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Integrate f(x): f(x) = (3x +2) / (x^2 - 5x +6)

Split into partial fractions: (3x +2) / (x 2 - 5x +6) = A / (x-3) + B / (x-2) => 3x + 2 = A(x-2) + B(x-3) let x = 2: 8 = -B => B = -8 let x = 3: 11 = A => A = 11 Now we can integrate f(x) = 11 / (x-...
OH
Answered by Oliver H. • Maths tutor
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How do I carry out close analysis of a text?

Close analysis can be a difficult task but it is this difficulty that makes it equally rewarding. It allows the reader to zoom into sections of the text and reveal, through analysis, how the chosen writer ha...
TD
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In Of Mice and Men, how does Steinbeck make the way Crooks is treated so disturbing?

Steinbeck makes the way Crooks is treated so disturbing through showing his interaction with Lennie and his desire to join Lennie and George's venture on their own farm in the future. Crooks initially refuse...
SQ
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Find dy/dx of y=e^xcosx

Use product rule i.e. (uv)'=u'v+uv'Set u=e^x and differentiate to find u'=e^x Set v=cosx and differentiate to find v'=-sinxTherefore (uv)' where uv=e^xcosx =e^xcosx + e^x(-sinx)=e^xcosx - e^xsinx=e^x(cosx -s...
HB
Answered by Henry B. • Maths tutor
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Evaluate the contribution of functionalist sociologists to our understanding of the role of the education system in society.

Functionalist sociologists see the education system as a vital social institution in modern society. They argue that the education system exists to perform a range of essential functions for individuals, for...
AS
Answered by Anjali S. • Sociology tutor
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