1 / 3

Page 253 Example 1 Red line = ”over function ” = 4 – 3x.

Page 253 Example 1 Red line = ”over function ” = 4 – 3x. Blue line = ”under function ” = 3x 2 – 3x + 1. Work out 1 – 2 = 4 – 3x – (3x 2 – 3x + 1) = 3 – 3x 2 Work out primitive function for 3 – 3x 2 . This is F(x) = 3x – x 3

afia
Download Presentation

Page 253 Example 1 Red line = ”over function ” = 4 – 3x.

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. Page 253 Example 1 Red line = ”over function” = 4 – 3x. Blue line = ”under function” = 3x2 – 3x + 1. Work out 1 – 2 = 4 – 3x – (3x2 – 3x + 1) = 3 – 3x2 Work out primitive function for 3 – 3x2. This is F(x) = 3x – x3 Work outF(x) for x=1. This is 3.1 – 13 = 2. Call this value1. Work outF(x) for X=-1. This is 3.-1 – (-1)3. = -2 Call this value2. Value1 – value2 = 2 – (-2) = 4. Answer = 4. Area

  2. Area Beräkna arean av det område som begränsas av kurvorna Y=X2-4 och Y=2X-X2. Page 254. ”Over function” is Y=2X – X2. ”Under function” is Y=X2 – 4. Work out Y=2X – X2 – (X2 – 4). This gives Y=2X-2X2+4. Primitive function F(X) = x2 – 2x3/3 + 4X This time wehave to work out the upper and lower limits as we are not given them IN THE EXAMPLE. Thereforesolve X2-4=2X-X2. 2X2-2x-4 = 0  X2-x-2 = 0  (x-2)(x+1)=0 X1 = 2 and x2 = -1

  3. Area Primitive function F(X) = x2 – 2x3/3 + 4X X1 = 2 and x2 = -1 Work out F(X) for X=2. This gives 4 – 2.8/3 + 8 = 20/3. Work out F(X) for X=-1. This gives 1 – (2.-13)/3 + 4.-1 = 1+(2/3)-4. This gives 2/3 – 3 = -7/3. Answer= F(2) – F(-1) = 9 Note: Ifthere is no ”over function” and ”under function” pleasesee page 258

More Related