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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 a...

JH
Answered by Jake H. Maths tutor
8240 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
6787 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
9817 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
3151 Views

Why is ethylamine a stronger base than phenylamine?

A base is a proton acceptor. 

Amines work as bases due to the electronegativity of the nitrogen atom. The lone pair in the nitrogen atom is filled in a 2p(z) orbital, in phenylamine, the p orbital ...

AM
Answered by Adhib M. Chemistry tutor
10053 Views

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