1 / 67

BC Content Review

BC Content Review. When you see…. (If the limit of the top and bottom are BOTH 0 or infinity…). You think…. Find the limit of a rational function. Find the LIMIT. When you see…. Find. You think…. Improper Integral!.

limei
Download Presentation

BC Content Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. BC Content Review

  2. When you see… (If the limit of the top and bottom are BOTH 0 or infinity…) You think… Find the limit of a rational function

  3. Find the LIMIT

  4. When you see… Find You think…

  5. Improper Integral! Also use improper integrals when lower bound is infinity OR when there is an undefined value within the bounds.

  6. When you see… You think…

  7. Logistical Growth P is growing fastest when P = half of carrying capacity M

  8. When you see… Find Where factors You think…

  9. Think: Partial Fractions!

  10. When you see… The position vector of a particle moving in the plane is Find the velocity… You think…

  11. Particle MotionVelocity is the derivative of Position

  12. When you see… The position vector of a particle moving in the plane is Find the acceleration… You think…

  13. Particle MotionAcceleration is the second derivative of Position

  14. When you see… The position vector of a particle moving in the plane is Find the SPEED… You think…

  15. Particle MotionSpeed is the Magnitudeof Velocity

  16. When you see… Given the velocity vector And position at time 0, find the position vector. You think…

  17. Particle MotionPosition is the antiderivativeof Velocity Integrate x’(t) and y’(t) separately. Use the initial condition of each variable to find the constants of integration.

  18. When you see… Given the velocity vector When does the particle stop? You think…

  19. Particle MotionParticle stops when the Velocity of the particle is zero

  20. When you see… Given the velocity vector Find the slope of the tangent line to the vector v(t) at a given time. You think…

  21. Particle Motion

  22. When you see… Find the area inside the polar curve You think…

  23. Polar Area

  24. When you see… Find the slope of the tangent line to the polar curve You think…

  25. Polar to Rectangular

  26. When you see… Find the horizontal tangents to a polar curve You think…

  27. Polar

  28. When you see… Find the vertical tangents to a polar curve You think…

  29. Polar

  30. When you see… Use Euler’s Method to approximate a y-value You think…

  31. Euler’s Method(based on local linearity)

  32. When you see… Is Euler’s approximation an underestimate or an overestimate? You think…

  33. Euler’s Method(based on local linearity) Look at the signs of the derivative and the second derivative in the interval. This gives you the trend and shape of the curve. Sketch a picture to determine the answer.

  34. When you see… You think…

  35. Integration by Parts

  36. When you see… Write a series for where n is an integer You think…

  37. Series – (Serious about…) Multiply each term by

  38. When you see… Write a series for centered at x=0 You think…

  39. Series – (Serious about…) Find the Maclaurin polynomial:

  40. When you see… You think…

  41. Series – (Serious about…) Series converges if p>1

  42. When you see… Find the interval of convergence of a series. You think…

  43. Series – (Serious about…) Use a test (ratio test) to find the interval of convergence. Then test the convergence of the endpoints.

  44. When you see… You think…

  45. Series – (Serious about…) Plug in and factor. This will be a geometric series:

  46. When you see… You think…

  47. Series – (Serious about…)

  48. When you see… You think…

  49. Series – (Serious about…)

  50. When you see… You think…

More Related