Elective Mathematics quick practice

Question 1 of 10

The coefficient of x² in the expansion of (1 + x)⁵ is

Question 2 of 10

Find the gradient of the curve y = 1x² + 4x at x = 1.

Question 3 of 10

Find the gradient of the curve y = x³ − 2x at x = 2.

Question 4 of 10

The coefficient of x³ in (1 + 2x)⁴ is

Question 5 of 10

A particle moves so that s = t³ − 6t² + 9t. Find its velocity and acceleration at t = 2 and when it is momentarily at rest.

Question 6 of 10

If y = 5x⁴, then dy/dx = ___x³

Question 7 of 10

If A = [[1, 2], [3, 4]] and B = [[0, 1], [−1, 2]], find AB and BA and comment.

Question 8 of 10

The gradient of y = 2x² at x = 3 is ___

Question 9 of 10

The chain rule is dy/dx =

Question 10 of 10

A point of inflexion occurs where