What are some general tips you have for writing?
Writing is a collaborative process. You're trying to communicate with an audience that has none of your experience. The best tip I ever received for my writing was to read it out loud to yourself (or have your computer read it aloud to you) and have others read it and offer suggestions and edit it off of their suggestions. Our brains use shortcuts, called heuristics in psychology, to save energy. Having others read your work offers an objective perspective that does not have the same heuristics as you. Because of this they can think critically about the points you're trying to make and the composition/syntax of the writing.
Solve and explain this problem: d/dx[ (e^x (cosx))+(5x^2 +3x+172)]
1) d/dx distributes to both terms: d/dx[ (e^x (cosx))]+ d/dx[(5x^2 +3x+172)] 2) Derive from left to right. 3) d/dx[ (e^x (cosx))] is derived using the product rule-> e^x(cosx)-e^x (sin(x)) 4) d/dx[(5x^2 +3x+172)] is derived by the power rule-> 10x+3+0 5)The answer is e^x(cosx)-e^x(sin(x))+10x+3
What steps would you use to solve the equation: 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 ?
Step 1: Distribute the 5, -4, and the -1 with their respective parenthetical terms. (e.g. -1(x-3) becomes -x+3) Step 2: Combine the like terms on each side. Step 3: Combine like terms between the sides. Step 4: You are left with 0=0 which is true, therefore all values for X are true.