I completed my Masterās degree in Mathematics in 2016. I developed my passionfor mathematics as a young child. I have 10+ years of tutoring experience and 10+ years of adjunct lecturing experience in mathematics. Moreover, I have taught many different levels of mathematics, from basic mathematics to advanced mathematics such as linear algebra and differential equations. I enjoy assisting studentsā learning and understanding mathematics remotely or in person, whether they need help approaching a relatively easy problem or are grappling with more challenging concepts.
I come from the lowest of the lowest. My parents separated before I was born, sent me to Mexico with the parents of my father who neglected his responsibilities and duties as a guardian. I ran away to find my maternal parents at the age of 5 and after almost a year of being in the streets i found them, but things were no better than before. I was a goatherd and a farmer in the making. The closest school was literally two hours away through rough terrain. Without abandoning my duties I was allowed to attend school a few hours a day for a few months in the year. This was only the beginning of an arduous journey ahead. In summary, I met my mother at the age of 14; the worst experience of my life. My education was on the brink of being extinguished. Despite it all, I have made it out and now I can help others make it out as well.
Each integral represents the volume of a solid. Describe the solid.
$ \displaystyle \int_{1}^3 2 \pi y \ln y dy $
Use the Ratio Test to determine whether the series is convergent or divergent.$ \displaystyle \sum_{n = 1}^{\infty} \frac {n^{100} 100^n}{n!} $
Let $a_{n}=\left\{\begin{array}{l}{n / 2^{n}} \\ {1 / 2^{n}}\end{array}\right.$ if $n$ is a prime numberotherwise. Does $\sum a_{n}$ converge? Give reasons for your answer.
Find an equation of the tangent plane to the given parametric surface at the specified point.$$x=u+v, \quad y=3 u^{2}, \quad z=u-v ; \quad(2,3,0)$$
$1-12$ Find the area of the surface.The part of the plane $5 x+3 y-z+6=0$ that lies above therectangle $[1,4] \times[2,6]$
$1-12$ Find the area of the surface.The part of the plane $6 x+4 y+2 z=1$ that lies inside thecylinder $x^{2}+y^{2}=25$
A rancher has 600 feet of fence in which to enclose fouridentical adjacent rectangular corrals along a river. If nofence is needed along the river, what are the dimensions of eachenclosed corral so that the entire enclosed area is a maximum?
Use a triple integral to find the volume of the solid in the first octant bounded by the graphs of the cylinder z = 9 - x^2 and the plane y = x.
Find the volume of the solid formed by rotating the regionbounded by the given curves about the indicated axis.y = 1/x, y = 1, y = 5, x = 0; about the y-axis
The density of a spherical solid of radius 2, centered at theorigin, is given by D(Ļ) = 4Ļ grams per cm^3. Calculate the mass ofthe portion of the sphere lying above the plane z =ā3.
Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinders y = 1 - x^2, y = x^2 - 1, and the planes x + y + z = 2, 5x + 4y - z + 18 = 0.
Use a triple integral to find the volume of the solid betweenthe sphere x^2 +y^2 + z^2 = 19 and the hyperboloid z^2-y^2-x^2 = 1for z > 0 in cylindrical coordinates
