Across
- 2. This extrema exists when f'(x) changes signs from + to -.
- 10. A curve that is represented by f(x).
- 12. Finding an equation for the slope of the line is called taking the _____.
- 14. This exists when f''(x) = 0 or undefined and changes signs.
- 15. 2 sets of terms that have an "=" sign equating them.
- 17. The ____ of a 3-Dimensional shape can be calculated with the disk, washer, and shell method.
- 18. The portion of math that involves deriving, integrating, etc.
- 19. The derivative of speed that determines directional speed of a particle.
- 21. This extrema exists when f'(x) changes signs from - to +.
- 22. When a series results in a number > 1 for the nth term test, it has _____.
- 25. A string of numbers that are all added together to prove convergence or divergence.
- 27. If a function at a point has an existing limit, both sides approach the existing limit, and that point is equal to the limit then the function is considered _____.
- 28. When a series contains a p-series with an exponent greater than 1, it is said to have _____.
- 29. This function is represented on a circular graph with an angle and radius.
Down
- 1. If the denominator of a function contains a factor of (x+1), it will approach a vertical _____ at x=-1.
- 2. This type of power series is centered about x=0.
- 3. This is calculated with partial sums and is represented with sigma.
- 4. As x approaches infinity, you are calculating the ____ of a function.
- 5. The second derivative of f(x) determines the _____ of a function.
- 6. Taking the ____ of a curve will give you the area under the curve.
- 7. A string of numbers that aren't added together.
- 8. The derivative of the ____ of f(x) is 1/(f'(f^(-1)(x)))
- 9. This type of a function relates both x and y with a third variable; "t".
- 11. This type of growth increases most rapidly at half of the carrying capacity.
- 13. The second derivative of speed.
- 15. Maximums and minimums are both different kinds of _____.
- 16. If a line only intersects a curve at one point, it is said to be ____ with the curve at this point.
- 20. This type of series will converge if |r|<1.
- 23. f(x) has a _____ point if f'(x)=0 (or undefined) and changes signs.
- 24. This method is used when revolving a curve around a pole that will leave some sort of hole or "gap" in the center of the shape.
- 26. This is the ____ of an integral determined by the upper and lower bounds.