# Scarlett Allison

Calculus teacher | Experienced educator in USA

I am a passionate educator specializing in Calculus, holding a degree from the State University of New York at Fredonia. With a profound understanding of mathematical concepts, I am dedicated to simplifying complex calculus topics for my students. My teaching philosophy revolves around fostering a supportive and engaging learning environment. As your guide in the world of calculus, I am committed to helping you grasp challenging concepts and excel in your academic journey. Let's embark on this mathematical adventure together!

## Questions

How do you use the limit process to find the area of the region between the graph #y=x^2+1# and the x-axis over the interval [0,3]?

How to know when to use integration by substitution vs. integration by parts?

What is the limit of #(x^2 + 1) / (2x^2 -3x -2)# as x goes to infinity?

How do you implicitly differentiate #7=1-e^y/(xy)#?

What is the derivative of #tan^4 (x)#?

What is the limit of #(cos(3x)-cos(4x))/x^2# as x approaches #oo#?

How do you use substitution to integrate #4x( x^2 + 3)^4 dx#?

How do you differentiate #f(x) = ln(sqrt(arcsin(e^(2-x^2)) ) # using the chain rule?

How do you find the derivative of #cos^3(u)#?

How do you find the area of the region bounded by the graph of #f(x)=x^4# and the #x#-axis on the interval #[-2,2]# ?

What is the slope of the polar curve #f(theta) = thetasintheta - cos^3theta + tantheta# at #theta = pi/3#?

How do you find the volume of the solid obtained by rotating the region bounded by the curves #y=x^2# and #y=2-x^2# and #x=0# about the line #x=1#?

What is the polar form of #( -13,14 )#?

What is the interval of convergence of #sum_1^oo xsin((pi*n)/2)/n #?

What is the result of lim x → ∞ (-x-1)/((x-1)(x-Sqrt(x^2+x+1)) ?

How do you find the derivative of #y= ln ((x^2 (x+1))/ (x+2)^3)#?

How to find the equation of the tangent to y=√x−1 at the point where x=t ?

How do you take the derivative of #(tan(8x))^2#?

Evaluate lim(x tends to zero) cosecx-cotx/x?

#a_n = sin(pi n/6)+cos(pi n)# ?