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Maths
A Level

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statem...

TD
Answered by Thomas D. Maths tutor
6085 Views

Solve the simultaneous equations: (1) y – 2x – 4 = 0 , (2) 4x^2 + y^2 + 20x = 0

Rearrange (1): y=2x+4

Subsitute this into (2): 4x2+(2x+4)2+20x=0

Simplify and collect like terms: 8x2+36x+16=0

Factorise: (2x+1)(x+4)=0

Therefo...

AT
Answered by Anastasia T. Maths tutor
3675 Views

A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O

S = 14.7, U = 19.6, V =,  A = -g, T = t

using s = ut + 1/2 at^2
14.7 = 19.6t + 1/2 -g t^2
1/2 g t^2 - 19.6t + 14.7 = 0

t = (19.6 +- sqrroot(-19.6- 4 * 0.5 * 9.8 * 14...

HB
Answered by Hamish B. Maths tutor
4324 Views

Integrate 3x*2 using limits of 3 and 2

(See whiteboard for step by step process) First, we write down the function we want to integrate (3x2), and include the limits at the top and bottom of our integration sign to show that it's a definit...

CW
Answered by Charlie W. Maths tutor
4630 Views

differentiate (1+2x^2)^(1/2)

This differentiation requires use of the chain rule. The first step is to differentiate the whole thing, treating the bracket as u, so u=1+2x2. Therefore we are differentiating u1/2....

RS
Answered by Reuben S. Maths tutor
9801 Views

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