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Michelle K.
New York University Student, IGCSE and IB Graduate
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Calculus
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Question:

Determine the absolute extrema of the given function on the specified interval. f(x) = 8x^3 + 81x^2 -42x - 8 on [-8,2]

Michelle K.

f'(x) = 24x^2 +162x -42 = 0 = 6(4x-1)(x+7) = 0 x = -7, 1/4 Identify absolute extrema by evaluating these points and the given interval points in the original function.

English as a Second Language
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Question:

Write an article for the school magazine in which you describe the different types of work students can do during the holidays. Describe at least two jobs and mention the advantages and disadvantages of both.

Michelle K.

Extract: As a waitress, you have the potential to earn high wages, however, you will have to work longer or more inconvenient hours. Furthermore, it is a physically and emotionally demanding job.

Economics
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Question:

Discuss the implications of imposing an indirect tax on unhealthy food

Michelle K.

Unhealthy food is a demerit good which leads to negative externalities of consumption. List affects of tax on consumers (increased costs) , producers (decreased demand) and government (increased revenue). Define indirect tax (a tax that is paid to the government by one entity in the supply chain, but it is passed on to the consumer as part of the price of a good or service.) Use a graph to support these assertions.

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