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Maths
A Level

How was the quadratic formula obtained.

We want a solution to ax^2+bx+c=0. Complete the square to get a[(x+b/2a)^2 -(b^2)/(4a^2)]+c=0. Expalding brackets and rearanging gets a(x+b/2a)^2=(b^2)/4a -c. Divide by a to get (x+b/2a)^2= b^2/4a^2 -c/a=...

Answered by Jon H. Maths tutor
3069 Views

A particle P moves with acceleration (-3i + 12j) m/s^2. Initially the velocity of P is 4i m/s. (a) Find the velocity of P at time t seconds. (b) Find the speed of P when t = 0.5

Solution:

  1. V = V(0) + a*t

  2. From the question: a = (-3i + 12j);

    Answered by Artur R. Maths tutor
    5868 Views

How do you differentiate a function?

The differential of a function is defined by the expression: dy/dx = Lim(dx->0) of (f(x+dx)-f(x))/dx. For functions only involving powers of x, the differentioal can easily be calculated by timesing by...

Answered by Max H. Maths tutor
2903 Views

Line AB, with equation: 3x + 2y - 1 = 0, intersects line CD, with equation 4x - 6y -10 = 0. Find the point, P, where the two lines intersect.

Let eqn. 1 be: 3x + 2y - 1 = 0  & Let eqn. 2 be: 4x - 6y -10 = 0

Multiply eqn. 1 by a factor of 3, and add the two eqautions together. (This eliminates y from the equation)

This gives: 9...

Answered by Kris S. Maths tutor
3331 Views

A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates of the points where this line intersects the axes

M=3

y1=1

x1=2

y-y1=m(x=x1)

y-1=3(x-2)

y-1=3(x-2)

y-1=3x-6

y=3x-6

at the x axis, y=0. 

‘Sub in to find the x co-rdinate:

0=3x-5

...

Answered by Anna C. Maths tutor
7238 Views

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