Skip to content

Course home

Sign up

1 Unit 1: Pure Mathematics A

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162
Question 135

The curve C C\,C has equation y=g(x)y = g(x)y=g(x), where g(x)g(x)g(x) is a cubic expression.

It is given that

the coefficient of x3 x^3\,x3 in g(x)g(x)g(x) is 1

C C\,C passes through the origin

C C\,C has a stationary point at (2,−4)(2, -4)(2,−4)

a.

Find g(x)g(x)g(x).

[5]
b.

Prove that the stationary point at (2,−4)(2, -4)(2,−4) is a minimum.

[2]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

Question bank