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Differentiate with respect to x: i) y=x^3ln(2x) ii) y=(x+sin(2x))^3

i) There first step is to acknowledge the need for both product rule (d(uv)/dx=v.du/dx+u.dv/dx) and chain rule (dz/dx=dz/dy*dy/dx). Here, u=x^3 and v=ln(2x). Therefore, du/dx=3x^2 which is a standard diff...

EM
Answered by Edward M. Maths tutor
9251 Views

An aeroplane lands on the runway with a velocity of 50 m/s and decelerates at 10 m/s^2 to a velocity of 20 m/s. Calculate the distance travelled on the runway.

Firstly, we note that the acceleration is constant, therefore this problem should be tackled with the SUVAT equations. Let's write down the information we have: s  we are asked to find this u = 50 m/s v =...

PF
Answered by Paolo F. Physics tutor
8926 Views

How do I approach an unseen question in an exam situation?

Being presented with an unseen text in a timed exam can seem intimidating, but actually this question is an opportunity to boost your marks. This is the only situation when everyone takin...

RG
Answered by Ruby G. English tutor
7923 Views

Describe in detail three key features of the Baroque era.

  1. Continuo - an accompaniying part of the baroque ochestra that provides the bass line. This is played by either a keyborad instrument (harpsichord/ organ), or a low string instrument (cello/ double b...
KC
Answered by Kathy C. Music tutor
5647 Views

What are some conservative arguments in favour of tradition?

Tradition can be defined as Values, practices or institutions that have endured through time and, in particular, been passed down from one generation to the next. Conservatives are seen to support this fo...

TZ
5871 Views

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