Across
- 1. Alternating series converges and general terms converge in another test
- 3. ∫f (x)-g (x) from interval a to b. Where f (x) is the top-level function and g (x) is the bottom-level function.
- 7. Finds all derivatives up to the Xth derivative, a polynomial with a finite number of terms and the largest exponent of X
- 10. If lim is positive and finite as n approaches the comparison series / general term ratio ∞, the series behaves like a comparison series.
- 12. When f'(x) changes from increase to decrease, or decrease to increase, f (x) is
- 15. f '(g(x)) g'(x)
- 20. Particles are moving right / up
- 24. The slope of a horizontal line
- 25. If f'(x) is negative, then f (x) is
- 26. If the integral converges, the series converges
- 27. As the term grows endlessly, the series diverges
- 36. The area below the x-axis is
- 38. ∫√ (1 + (dy / dx) ²) dx spanning a to b
- 40. P = M / (1 + Ae^(-Mkt))
- 42. absolute value of velocity
- 46. The area above the x-axis is
- 49. lim converges when n approaches ∞ in the ratio of (n + 1) term / nth term> 1
- 51. Rate of change
- 52. When f'(x) is decreasing, f (x) is
- 53. Convergence when general term = 1 / n ^ p, p> 1
- 54. If f (x) is continuously differentiable, the slope of the tangent is equal to the slope of the secant at least once in the interval (a, b).
- 55. When f'(x) changes from negative to positive, f (x) is
- 56. Used to find indeterminate limits, find the numerator and denominator derivatives separately, then evaluate the limits
- 57. Particles are moving left / down
- 58. General term = a 1 r ^ n, converge when -1 <r <1
Down
- 1. In order to find absolute maximum on the closed interval [a, b], you should consider...
- 2. substitution, integration by parts, partial fractions
- 4. uv' + vu'
- 5. y = ln (x) / x², rule used to find derivatives
- 6. Evaluate the integral using the rightmost rectangle (estimated area)
- 8. Where the function is not differentiable
- 9. Two different types of functions are multiplied
- 11. integrand is a rational function with a factorable denominator
- 13. There are limits a and b, find an indefinite integral, F (b) -F (a)
- 14. dP/dt = kP(M - P)
- 16. Limitations when x approaches a in [f (x) -f (a)] / (x-a)
- 17. Use the ratio test and set it to> 1 to solve the absolute equation and see the endpoint
- 18. Evaluate the integral (estimated area) using the leftmost rectangle
- 19. Limit when h approaches 0 of [f (a + h) -f (a)] / h
- 21. The slope of the tangent at a point, the value of the derivative at a point
- 22. The series converges as n approaches zero with the general term = 0 and the terms decrease.
- 23. Approximate the value of the function using tangents
- 28. Find C with no limit, indefinite integral + C and use initial value
- 29. 0/0, ∞ / ∞, ∞ * 0, ∞-∞, 1 ^ ∞, 0⁰, ∞⁰
- 30. The slope of a vertical line
- 31. The slope of the secant line between two points. Used to estimate the instantaneous rate of change at a point.
- 32. y = x cos (x), rule used to find derivatives
- 33. Use the ratio test, set it to> 1 and solve the absolute value equation. Radius = Center-Endpoint
- 34. Alternating series converge and general terms diverge in another test
- 35. If f (a) <0 and f (b)> 0, then the x value must exist between a and b where f intersects the x-axis.
- 37. When f'(x) changes from positive to negative, f (x) is
- 39. ∫f (x) dx integrates over the interval a to b
- 41. Evaluate the integral using a trapezoid (estimated area)
- 43. The function and its derivative are in the integrand
- 44. [(H1-h2) / 2] * Base
- 45. When f'(x) is increasing, f (x) is
- 47. (uv'-vu')/v²
- 48. Polynomials with an infinite number of terms, including general terms
- 50. If f'(x) is positive, then f (x) is