I am a 19-year-old student from New Jersey who is attending Bates College in Maine. I run Cross Country and Track & Field for them and I am pursuing a degree in Economics with a minor in Mathematics. I have always been interested in and math-related subjects and have always enjoyed imparting my knowledge of it to others. Outside of my education, I have been living at home amidst the global pandemic and for that reason, I am looking for an online job. I have the ability to teach those who are struggling to learn during these adverse times. I would like to be able to alleviate that stress that current students are dealing with similarly to how I struggled during the end of my online semester.
Finding and Analyzing Derivatives Using Technology In Exercises $49-54,$ (a) use a computer algebra system to differentiate the function, (b) sketch the graphs of $f$ and $f^{\prime}$ on the same set of coordinate axes over the given interval, (c) find the critical numbers of $f$ in the open interval, and (d) find the interval(s) on which $f^{\prime}$ is positive and the interval(s) on which $f^{\prime}$ is negative. Compare the behavior of $f$ and the sign of $f^{\prime}$$f(x)=2 x \sqrt{9-x^{2}}, \quad[-3,3]$
Use the linear system below.$$\begin{array}{l}{-x+y=-2} \\{2 x+y=10}\end{array}$$Check the coordinates algebraically by substituting them into each equation of the original linear system.
Check whether the ordered pair is a solution of the system of linear equations.$$\begin{array}{l}{3 x-2 y=11} \\{-x+6 y=7}\end{array}$$$$(5,2)$$
Check whether the ordered pair is a solution of the system of linear equations.$$\begin{array}{c}{6 x-3 y=-15} \\{2 x+y=-3}\end{array} \quad(-2,1)$$
Check whether the ordered pair is a solution of the system of linear equations.$$\begin{array}{c}{x+3 y=15} \\{4 x+y=6}\end{array} \quad(3,-6)$$
Check whether the ordered pair is a solution of the system of linear equations.$$\begin{array}{c}{-5x+y=19} \\{ x-7y=3}\end{array} \quad(-4,-1)$$
