Advanced Calculus

Are you good at math? Do people shove you into lockers? Then you may be able to pass this test. If you can pass this test with 100%, you are of a very small percentage of the general population and will probably make lots of money in the future.

This test in no way really proves that you are proficent in Advanced Calculus, but if you are, it will be slightly amusing to take easy derivatives and integrate simple functions.

Created by: William Thompson

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  1. What is the limit as x approaches 0 of the function Sin(x)/x
  2. Find the indefinite integral for the funtion 3cos(3x)dx
  3. Find the derivative of 2^x.
  4. Integrate the vector valued function (sin(x)i+cos(x)j-k).
  5. Which of the following is true about a Geometric Series?
  6. Which two men are know to have independently invented calculus?
  7. Which of the following would give a value of zero if differentiated?
  8. X^2 + y^2 + z^2 = r^2 is an equation for which of the following?
  9. The position function of some object is r(t)= 4t^3i + e^tj + sin(t)k, find its acceleration.
  10. If p > 1 in a P-series, the series will diverge.
  11. When velocity is constant, acceleration is what?
  12. a(x1-x)+b(y1-y)+c(z1+z)=0 is the equation of what?
  13. Which of the following is a way to find volume by integration?
  14. The Dot Product of two vectors give which of the following?
  15. Which of the following is not something a derivative can give?

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