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Given f(x)=(x^3-7)*(x+4)^5, find the term x^3 of f(x).

Before starting to solve this problem, student should acknowledge that there are more than a variable, which satisfies the condition x^3. There are two ways to obtain this answer: (1) x^3 in the first mul...

Answered by Amina H. • Maths tutor

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f(x) = (4x + 1)/(x - 2) with x > 2. Find a value for 'x' such that f'(x) (first derivative of f(x) with respect to x) is equal to -1.

Re-write f(x) using indicies, so that the use of the product rule becomes more clear => f(x) = (4x + 1) *(x - 2)^-1 where ^ means 'raised to the power of' and * means 'multiplied by'.

ZS
Answered by Zak S. • Maths tutor
4513 Views

How do you factorise a quadratic with a co-efficient in front of the x^2 - e.g: 3x^2 + 14x + 8

Ok so to factorise a quadratic with a co-efficient in front of the x^2 you need to follow a couple of steps: Step 1 - multiple the co-efficient by the number at the end of the expression - e.g. 3^8 = 24 S...

Answered by Nathaniel K. • Maths tutor

3539 Views

Find the exact solutions for 4 − x^2 = |2x − 1|

x=-1

x=-1+6^0.5

Answered by Shroya V. • Maths tutor

5774 Views

What is Pythagoras' Theory?

Pythagoras' Theory explains that the length of sides in a right angled triangle are related. This means we can use the length of two sides to find that of the third!

The relationship he found is a<...

Answered by Alexander R. • Maths tutor

3858 Views