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Differentiate 4(x^3) + 3x + 2 with respect to x

Solution: 12x+ 3

Working:

General differentiation formular:  d/dx (ax) = an(xn-1

So we multiply the coefficient (constant infront) of the x term...

TD
Answered by Tutor77028 D. Maths tutor
3440 Views

Find the acute angle between the two lines... l1: r = (4, 28, 4) + λ(-1, -5, 1), l2: r = (5, 3, 1) + μ(3, 0, -4)

To do this, we will only consider the direction vectors of each line. That is to say, the vector 'attached' to our λ and μ terms (which are called scalar parameters).We will do this because the angle betw...

RB
Answered by Rory B. Maths tutor
11319 Views

How should I divide up my time during the exam?

Use the number of marks as a guide - if the paper is worth 80 marks and you're given 1.5 hours, I'd allocate 1 minute per mark which would give you 10 minutes (or more if you're quick) to check over your ...

RR
Answered by Ruth R. Maths tutor
4088 Views

The point P has coordinates (3,4). The Point Q has the coordinates (a,b). A line perpendicular to PQ is given by the equation 3x+2y=7. Find an expression for b in terms of a.

As we appreciate the rule 1: gradient of line PQ multiplied by the gradient of the line perpendicular to it equals -1. Formula: m x mn=-1We use this to find the gradient of line PQ:Firstly, we find the gr...

RT
Answered by Richard T. Maths tutor
6046 Views

Let p(x) =30x^3 - 7x^2 -7x + 2. Prove that (2x+1) is a factor of p(x).

We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

HK
Answered by Henry K. Maths tutor
7587 Views

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