Samantha Adkison
Calculus teacher | Verified Expert
I hold a degree in Calculus from Lamar University, where my passion for unraveling the intricacies of mathematics took root. As an avid learner and educator, I find joy in simplifying complex concepts for students. My goal is to foster a deep understanding of calculus, making it an accessible and enjoyable subject. Let's embark on a journey of mathematical discovery together, where challenges become opportunities to grow.
Questions
How do you find the integral of #int (1 + cos x)^2 dx#?
Let #y = f(x)# be a twice-differentiable function such that #f(1) = 2# and . What is the value of #(d^2y)/(dx^2)# at # x = 1#?
How do you integrate #int (3x + 2) / [(x - 1)(x + 4)] # using partial fractions?
Differentiate the following from first principles: (a) #y=10x# (b) #y=6-5x+x^2#?
What is #f(x) = int x+3xsqrt(x^2+1) dx# if #f(2) = 7 #?
How do you integrate #(5/sqrt x) dx#?
What is the limit of #(cos(3x)-cos(4x))/x^2# as x approaches #oo#?
How do you use substitution to integrate #4x( x^2 + 3)^4 dx#?
How do you integrate #int 3/((1 + x)(1 - 2x))# using partial fractions?
A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is #pi/4# rad?
What is the equation of the line tangent to the graph of #f(x)= x^4 + 2x^2# at the point where f ' (x)= 1?
How do you use the ratio test to test the convergence of the series #sum_(n=1)^oo (n!)/((2n+1)!)#?
How do you solve the series (7 - 9 + (81/7) - (729/49) + ... )?
How do you integrate #int x^3 ln x^2 dx # using integration by parts?
Find the limit? lim x#rarr# #oo# #(10x^5+x^4+31)/(x^6)#
What is the result of lim x → ∞ (-x-1)/((x-1)(x-Sqrt(x^2+x+1)) ?
How do you find the radius of convergence #Sigma x^(3n)/5^n# from #n=[1,oo)#?
How do you use the Fundamental Theorem of Calculus to find the derivative of #int xsin(πx) # from 1 to x^2?
How do you find the derivative of #f(x)=(x^2) + (3 ln x)#?
How do use the first derivative test to determine the local extrema #F(x) = -2x^3 - 9x^2 + 24x + 40#?