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Find, using integration, the work done in compressing a spring by a distance x.

[integral from 0 to x']dW= [integral from 0 to x'] F(x') dx'

=[integral from 0 to x']kx' dx'

=1/2k

MT
Answered by Matteo T. Physics tutor
4292 Views

Shower-cleaner liquid is sold in spray bottles. The volume of liquid in a bottle may be modelled by a normal distribution with mean 955 ml and a standard deviation of 5 ml. Determine the probability that the volume in a particular bottle is:

a) at most 960 ml

Let X be the volume of liquid in a particular bottle, then we want to find P(X <= 960). We first need to transform from X to Z (to the standard normal distrib...

SS
Answered by Sarah S. Maths tutor
6585 Views

Why are teachers now saying electrons are in orbitals? I thought they moved around shells?

Unfortunately, every year in school you are told that something from the previous year was not completely true, and had in fact been simplified...one of the major examples of this is orbitals. While the e...

FM
Answered by Findlay M. Chemistry tutor
2171 Views

How do i approach a long answer question in order to gain full marks?

My approach is to break down the question. In the case of long answer- questions, examiners want to firstly know that you understand a question before answering.  Let's use the following example:

E...

SC
Answered by Silouanos C. Biology tutor
3604 Views

Use the product rule to differentiate y=2xsinx

The product rule states that y=uv and dy/dx=(u)dv/dx + (v)du/dx. As the equation is in this form we can let u=2x and v=sinx. Therefore du/dx=2 and dv/dx=cosx. Substituting for u and v we get dy/dx=(2x)(co...

GK
Answered by Georgianna K. Maths tutor
15100 Views

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