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 derivative of #y=sin(1+tan(2x))#?
What is the arclength of the polar curve #f(theta) = thetasin(3theta)-sec^2theta # over #theta in [0,pi/8] #?
How do you find the derivative of #1/x^2#?
How do you find the antiderivative of #int sin^5(3x)cos(3x)dx#?
How do you integrate #int (3x^2 - 1) /( ((x^2)+2) (x-3))# using partial fractions?
How do you find the general solution to #y'=sqrtx/e^y#?
How do you find the limit of # (e^x-1)^(1/lnx)# as x approaches 0?
How do you integrate #((x)sqrt(x-1))dx#?
What is the general solution of the differential equation # y'' +4y =0#?
How do you differentiate #f(x) = e^(e^x)#?
What is the surface area of the solid created by revolving #f(x) = 1/(x+e^x) , x in [3,4]# around the x axis?
What is the derivative of #(x+1)^x#?
What is the derivative of #5(sqrt(x))#?
What is the integral of #int 1/(x^2+1)dx#?
The value of the summation is =?
How do you find the volume of solid formed by rotating the region bounded by the graphs: #y=sqrt(x)+5#; y=5; x=1; and x=0; around y=2?
How do you integrate #int (2x-sinx) / (x^2 + cosx)#?
How do you determine at which the graph of the function #y=1/x^2# has a horizontal tangent line?
How do you differentiate #f(x)=(xsin2x)/(x^2cos^2x-tanx)# using the quotient rule?
Show that #sum_(n=1)^oo 1/n# is divergent using the integral criterion ?