Emilia Aguilar
Calculus teacher | Experienced educator in USA
I'm a dedicated calculus educator with a passion for empowering students to excel in mathematics. My journey began at Concordia College, where I delved deep into the intricacies of calculus. Armed with this knowledge, I now guide students through the complexities of calculus, fostering a deeper understanding and appreciation for the subject. With a commitment to personalized instruction and student-centered learning, I strive to make calculus accessible and engaging for learners of all levels. Let's embark on this mathematical journey together, unlocking the boundless potential of calculus.
Questions
How do you use partial fraction decomposition to decompose the fraction to integrate #(z+1)/(z^2(z^2+4))#?
How do you use a power series to approximate # int_0^1xtan^-1xdx #?
What is the integral of #x/(1+x^2)#?
How do you calculate the derivative of #int(2t-1)^3 dt # from #t=x^2# to #t=x^7#?
If limit of #f(x)=4# as #x->c#, what the limit of #(f(x))^3# as #x->c#?
How do you differentiate # f(x) =2xcos x #?
How do you find the equation of a line tangent to the curve at point #t=-1# given the parametric equations #x=t^3+2t# and #y=t^2+t+1#?
How do you find the volume bounded by #y=(x^3)/3#, x=1, and the x-axis revolved about the x=axis?
How do you differentiate #f(x)=(x^2+x)(x^3-1)# using the product rule?
Suppose #T_4(x) = 7-3(x-2)+7(x-2)^2-6(x-2)^2+8(x-2)^4# is the degree 4 Taylor polynomial centered at x=2 for some function f, how do you estimate the value of f'(1.9)?
What is the derivative of #f(t) = (e^(t^2-1)-t, -t^3-4t ) #?
What is the arc length of #f(x) = x^2-ln(x^2) # on #x in [1,3] #?
How do you find the taylor series of #sin (x^2)#?
What is the equation of the line tangent to # f(x)=xcscx # at # x=pi/3 #?
What is #int (4-x ) / (x^3-6x +4 )#?
How do you use the Mean Value Theorem to prove Bernoulli's inequality?
How do you differentiate #f(x)=x/(1+sqrtx)#?
How do you find the exact relative maximum and minimum of the polynomial function of #y=x^2 +x -1#?
How do you differentiate #e^(x/y)#?
How do you evaluate the definite integral #int (6x^2)dx# from [0,7]?