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
How do you find the x values at which #f(x)=abs(x+2)/(x+2)# is not continuous, which of the discontinuities are removable?
How do you integrate #int cosx*e^-x# by integration by parts method?
How do you prove that the limit #x^(1/2) = 4# as x approaches 16 using the formal definition of a limit?
How do you find the values of c that satisfy the mean value theorem for integrals?
Given the function #f(x)=x/(x+6)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [0,1] and find the c?
How do you implicitly differentiate #ln(x-y)=x-y #?
How do you find #int x*sec^2x#?
How do you differentiate #y=2^(3^(x^2))#?
What is the integral of #int [4sec(x)]/[cos(x)] dx#?
What is the equation of the line normal to # f(x)=-sqrt((x+1)(x+3)# at #x=0#?
What is the derivative graph of a parabola?
What is the arc length of #f(x) = sinx # on #x in [pi/12,(5pi)/12] #?
How do you differentiate #f(x)=ln((2x+5)^5)^2 # using the chain rule?
How do you use the limit definition of the derivative to find the derivative of #f(x)=x^3#?
What is #lim_(xrarroo) sin(x)/x #?
How do you integrate #x/(x+1)^3#?
How do you differentiate #y=1/(sinx+cosx)#?
How do you integrate #int (3x-2x^2)/((x+9)(x+2)(x-5)) # using partial fractions?
What is the antiderivative of # (ln x)^2/x^2#?
How do you evaluate #[ (ln x) / (csc x) ]# as x approaches 0+?