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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
8468 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
7516 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
3301 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
10578 Views

'Charles I's intransigence was the ultimate cause of the regicide'. Assess the validity of this view.

To answer this question, it is important to consider three different points of view - that which agrees, that which disagrees and that which offers an alternative perspective. It would be ideal to offer a...

MD
Answered by Miriam D. History tutor
4004 Views

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