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Hard
May 16th
Questions
What is the Laplace transform of the function f(t) = e^(-3t)?
What is the derivative of the function f(x) = ln(x^2 + 1)?
What is the Taylor series expansion of e^x centered at x = 0 up to the third degree term?
What is the value of the integral of sin^2(x) with respect to x?
What is the radius of convergence for the power series Σ (x^n)/n! ?
What is the solution of the differential equation dy/dx = ky, where k is a constant?
What is the second derivative of the function f(x) = e^(2x)?
What is the derivative of the function f(x) = arccos(x)?
What is the value of the definite integral of 1/(x^2 + 1) from 0 to 1?
What is the Maclaurin series for the cosine function up to the fourth degree term?
Medium
December 14th
Questions
What is the derivative of the function x^3 with respect to x?
What is the value of the integral of 2x from 0 to 3?
Which calculus concept is used to find the slope of a tangent line to a curve at a given point?
What does the Fundamental Theorem of Calculus connect?
What is the second derivative of the function f(x) = x^4?
Hard
October 31st
Questions
Who is credited with the development of calculus?
What is the derivative of e^x?
What is the integral of x^2?
What is the limit of (sin(x))/x as x approaches 0?
What is the derivative of ln(x)?
What is the integral of 1/(x+1) with respect to x?
What is the derivative of cos(x)?
What is the integral of e^(-x^2)?
What is the limit of (1-cos(x))/x as x approaches 0?
