# Evelyn Agard

Calculus teacher | Tutor for 10 years

I hold a degree in Calculus from Calvin University. My passion lies in unraveling the intricacies of mathematical concepts and sharing my knowledge with students. With a keen eye for detail and years of experience, I specialize in simplifying complex calculus topics. My approachable demeanor fosters an environment where students feel comfortable asking questions and exploring mathematical theories. I am dedicated to helping learners build a strong foundation in calculus and achieve academic success. Let's embark on this mathematical journey together.

## Questions

How do you find the integral of #int sin^n(x)cos^m(x)# if m and n is an integer?

How do you find and classify all the critical points and then use the second derivative to check your results given #h(t)=-4.9t^2+39.2t+2#?

What is the derivative of #5/x^3#?

How do you integrate #int(3x^2+x+4)/(x^4+3x^2+2) dx# using partial fractions?

How do you integrate #x(x²+1)³ dx #?

How do you find the derivative of #y=1/(1+e^x)#?

How do you integrate #int sqrt(e^(8x)-9)# using trig substitutions?

What is the polar form of #( -1,-2 )#?

What is the largest interval on which the function is concave down for #f(x) = 5sin(x) + (sin(x))^2# over the interval #[-pi/3, 2pi/3]#?

How do you find #(d^2y)/(dx^2)# for #5x+3y^2=1#?

Is #f(x)=sinx-cos(pi-x)# increasing or decreasing at #x=pi/3#?

A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost?

How do you differentiate #f(x) = x*e^(x^2)*sin(x^2)# using the product rule?

How do you find the discontinuity of a function?

How do you find an equation of the tangent line to the curve at the given point #y = 4 cos x# and #x=pi/6#?

What is #f(x) = int 3x^2-4 dx# if #f(2) = 2 #?

What is the derivative of : #y= e^(1-x)#?

How do you find the Maclaurin series for #1/(2-3x)^2#?

What is the rate of change of the width (in ft/sec) when the height is 10 feet, if the height is decreasing at that moment at the rate of 1 ft/sec.A rectangle has both a changing height and a changing width, but the height and width change so that the area of the rectangle is always 60 square feet?

How do you integrate #int cosx*e^-x# by integration by parts method?