🧮 Further Maths

Question 1

Math: how do you differentiate a fraction such as:

Answer 1

Question 2

Fmath: what is the normal to a curve at a specific point

Answer 2

It is the line that is at right angles to the tangent of the curve at that point

Question 3

Fmath: rationalise the denominator

Answer 3

Question 4

Fmath: if you encounter a sqrt(x) when differentiation what do you write it as

Answer 4

x^1/2

Question 5

Maths: how do you prove that a number is even

Answer 5

You show that its is a multiple of 2, such as; 2(5n+3)

Question 6

Maths: how do you prove that a number is odd

Answer 6

You show that it is a multiple of 2 + a negative number 2n + 3 (but it should be 1)

Question 7

Maths: what is the difference of squares

Answer 7

It is one square minus another

Question 8

FMaths: what is the difference of 2 squares of a consecutive even and an odd number

Answer 8

(2n+1)^2 - (2n)^2

Question 9

Fmaths: why do you use completing the square in algebraic proof

Answer 9

Squaring it makes it positive, completing the square can show this

Question 10

Fmaths: what is the difference between an equation and an expression

Answer 10

An expression is true for all values and an equation is not

Question 11

Fmath: how do you write k is a multiple of something else in algebraic proofs

Answer 11

k(x+1)

Question 12

Fmath: matrix row by column or column by row

Answer 12

Row by column