# Christopher Agresta

Calculus teacher | Verified Expert

I specialize in Calculus, holding a degree from Scripps College. With a passion for mathematics and a knack for simplifying complex concepts, I guide students through the intricacies of calculus with clarity and enthusiasm. My approach emphasizes problem-solving skills and fosters a deep understanding of mathematical principles. Let's tackle calculus together and unlock its beauty and power.

## Questions

How do you find the parametric equations of line that passes through the points (1, 3, 2) and ( -4, 3, 0)?

How do you find the derivative of #u=e^(e^x)#?

How do you differentiate #g(x) = (1/(x^3-1))*sqrt(1+e^(x))# using the product rule?

How do you compute the derivative of #y=(sin^-1)x# and x=3/5?

Using the integral test, how do you show whether #n/(n^2+1)# diverges or converges?

Suppose you go to a company that pays 0.03 for the first day, 0.06 for the second day, 0.12 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?

How do you integrate #int sqrt(1-x^2)# by trigonometric substitution?

How shall I proceed in this sum? If #x=sint# and #y=sin2t#, prove that (i) #(1-x^2)(dy/dx)^2=4(1-y^2)# (ii) #(1-x^2)(d^2(y)/dx^2)-xdy/dx+4y=0#

Is there a systematic way to determine an integrating factor #mu(x,y)# of the form #x^n y^m#, given a not-necessarily-exact differential equation?

What is the arclength of #f(x)=(x-3)e^x-xln(x/2)# on #x in [2,3]#?

How do you calculate the derivative for #h(t) = t^3 + 2e^t#?

What is the derivative of #f(t) = (tcos^2t , t^2-cost ) #?

How do you find the equation of the tangent and normal line to the curve #y=x^2+2x+3# at x=1?

How do you find the equation of the tangent line to the graph of #f(x)= (ln x)^2# at x=6?

If #f(x) =tan^2(x/2) # and #g(x) = sqrt(5x-1 #, what is #f'(g(x)) #?

For what values of x, if any, does #f(x) = 1/((x+3)(x+9)) # have vertical asymptotes?

How do you use Newton's method to find the approximate solution to the equation #2x^5+3x=2#?

What is the second derivative of #x/(2+ e^x)#?

What is the derivative of #sin (x/2)#?

How do you differentiate #y^5-xcosy+y^3/x=11#?