# 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

What is the instantaneous velocity of an object moving in accordance to # f(t)= (ln(t^2),3t-2) # at # t=2 #?

How do you find the derivative of #x+tan(xy)=0#?

What is the antiderivative of #-ln|cscx+cotx|#?

How do I find the derivative of #3e^(-12t) #?

How do you find the relative extrema for #f(x)=(x^4)+(4x^3)-12#?

How do you find the Riemann sum for #f(x) = 4 sin x#, #0 ≤ x ≤ 3pi/2#, with six terms, taking the sample points to be right endpoints?

What are the critical points of #f(x) = -3x^4 + 12x^3 + 6#?

What is the Cartesian form of #(4,(23pi )/12)#?

How would I use the Comparison Test in calculus to solve the integral #(cos(4x) +3) / (3x^3 + 1)# from 1 to infinity?

For what values of x, if any, does #f(x) = 1/((x-5)sin(pi+1/x) # have vertical asymptotes?

How do you integrate #int (1) / (x * ( x^2 - 1 )^2)# using partial fractions?

What is derivative of 1/cosx?

How do you evaluate the definite integral #int (x-2) dx# from [-1,0]?

What is the instantaneous velocity of an object with position at time t equal to # f(t)= ((t-2)^2,5t-3) # at # t=2 #?

How do you find the equation of the tangent line to graph #y=x^(1/x)# at the point #(1, 1)#?

How do you differentiate #F(x)=3/4x^8#?

How do you find the power series representation for the function #f(x)=(1+x)/(1-x)# ?

How do you find the volume of a solid that is enclosed by #y=x^2#, #y=0#, and #x=2# revolved about the x axis?

The curve Y= X^3-3x has a slope 3 at two points. Find the two points?

How do you use Riemann sums to evaluate the area under the curve of #f(x)= 3 - (1/2)x # on the closed interval [2,14], with n=6 rectangles using left endpoints?