2023 Paper 2 (15/01/2025)

Question 1

Concave?

Answer 1

Concave when the second derivative is less than 0

Question 2

Sequence Periodic with order?

Answer 2

This means the sum of the terms of the order can be multiplied to find the sum of larger sums easier. This is because the multiple of the desired order multiplied by the sum of these terms add the remainder gives the value of the larger sum of values.

Question 3

Reasoning to reject negative log?

Answer 3

The highlighted negative log is not possible and is not real as its undefined

Question 4

Reasoning for parallel vectors?

Answer 4

Say Vector 1 equals Vector 2 multiplied by the difference between vector 1 over vectors 2 and as this is the case the two vectors are parallel

Question 5

Minimum X and Y of a modulus function?

Answer 5

The minimum “x” value is the opposite to the value inside the modulus. The minimum “y” value is the value outside the modulus.

Question 6

Property of obtuse angles?

Answer 6

sinx - cosx > 0 for obtuse angles
sinx > 0 for obtuse angles
cosx < 0 for obtuse angles