1 / 7

Mathematical Problem Solving: Logarithms, Recurrence Relations, and Ratios

Solve logarithmic equations, find values in recurrence relations & determine ratios using mathematical formulas step by step.

calvin-holcomb
Télécharger la présentation

Mathematical Problem Solving: Logarithms, Recurrence Relations, and Ratios

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. Revision No 3

  2. 1. Graph is in form y = loga(x – b) Find values of a and b. (13,2) (5,0) 2. A recurrence relation is in the form Un+1 = mUn + c Given that U1 = 7, U2 = 32 and U3 = 153, find the values of m and c

  3. 3. B divides AC in ratio 1:2. A(1,0,1) and C(7,3,13) Find coordinates of B 4. Solve 5cos(x – 20) = 2 0<x<3600

  4. 1. Graph is in form y = loga(x – b) Find values of a and b. (13,2) using (5,0) → 0 = loga(5 – b) = 1 (5,0) →b = 4 using (13,2) → 2 = loga(13 – 4) → 2 = loga9 → 9 = a2 → a = 3

  5. 2. A recurrence relation is in the form Un+1 = mUn + c Given that U1 = 7, U2 = 32 and U3 = 157, find the values of m and c U2 = mU1+ c U3 = mU2+ c 125 = 25m m = 5 Substituting 32 = 7(5) + c c = -3 → 32 = 7m + c →157 = 32m + c

  6. A B C 3. B divides AC in ratio 1:2. A(1,0,1) and C(7,3,13) Find coordinates of B 1 2 2AB = BC 2(b – a) = c – b 2b – 2a = c – b ( ) 5 2 9 b = 3b = c + 2a ( ) ( ) 1 0 1 = 7 3 13 + 2 B(5 , 2 , 9) ( ) 15 6 27 =

  7. 4. Solve 5cos(x – 20) = 2 0<x<3600 Let 5cosA = 2, where A = x – 20 cosA = 0.4 cos-1(0.4) = 66.40 A = 66.40 or 360 – 66.40 = 293.60 x – 20 = 66.40 OR x – 20 = 293.60 x =86.40 x = 313.60

More Related