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Factorise and solve x^2-8x+15=0

(x-5)(x-3)=0

x-5=0 x-3=0

x=5 x=3

PL
Answered by Peter L. Maths tutor
2772 Views

Find dy/dx for y=x^2 * sin(x)

To answer this question we observe that y is the product of x^2 and sin(x), so we use the product rule. Then dy/dx = 2x * sin(x) + cos(x) * x^2 The resulting equation can be tidied up by factoring out x a...

JH
Answered by Jake H. Maths tutor
8066 Views

Find the integral of x^2e^x

To solve this integral you should use the integration by parts formula, which is uv - integral of vu'. First let x^2 be u, therefore u'(the differential of x^2) = 2x, v' = e^x and therefore v (integral of...

JG
Answered by Jade G. Maths tutor
6190 Views

How do I expand double brackets?

Use the moon method.

E.g. (x+1)(x+2) 

  1. multiply x with x

  2. multiply x with 2

  3. mutiply 1 with x

  4. multiply 1 with 2

<...
SH
Answered by Sulayman H. Maths tutor
9577 Views

A body of mass 2kg is travelling in a straight line along the x-axis. It collides with a second body of mass 3kg which is moving at -2m/s. The two bodies move off together at 3m/s. What is the initial velocity of the first body?

2u-32=53=15, 2u=15+6. Therefore, u=10.5m/s. This is a standard type of question, it is simply about conservation of momentum. Momentum (p) is equal to massvelocity. Initially, the first body ...

CL
Answered by Caroline L. Physics tutor
3005 Views

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