- Provided private instruction to individuals or small groups of students to improve academic performance or prepare for academic exams in courses such as Calculus, Differential Equations, as well as Standardized exams such as the SAT and ACT.
- Prepare lesson plans and learning modules for tutoring sessions according to students' needs and goals. -Develop teaching and training materials in accordance with the professor's curriculums
The base of the solid is the disk $x^{2}+y^{2} \leq 1 .$ The cross-sections by planes perpendicular to the $y$ -axis between $y=-1$ and $y=1$ are isosceles right triangles with one leg in the disk.
Find the domains of $f, g, f+g,$ and $f \cdot g .$$$f(x)=x, \quad g(x)=\sqrt{x-1}$$
Find the domains of $f, g, f / g,$ and $g / f.$$$f(x)=2, \quad g(x)=x^{2}+1$$
If $f(x)=x+5$ and $g(x)=x^{2}-3,$ find the following.a. $f(g(0))$b. $g(f(0))$c. $f(g(x))$d. $g(f(x))$e. $f(f(-5))$f. $g(g(2))$g. $f(f(x))$h. $g(g(x))$
Write a formula for $f \circ g \circ h.$$$f(x)=x+1, \quad g(x)=3 x, \quad h(x)=4-x$$
Write a formula for $f \circ g \circ h.$$$f(x)=\sqrt{x+1}, \quad g(x)=\frac{1}{x+4}, \quad h(x)=\frac{1}{x}$$
