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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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write 36 as a product of its prime factors

a prime number is a number which is only divisible by itself and one e.g 2, 3 , 5, 7when writing a number (in this example 36) as a "product of its prime factors" you need to find the prime numbers...
BA
Answered by Bilal a. • 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
2019 Views

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, ...
AL
Answered by Adam L. • Maths tutor
5359 Views

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...
TC
Answered by Tom C. • Economics tutor
3203 Views