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Use the substitution u=4x-1 to find the exact value of 1/4<int<1/2 ((5-2x)(4x-1)^1/3)dx

We are required to solve this integral using integration by substitution, in which we assign a variable to equal a certain region of the integrated function in this case, 4x-1. The purpose of this is to remo...
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Answered by Taylor R. • Maths tutor
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What is a key constraint to economic growth and development for developing countries? Explain how so.

One crucial constraint to economic growth and development in developing countries may be human capital inadequacy. For example, only 2.3% of India's population is classified as skilled, with only 44% of the ...
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Answered by Ridhi T. • Economics tutor
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Outline the argument from illusion against direct realism

According to direct realism, we perceive objects in the external world directly. This is contrasted with indirect realism, which holds that the immediate objects of perception are mental representations or s...
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Answered by Kane B. • Philosophy tutor
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Translate the following into French: "I do not think she is coming tomorrow"

Je ne pense pas qu'elle vienne demain.
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Answered by Ciaran C. • French tutor
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If given two parametric equations for a curve, how would you work out an equation for the gradient?

Parametric equations will have both the x and the y coordinates expressed in terms of another paramater, usually t . Gradients of curves are expressed in the form of an equation of d y/ d x, in order to work...
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Answered by Mollie W. • Maths tutor
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