Charles Arocha
Calculus teacher | Experienced educator in USA
User is creating a bio for a tutor named Charles Arocha, who specializes in Calculus and graduated from Murray State University.I'm a graduate from Murray State University with a specialization in Calculus. With a passion for teaching, I strive to make complex concepts understandable and enjoyable. My goal is to empower students to excel in their studies and develop a deep appreciation for mathematics.
Questions
A swimming pool is 25 ft wide, 40 ft long, 3 ft deep at one end and 9 ft deep at the other end. If water is pumped into the pool at the rate of 10 cubic feet/min, how fast is the water level rising when it is 4 ft deep at the deep end?
How do you integrate #(x^3+1)/((x^2-1)^2(x+1))# using partial fractions?
How do you find the derivative of #(arcsin(x))^(2)#?
How do you differentiate # f(x)=e^sqrt(1/x^2)# using the chain rule.?
Using the integral test, how do you show whether #sum 1 / [sqrt(n) * (sqrt(n) + 1)]# diverges or converges from n=1 to infinity?
For what values of x, if any, does #f(x) = 1/((x+3)(x-2)) # have vertical asymptotes?
What is a solution to the differential equation #y'=1/2sin(2x)#?
Find the derivative of this function?
If #f(x)= csc 3 x # and #g(x) = sqrt(2x-3 #, how do you differentiate #f(g(x)) # using the chain rule?
What is the derivative of #e^1#?
What is the equation of the normal line of #f(x)= -2x^3-10x # at #x=2 #?
What is the derivative of #f(x)=e^(4x)*ln(1-x)# ?
How do you use the limit definition of the derivative to find the derivative of #f(x)=3x^2+3x+3#?
What is the arc length of #f(x)=1/x-1/(5-x) # in the interval #[1,5]#?
How do you integrate #int 1/sqrt(x^2-25)# by trigonometric substitution?
What is the derivative of #y = arcsin(y^5)#?
What is the derivative of #e^x(sinx)#?
How do you differentiate #y=cot^2(sintheta)#?
What is the implicit derivative of #1= xysin(xy) #?
How do you integrate #int cosx/sqrt(1-2sinx) #?