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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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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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I already done this.

I already done this.
ID
Answered by Ihar D. • Maths tutor
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How do I find the equation of a line that's perpendicular to another one?

Remember that the equation of a line is y=mx+c and m is the gradient of the line. The gradient of a perpendicular line will be the negative reciprocal of m ( that just means it will be -1/m). You can then us...
VP
Answered by Verity P. • Maths tutor
3772 Views

Prove that sqrt(2) is irrational

First, let's assume that sqrt(2) is rational . That is, it can be expressed in the form a/b, where a and b are integers and the fraction is simplified as far as possible. So we have sqrt(2) = a/b --> 2 = ...
MW
Answered by Mark W. • Maths tutor
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