Isabella C.

UC Davis STEM Undergraduate

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Writing

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Question:

I am writing a paper in my English class about applying for a job and would like some help proofreading. ... You have to know how to spell well in order to get a job. It is critical that employers see you as competent and intelligent too. In a perfect world, your resume and cover letter wouldn't have any mistakes in grammar or spelling. ...

Isabella C.

Answer:

I would try to avoid the use of the word you unless your teacher specified that it is ok. Try reworking your sentences to remove the need for 'you'. Your first sentence could be rewritten as the simple statement: 'Spelling is important in order to get a job.' You can always change 'you' to 'one' where it appears in your paper, just make sure to change the verb tenses to match. However, I suggest only replacing 'you' with 'one' when completely necessary and trying your best to rework the sentences first. Your second sentence is a bit awkward. It ends with a proposition which is grammatically incorrect, and you also used the wrong form of the word 'to'. Too is the spelling which means as well. You could streamline your second sentence by simply saying 'competent and intelligent' and ending the sentence there. In your last sentence, you begin with the clunky phrase 'In a perfect world'. When possible try to get your point across as clearly and concisely as possible. This can be accomplished by replacing long explanations or phrases with fewer words that convey the same message and even by simply rearranging some of the words in the original sentence. In this case 'in a perfect world' could be replaced with 'ideally' and the same idea would be conveyed. As a minor example, you could also streamline by rearranging 'mistakes in grammar or spelling' to say 'grammar or spelling mistakes' eliminating the 'is'. I also suggest avoiding the use of contractions. Instead of 'wouldn't' write out 'would not'.

Calculus

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Question:

How do I find the second derivative of the equation y=3x^3 + 4x^2 - 5x + 7?

Isabella C.

Answer:

The simplest way to find the derivative of an equation is to remember that the derivative of a simple polynomial equation follows this rule: f(x) = ax^y, then f'(x) = ayx^y-1. Written out this means that the derivative is equal to the variable's exponent times the variable's constant and the variable's new exponent is one less than it was before. Also, remember that the derivative of a constant (not attached to a variable) is zero. So, to solve for the derivative of the first term 3x^3, you multiply the constant 3, by the exponent 3, to get 9 and then subtract 1 from the exponent 3 to get 2. This results in 9x^2. You then repeat the same process for the remaining terms. When you put them together, keep the signs between the terms the same. The first derivative should be f'(x)=9x^2 + 8x - 5 + 0 or 9x^2 + 8x - 5. In order to solve for the second derivative, you follow the same process of multiplying constants and exponents and subtracting one from the exponent, just with the new, first derivative equation. Here, the result should be f''(x) = 18x + 8 - 0 or 18x +8.

Algebra

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Question:

How do I solve for x in the equation: 2x + 3 = 13

Isabella C.

Answer:

When solving an equation for x, the goal is to isolate x on one side of the equation, keeping in mind that whatever you do to one side of the equation, you must also do to the other side. In order to isolate the x, you want to begin by getting rid of any numbers on the x side of the equation that is not attached to a variable (x). In this case, you would start with three. In order to eliminate the three, you have to reverse its operation, meaning if it is added on the x side of the equation, you have to subtract it from both sides of the equation. So, you get 3-3=0 on the x side, and 13-3=10 on the other side. The new equation reads 2x=10. Now, in order to get the x by itself and solve the equation, you have to reverse the operation of the 2. Here, x is being multiplied by 2, so to isolate x, you have to divide both sides of the equation by 2. Now you have your answer x=5.

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