Across
- 3. when a series adds to a specific number it is ______
- 6. If the limit as n approaches infinity of |an|^1/n <1, absolutely convergent
- 12. If f(a)/g(b) = 0/0 or ∞/∞, then the limit as x approaches g of f(x)/g(x) = the limt as x approaches a of f’(x)/g’(x)
- 13. dy/dx goes (+,0,-) or (+,DNE,-) or d^2y/dx^2 < 0
- 15. if the function is continuous on [a,b], for all K between f(a) and f(b), there exists at least one number x=c in the open interval (a,b) such that f(c) = K
- 17. Method for deriving division
- 19. If given that dy/dx = f(x, y) and the solution passes through (x0, y0) the new x = old x + delta x
- 20. Method in which for y’=x+y and y(0)=1, we can estimate y(1)
- 21. the center of mass of an object is called the _____
- 23. f' is smaller than 0
- 27. A list of added numbers
- 31. when a series doesn’t add to a specific number it is ________
- 33. If the function is continuous on [a,b], then there exists an absolute max and min on that interval
- 36. the greek letter ρ
- 38. integral of velocity
- 39. the force applied by water on a surface at a certain depth.
- 40. f' = 0 or DNE AND concavity changes
- 44. a system of equations with 2 or more dependent variables
- 46. Point discovered by evaluating critical numbers and endpoints but is a maximum
- 47. if the limit as n approaches infinity of |an+1/an| <1, absolutely convergent
- 48. V = π
- 49. f(x) = f(c) + f’(c)(x-c) + f”(c)/2! (x-c)^2 + …
- 50. If the function is continuous on [a,b], and differential on the interval (a,b), then there is at least one number x = c in (a,b) such that f’(c) = f(b) - f(a) / b-a
- 51. derivative of (position)
Down
- 1. method for deriving multiplication
- 2. If the signs change every other in a series (ex. 1-.5+.25-.125) its an ______ series
- 4. xn+1 = xn –f(xn)/f’(xn)
- 5. any list of numbers in a special order
- 7. derivative of sinx
- 8. dy/dx goes (-,0,+) or (+,DNE,+) or d^2y/dx^2 > 0
- 9. integral of udv = uv – integral of vdu
- 10. series represented by the sum from 1 to infinity of 1/n^p
- 11. Approximation using Left, Right, and Middle Riemann Sums with area = bh
- 14. V = π
- 16. xlnx-x+C
- 18. Approximation using riemann sums area = ½ (b1 + b2 )h
- 22. f’ is greater than 0
- 24. method for a function in a function
- 25. derivative of secx
- 26. f" is less than 0
- 28. derivative of (velocity)
- 29. f" is greater than 0
- 30. series that cannot be expressed, sum from n=0 to infinity of CnX^n
- 32. the integral of 1/x dx on 1 to ∞ is an example of a _______ integral
- 34. Point discovered by evaluating critical numbers and endpoints but is a minimum
- 35. Trig Identity where sin2x= 2sinxcosx and cos2x=cos^2x-sin^2x=1-2sinx
- 37. A quantity having direction and magnitude
- 41. ______ of convergence, a specific set of numbers that a series is convergent on.
- 42. Curve where the derivative equals 0 or undefined
- 43. S=a1/1-r if |r|<1
- 45. If the function is continuous on [a,b], and differential on the interval (a,b), and f(a) = f(b), then there is at least one number x = c in (a,b) such that f’(c) = 0