Catherine's Calculus 2

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Across
  1. 3. Maximize the volume of a box with h=10, sides A and B, and AB=900. What is the length of A?
  2. 6. In a positive series, each term is ____ than the last.
  3. 8. A Maclaurin series is a Taylor series ____ ____ ___. (Write without spaces)
  4. 10. An equation is separable if it includes the ______ of two variables.
  5. 11. In the arc length formula for functions, f'(x) is _______.
Down
  1. 1. The improper integral of dx/x on (-inf,-1] converges or diverges?
  2. 2. The error bound for the trapezoidal method is ≤ K(b-a)^3/__N^2
  3. 4. Given 18/(x-3)(x+3)^2, how many fractions would result from its partial fraction decomposition?
  4. 5. When using the shell method, the shells' heights are _______ to the axis of integration.
  5. 7. Apply fraction decomposition upon 18/(x-3)(x+3)^2. What is the numerator of the fraction with denominator (x+3)^2?
  6. 9. F(x) is continuous on [a,b] and differentiable on (a,b). If f(a= f(b), then there exists a number c between a and b such that f'(c)=0. Which theorem is this?