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Maths
A Level

Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]

32x + 7

BH
Answered by Bodrul H. Maths tutor
3231 Views

Express (16x^2 + 4x^3)/(x^3 + 2x^2 - 8x) + 12x/(x-2) as one fraction in its simplest form.

Answer: 16x/(x - 2)

Start with the numerator of the first fraction, 16x2 + 4x3 , take a factor of 4x2 out to get 4x2(4 + x). Then look at the denominator...

MS
Answered by Manon S. Maths tutor
3431 Views

Is there an easy way to remember all the basic graphical transformations?

Well yes! Say you're given an equation of y=f(x), you begin by sketching the graph if plotting it is not part of the question, the reason you do this is to get an idea of what the graph looks like (turnin...

DM
Answered by Dimuthu M. Maths tutor
3355 Views

How do we integrate x^2?

(x^3)/3  + C

MK
Answered by Mueen K. Maths tutor
3645 Views

Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi

5sin(x)-3cos(x)=2

Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@

Rcos@ =5

Rsin@ = 3    

tan@ = 3/5           @=tan-1(3/5)= 0.540

R = sqrt(52 <...

SM
Answered by Stefan M. Maths tutor
4367 Views

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