# 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

What is the maximum area of a rectangle that can be circumscribed about a given rectangle with length L and width W?

How do you integrate #int x /sqrt( 81 - x^4 )dx# using trigonometric substitution?

What is the limit as x approaches 0 of #(1-cos(x))/sin(x)#?

What is the discontinuity of the function #f(x)=(3x^2+x-4)/(x-1)#?

How do you find the derivative of #xsqrt (1-x)#?

How do you find the area under one period of y=sinx?

What is the derivative of the #sqrt ln x#?

How do you determine whether the function #f(x) = (x^2)/(x^2+1)# is concave up or concave down and its intervals?

Differentiate the function? f(x) = ln(x^6 + 4)

What is the equation of the line normal to #f(x)=-x^2+3x - 1# at #x=-1#?

How do you find the volume of a solid that is enclosed by #y=x+1#, #y=x^3+1#, x=0 and y=0 revolved about the x axis?

How do you evaluate the integral #int x dx# from #-oo# to #oo# if it converges?

What are the critical points of #f(x) = x/(e^(sqrtx)#?

If y = f(x)g(x), then dy/dx = f‘(x)g‘(x). If it is true, explain your answer. If false, provide a counterexample. True or False?

What is the antiderivative of #m(x) = (-2/y^3)#?

How do you find the Maclaurin Series for # (sin(x/11))^2#?

How do you know When to use integration by substitution?

What is the derivative of #(1+4x)^5(3+x-x^2)^8#?

How do you determine whether the function #f^('')(x) = 36x^2-12# is concave up or concave down and its intervals?

What is Lebniz Notation for the second derivative of #y=f(x)# ?