I have been teaching math for the past 3 years and before that tutoring for the past 10 years. I love helping students with math and help them figure out how to solve math problems.
$15-36$ Find the limit.$$ \lim _{x \rightarrow \infty} \frac{1}{2 x+3} $$
$15-36$ Find the limit.$$ \lim _{x \rightarrow \infty} \frac{3 x+5}{x-4} $$
$15-36$ Find the limil.$$ \lim _{x \rightarrow-\infty} \frac{1-x-x^{7}}{2 x^{2}-7} $$
15-36 Find the limit.$$ \lim _{y \rightarrow \infty} \frac{2-3 y^{2}}{5 y^{2}+4 y} $$
15-36 Find the limit.$$ \lim _{x \rightarrow \infty} \frac{x^{3}+5 x}{2 x^{3}-x^{2}+4} $$
Write the equation of a sine function that has the givencharacteristics.Amplitude: 2Period: 3pi Phase Shift: - pi / 3
Approximate the logarithm using the properties of logarithms, given log base b of 2 is approximately 0.3562, log base b of 3 is approximately 0.5646, and log base b of 5 is approximately 0.8271. (Round your answer to four decimal places.) Find log base b of (2b^2).
Consider the following function. (If an answer does not exist, enter DNE.)
f(x) = 1 + 7/x - 3/x^2
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)x =
Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)y =
(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)Find the interval where the function is decreasing. (Enter your answer using interval notation.)
(c) Find the local maximum and minimum values.local maximum value local minimum value
(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)Find the interval where the function is concave down. (Enter your answer using interval notation.)Find the inflection point.(x, y) =
Some dimes and quarters are together worth $8.95. Which of thefollowing might be the number of dimes in this mixture?
Sketch the graph of f by hand and use your sketch tofind the absolute and local maximum and minimum values off. (Use the graphs and transformations of Sections 1.2 and1.3. Enter your answers as a comma-separated list. If an answerdoes not exist, enter DNE.)f(x) = 5x2, 0 < x ≤ 5absolute maximum value absolute minimum valuelocal maximum value(s)local minimum value(s)
Joyce removes the pennies from her purse. Now her bag contains12 nickels 26 dimes and 14 quarters. She draws three coins from thepurse one at a time without replacement. Draw a tree diagramthat represents Joyce's actions and label the probabilities on thebranches.
