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Integrate sin7xcos3x

Let A=7x and B=3x( From the formulae we know that sinxcosx= 1/2(sin(A+B)+sin(A-B))So if we replace A=7x and B=3x in this equation: 1/2(sin(7x+3x)+sin(7x-3x))= = 1/2 (sin(10x)+sin(4x))Now we just integrate...

FP
Answered by Frances P. Maths tutor
5744 Views

Given that y= 1/ (6x-3)^0.5 find the value of dy/dx at (2;1/3)

Let u=6x-3 , then y=u^-0.5hence, du/dx=6 and dy/du= -0.5u^-3/2then, as dy/dx =dy/du * du/dx dy/dx=(-0.5u^-3/2 )*6= -3(6x-3)^-3/2substitute x=2 to give the required value required value : -1/9

PN
Answered by Polina N. Maths tutor
3975 Views

What are the most effective ways in studying for an unseen extract (Paper 1)

The first thing you would want to do is memorise definitions of essential literary terms (e.g.: metaphors, allegory, etc.) and make sure you are confident with those techniques specific to poetry and pros...

GP
2259 Views

Write about an artist who used the theory of colors in his work. And so some experiments in media based on his ideas.

Write a few paragraphs about an artist such as Josef Alberse. Describe one of his color theories. Use Acrilics and/or colour pencils to reproduce some of his colour experiments. Finally combine all the w...

PN
Answered by Polina N. Art tutor
1726 Views

How do I write a good introduction to my essay in an exam?

There isn't one way to write a great introduction, so be flexible and allow your response to the specific question you've been asked inform how you go about introducing your argument. Whatever your approa...

AH
4358 Views

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