Tutor profile: Ayden A.
What kind of writing error(s) is/are seen in the following sentence, and how can we improve the level of writing seen in the same? “As I focused attentively and paid close attention to my economics professor’s highly detailed, intricate, and complex speech, I realized that her area of expertise was not only limited to microeconomics but extended to game theory as well.”
The major problem in this sentence is that of redundancy: The student has needlessly adopted an unnecessarily verbose manner of stating something quite simple. This sentence has two kinds of redundancies: pleonasms and rhetorical tautologies. The latter refers to an excess usage of redundant words, and the former involves using multiple synonymous words to say the exact same thing. We can rewrite this sentence concisely as follows: “As I focused on my economics professor’s intricate speech, I realized that her area of expertise was not limited to microeconomics but extended to game theory as well.” Removing redundancies has not only made the sentence easier to read, but also improves the flow of the student’s writing by removing excess words that add no meaning to the sentence.
Define what economic opportunity cost is and how it can arise in a day-to-day situation.
In economics, the opportunity cost of a resource (or even a course of action) is the value of the “next best” alternative to that resource or action. It is important to note that “value” is defined relative to marginal benefit - the utility or satisfaction derived from the consumption of a good or service. Opportunity cost can best be explained with the help of an example. Say that a student has an exam the next day, and she spends two hours and $10 to go to the movie theater and watch a movie. The opportunity cost she incurs is not only the $10 she spends to watch the film – it is also the two hours she could have spent studying instead of watching the movie. Hence, basic economic concepts such as opportunity cost are applicable in countless day-to-day situations, and can even help optimize one’s lifestyle and choices for maximum efficiency.
Solve for the inverse of the following functions: f(x)= (3x+2)/(x-1)
y=(3x+2)/(x-1) Switch all x’s and y’s x=(3y+2)/(y-1) multiply both sides by (y-1) x(y-1)=3y+2 distribute the x on the right hand side. xy-x=3y+2 subtract 3y from both sides and add x on both sides. xy-3y=2+x Take y common on the right hand side. y(x-3)=2+x divide both sides by (x-3) y=(2+x)/(x-3) f^-1(x)=(2+x)/(x-3) [inverse of the function]
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