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Integrate (x+2)/((x+5)(x-7)) using partial fractions between the limits 5 and -2, giving your answer to 3sf

First, we're going to split this 1 fraction into 2 fractions. Let (x+2)/((x+5)(x-7)) = A/(x+5) + B/(x-7) then multiplying by (x+5)(x-7) gives A(x - 7) + B(x + 5) = x + 2 multiplying this out we achieve Ax - ...
Answered by • Maths tutor
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When should you use ‘Imperfetto’ tense and when ‘Passato Prossimo’ one?

‘Imperfetto’ is used to describe actions and situations in the past, to describe something you used to do in the past and for simultaneous actions in the past. On the other hand, ‘Passato Prossimo’ is used t...
Answered by • Italian tutor
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The quadratic equation (k+1)x^2 + (5k-3)x + 3k = 0 has equal roots, find the possible values of the real number k.

Given that the equation is quadratic and has two distinct roots , this implies that the discriminant (b 2 - 4ac) in the quadratic formula is equal to zero. Comparing terms a = (k+1), b = (5k -3) and c = 3k, ...
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Answered by Adam L. • Maths tutor
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Discuss two ways in which a country's international competitiveness could increase (8)

International competitiveness refers to how attractive a products in country are in international markets in terms of quality and price. One way in which Britain could increase its international competitiven...
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Answered by Tom C. • Economics tutor
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Outline Bowlby’s evolutionary theory of Attachment

According to Bowlby, attachment is an innate behavioural system that has evolved because of its survival value. Bowlby posits a ‘sensitive period’ , during which an infant is particularly sensitive to specif...
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Answered by Chloe B. • Psychology tutor
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