Hello! My name is Gerry Hsu. I have a Master's in Health Sciences and a Bachelor's in Biomedical Engineering. I enjoy teaching math to students in middle school, high school, and college/university level. I have prior university teaching coursework in Alternative Licensure program and have been tutoring middle and high school students in Math and Science part-time from 2019-2020. I look forward to working as a STEM Educator and an instructor with Numerade.
In Exercises 45–48, write the matrix in row-echelon form. (Remember that the row-echelon form of a matrix is not unique.)$$\left[\begin{array}{rrrr}{1} & {1} & {0} & {5} \\ {-2} & {-1} & {2} & {-10} \\ {3} & {6} & {7} & {14}\end{array}\right]$$
Graph each function. Insert solid circles or hollow circles where necessary to indicate the true nature of the function.$$M(x)=[|x|]+2 \quad \text { for } 0 \leq x \leq 4$$
Graph each function. Insert solid circles or hollow circles where necessary to indicate the true nature of the function.$$P(x)=\operatorname{int}(x)+x \quad \text { for } 0 \leq x \leq 4$$
A cone has an altitude of 15 centimeters and a radius of 3 centimeters. A right circular cylinder of radius $r$ and height $h$ is inscribed in the cone as shown in the figure. Use similar triangles to write $h$ as a function of $r$ (FIGURE CAN'T COPY)
Water is flowing into a conical drinking cup that has an altitude of 4 inches and a radius of 2 inches, as shown in the figure. (FIGURE CAN'T COPY)a. Write the radius $r$ of the water as a function of its depth $h$b. Write the volume $V$ of the water as a function of its depth $h$
Finance. Use the formula $A=\frac{p i}{1-\frac{1}{(1+i)^{n t}}}$ to calculate theamount your monthly payment will be on a loan of $\$ 150,000$ at an interest rate of $6.5 \%$ for 30 years $(n t=360)$.
