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It is given that f(x)=(x^2 +9x)/((x-1)(x^2 +9)). (i) Express f(x) in partial fractions. (ii) Hence find the integral of f(x) with respect to x.

(i) Let f(x) = A/(x-1) + B/(x2+9). Multiplying through by (x-1)(x2+9) we get x2+9x = A(x2+9) + B(x-1). By substituting x=1 in to eliminate B, we find that A=1 ,...

Answered by Amy C. Further Mathematics tutor
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What is artificial life?

Artificial life, also known as synthetic life, is life that is created from scratch. In order for it to be considered life, it should have a membrane which is capable of self-assembly and able ...

Answered by Biology tutor
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Derive X^2 + 2x

2x + 2

Answered by Sam K. Maths tutor
2140 Views

expand and simplify 2(c+5)+5(c-7)

Firstly, it is best to expand the brackets to get:2c+10+5c-35 (be mindful of the signs inside and outside the bracket because you might get a double minus sign that results in a +, however that is not the...

Answered by Mansi V. Maths tutor
2888 Views

How do I know when a verb takes essere or avere when forming the passato prossimo?

This can be a bit tricky! When forming the passato prossimo, we need an auxiliary verb (a helper verb - avere or essere) and then a past participle. Now, which auxiliary verb we use depends on whether the...

Answered by Frankie F. Italian tutor
1658 Views

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