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A particle is moving along a straight line. The displacement of the particle from O at time t seconds is s metres where s = 2t^3 – 12t^2 + 7t. Find an expression for the velocity of the particle at time t seconds.

To find the velocity function of a particle when given its displacement function, you must differentiate the given function. v = 6t^2 - 24t + 7 .Similarly, to get the displacement function from the veloci...

AL
Answered by Andrew L. Maths tutor
5600 Views

Solve the simultaneous equations: x^2 + y^2 = 5 and y = 3x + 1

x2 + y2 = 5 1y = 3x + 1 2Inserting 2 into 1: x2 + (3x +1)2 = 5 Expanding the brackets: x2 + 9x2 + 3x +...

SB
Answered by Sophie B. Maths tutor
5010 Views

Solve ((3x-2)/4) - ((2x+5)/3) = ((1-x)/6)

The important concept here is that in order to add or subtract fractions, they must have a common denominator. The easiest way of finding a common denominator for three or more fractions ...

PD
Answered by Peta D. Maths tutor
3211 Views

Plot the graph, y=2x^2 -7x +4

3 Mehods:Step 1: Does the function factorise. In this case yes it does. giving y=(2x+1)(x-4)Method: Find the factors of the contract in this case (4). Which are (2,2) , (4,1)We know that a quadratic must ...

TW
Answered by Theodore W. Maths tutor
2845 Views

Prove algebraically that (2n + 1) to the power of 2 - (2n-1) is an even number

(2n + 1) 2 - (2n-1)can also be written be as (2n +1)(2n + 1) - (2n-1) Two brackets next to each other indicate that you must multiple them by each other, this is also known as expanding the bra...

OO
Answered by Otiti O. Maths tutor
4642 Views

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