Hello, I have 9 years teaching experience. I studied Masters Degree in Math from 2008-2010. I scored 71% of marks in my M.Sc course. I also worked as online tutor.
Analyzing a Critical Number A differentiable function $f$ has one critical number at $x=5 .$ Identify the relative extrema of $f$ at the critical number when $f^{\prime}(4)=-2.5$ and$f^{\prime}(6)=3$
Simplify the following expressions by writing each one using a single trigonometric function.$$9 \sec ^{2} \theta-9$$
Simplify the following expressions by writing each one using a single trigonometric function.$$a^{2}+a^{2} \sinh ^{2} \theta$$
Use the technique of completing the square to express each trinomial as the square of a binomial.$$4 x^{2}-4 x+1$$
Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable.$$\int \frac{d x}{\sqrt{x^{2}-a^{2}}}$$
Integrate using the method of trigonometric substitution. Express the final answer in terms of the variable.$$\int \frac{d x}{\sqrt{1+9 x^{2}}}$$
