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A curve has equation y = f(x) and passes through the point (4, 22). Given that f'(x) = 3x^2 - 3x^(1/2) - 7, use integration to find f(x), giving each term in its simplest form

As we are given the derivative of f(x), we first need to integrate this derivative to obtain the function, f(x). Using the standard integration formula, ∫ x^n dx = (1/n+1)(x^(n+1)) +c, integrate each term in...
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Answered by Alex C. • Maths tutor
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How do I use an imperative?

Imperatives are used to give orders, express encouragement or give advice. They are formed from the present tenses forms of verbs of the second person singular (tu), second person plural (vous) and the first...
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Answered by Amelia D. • French tutor
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Explain Descartes' divisibility argument for substance dualism.

As a substance dualist, Descartes defends the theory that there exist two ontologically distinct substances; the mental substance and the physical substance. His divisibility argument is as follows:i. the mi...
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Answered by Amelia D. • Philosophy tutor
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Simplify fully: (24 - √ 300)/(4√ 3 - 5). Give your answer in the form a√ b where a and b are integers and find the values of a and b.

rationalise the denominator (remove the surds) by multiplying by a fraction = 1, known as the rationalising factor = (24 - √ 300)/(4√ 3 - 5) * (4√ 3 + 5)/(4√ 3 + 5) = (24 - √ 300)(4√ 3 + 5)/(48 - 25) = (24 -...
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Answered by Aloysius L. • Maths tutor
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History IA: Part B; To what extent was the Catholic Church the cause of the loss of support for, and rise in opposition to, Juan Perón leading to his downfall in 1955?

IntroductionPerón’s downfall can be attributed to two key factors: the loss of support from his working class – descamisados – power-base throughout his second term [1951-1955] and the rise of opposition amo...
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Answered by Aloysius L. • History tutor
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