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Maths
A Level

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
3407 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
11178 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
7466 Views

If a circle passes through points (2,0) and (10,0) and it has tangent line along the y-axis, then what are the possible equations of the circle?

Firstly it will help to draw a diagram of our two points along the x-axis, from this we can find out the x co-ordinate of the center of the circle as these points form a chord of the circle. Where in this...

KM
Answered by Kieran M. Maths tutor
3598 Views

Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5

Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 270.5). This gives...

EC
Answered by Ella C. Maths tutor
2847 Views

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