# Aurora Alvarado

Calculus teacher | Tutor for 9 years

I am a passionate educator specializing in Calculus. With a degree from Drew University, I bring a deep understanding of mathematical concepts to my teaching. My goal is to make complex topics accessible and engaging for students, fostering a love for learning and problem-solving. I believe in creating a supportive and inclusive learning environment where students feel empowered to ask questions and explore new ideas. Whether it's derivatives or integrals, I'm here to guide students through the world of Calculus with patience and enthusiasm. Let's embark on this mathematical journey together!

## Questions

What is the distance between the following polar coordinates?: # (2,(pi)/8), (7,(3pi)/8) #

How do you find the maximum value of # Y= -2(x+5)²-8#?

How do you find #int -cosx/arcsinx dx#?

How do you find the derivative of #(e^(2x))/(4^x)#?

How do you find the average rate of change of #f(x)=2x^2+2# from -3 to 0?

How do you find the arc length of the curve #y=lncosx# over the interval [0, pi/3]?

What is the derivative of #sqrt(5x)#?

How do you test the series #Sigma (3n^2+1)/(2n^4-1)# from n is #[1,oo)# for convergence?

What is the derivative of #ln(x^2+1)^(1/2)#?

What is the area bounded by the the inside of polar curve #1+cos theta# and outside the polar curve #r(1+cos theta)=1#?

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

How do you implicitly differentiate #x^2/16 + y^2/36 = 1#?

How do you use the Product Rule to find the derivative of # y = 1/(1-x^2)#?

What are the local extrema of #f(x)= xlnx-xe^x#?

Given x(t)=3sin(t) - 3, y(t)=t-1 for 0 is less than or equal to t is less than or equal to 2pi How do you find the position of the particle at t=3?

What is the difference between a jump and a removable discontinuity?

What is the integral of #cos^2(2x)dx#?

How do you differentiate #f(x)=7x^3-x^2+x# using the sum rule?

If #f(x) = -x^2 -2x# and #g(x) = e^(x)#, what is #f'(g(x)) #?

How do you find the instantaneous rate of change at a point on a graph?