9 

y = 7

As P's y-coordinate is also 7, therefore, P (2, 7) lies on the curve C.

Minh P. A Level Maths tutor, GCSE Maths tutor

9 months ago

Answered by Minh, an A Level Maths tutor with MyTutor


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

253 SUBJECT SPECIALISTS

£24 /hr

Joe C.

Degree: Mathematics (Masters) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“I'm a third year student at Bristol University studying a Masters Degree in Mathematics. I try to make my tutorials engaging, and tailor them to your individual needs so that we are working towards the grade you aspire to achieve! I'v...”

£22 /hr

Anahita G.

Degree: Maths and Economics (Bachelors) - York University

Subjects offered: Maths, Science+ 3 more

Maths
Science
Economics
Chemistry
.TSA. Oxford.

“I am a maths and economics student at the University of York. I have always loved logical and analytical subjects, for example Maths and the Sciences. I also particularly enjoy economics as there are countless ways to analyse and conc...”

£26 /hr

Matthew D.

Degree: Maths and Philosophy (Masters) - Durham University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“ I will make sure I am familiar with your specific exam board, and questions beyond this can of course be pursued in a tutorial too”

About the author

£20 /hr

Minh P.

Degree: LLB Law with Business Studies (Bachelors) - Birmingham University

Subjects offered: Maths

Maths

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other A Level Maths questions

How do you derive the quadratic formula?

Differentiate y= (2x+1)^3. [The chain rule]

How to solve a quadratic equation?

Find the coordinates of the stationary points of the curve y = 2x^3 + 3x^2 - 12x + 1

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok