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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
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Answered by Peter L. • Maths tutor
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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 and ...
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Answered by Jake H. • Maths tutor
9013 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 e^...
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Answered by Jade G. • Maths tutor
9425 Views

How do I expand double brackets?

Use the moon method. E.g. (x+1)(x+2) multiply x with x multiply x with 2 mutiply 1 with x multiply 1 with 2 If you draw this out it will look like a moon shape. now put the like terms together
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Answered by Sulayman H. • Maths tutor
10733 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-3 2=5 3=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 mass velocity. Initially, the first body has momentum ...
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Answered by Caroline L. • Physics tutor
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