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Calculate the integral of (3x+3)/(2x^2+3x) between the limits 39 and 3

The first step is to split the fraction into 2 separate fractions using partial fractions techniques. Write 3x+3/2x^2+3x as A/x + B/2x+3 and solve to get A = 1, B = 1. We have now converted 3x+3/2x^2+3x into...
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Answered by Oliver W. • Maths tutor
3536 Views

Where do the graphs of y=3x-2 and y=x^2+4x-8 meet?

In order to find the points where these functions meet, we can equate them to get 3x-2 = x^2+4x-8 . Subtraction (3x-2) from both sides, we get x^2+x-6 =0 which we can factorise to get (x+3)(x-2)=0 Therefore ...
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Answered by Helen S. • Maths tutor
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How do I use context in an English Literature essay?

For English Literature exams and coursework, some exam boards may include incorporation of context in their marking criteria. This is certainly the case at A Level, and perhaps to a lesser extent at GCSE. Co...
DA
7818 Views

Beschreiben Sie Ihr zukünftiges Traumhaus

Wenn ich an mein zukünftiges Traumhaus denke, denke ich an ein großartiges Haus mit Balkon, Schwimmbad und meinem eigenen Kino! In meinem Haus würde ich mit meiner Familie und meinem Hund wohnen, da ohne ihn...
LD
Answered by Lucia D. • German tutor
6903 Views

Given that z=sin(x)/cos(x), show that dz/dx = sec^2(x).

We have a "fraction" which we wish to differentiate, so we use the quotient rule with u=sin(x) and v=cos(x). This means that d/dx of u/v = (v du/dx - u dv/dx)/(v^2). We have u=sin(x) so du/dx= cos(...
GG
Answered by Gabriela G. • Maths tutor
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