# Evelyn Agard

Calculus teacher | Tutor for 10 years

I hold a degree in Calculus from Calvin University. My passion lies in unraveling the intricacies of mathematical concepts and sharing my knowledge with students. With a keen eye for detail and years of experience, I specialize in simplifying complex calculus topics. My approachable demeanor fosters an environment where students feel comfortable asking questions and exploring mathematical theories. I am dedicated to helping learners build a strong foundation in calculus and achieve academic success. Let's embark on this mathematical journey together.

## Questions

What is the arclength of #f(x)=x^2e^(1/x)# on #x in [0,1]#?

For what values of x is #f(x)=(x^2−x)e^x# concave or convex?

How do you show the line #y=6x-5# is a tangent to the quadratic equation #f(x)= 5x^2 - 14x + 15#?

What is the derivative of #-x#?

How do you differentiate #g(x) = (x^2+1) (x-3)^3# using the product rule?

How do you integrate #2 / (x^3 + 1)# using partial fractions?

What are the points of inflection, if any, of #f(x) =x^3 - 12x^2 #?

What are the points of inflection, if any, of #f(x)= 9x^3- 5 x^2-2 #?

How do you find the limit of #|x-7|/(x-7) # as x approaches 7?

How do you find the slope of the polar curve #r=cos(2theta)# at #theta=pi/2# ?

If #f(x) = lnx + 2#, what is the tangent to the graph at #x = 1#?

How do you differentiate #f(x)=tan(sqrt(x^2-3)) # using the chain rule?

How do you find the radius of convergence of #sum_(n=0)^oox^n# ?

How do you find the equation of tangent line to the curve #f(x) = x^3# at x = 2?

What is the derivative of # tan^3(x) + tan(x^3) #?

What is the derivative of #y = arcsin(y^5)#?

How do you integrate #int (lnx)^2# by parts?

What is the equation of the line tangent to #f(x)=e^(3x-4)sine^x# at #x=lnpi#?

How do you use the limit comparison test to determine if #Sigma n/(n^2+1)# from #[1,oo)# is convergent or divergent?

How do you find the limit of #sin^2(3t)/t^2# as #t->0#?