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Mahek M.
Highly Experienced Tutor and Honors Student at Vanderbilt University
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Writing
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Question:

Mahek M.

These are all college application prompts, and crafting the perfect admissions essay that not only reflects you and your ambitions but also wows an admissions counselor is a science that few have mastered. Lucky for you, I am here to help. I have been an application consultant since going through my own college application cycle, and bring a breadth of knowledge in the realm of creative, unorthodox, and common application essays.

Chemistry
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Question:

Draw a reaction map including all of the reagents that can be used to create the most commonly used compounds in electrophilic addition reactions (ORGANIC CHEMISTRY).

Mahek M.

You'll have to come to me to find the most correct answer to this question, as the web of possible synthetic pathways is as extensive as it is long. Think of anti, syn, and planar reactions, as well as how to cleave a Carbon-Carbon double bond.

Calculus
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Question:

Take the derivative and integral of the following function, and provide in words the relationship between the original equation, the derivative, and the integral in a real-world, applied terms.

Mahek M.

No matter what formula is given, students should be prepared to apply the various rules found in calculus to determine derivatives and integrations. More importantly, understanding the theoretical relationship between these terms is fundamental to answering word problems, especially on AP exams. A derivative is the rate of change, and an integration is the area under the curve. To explain this more deeply, students should use an example such as the relationship between distance, speed, and acceleration. Speed is the derivative of distance because it is the rate of change in distance, and acceleration is the rate of change of velocity and the second derivative of distance. Thus, if one were to integrate an acceleration formula, one would arrive at the velocity. Intuitively, a synonym for integral is antiderivative.

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