1 / 8

Lesson 8-7 Quadratic Variation

Lesson 8-7 Quadratic Variation. Objectives: Students will: Be able to find equations of direct, inverse, and joint quadratic variation Solving problems involving quadratic variation. Quadratic Variation 3 possibilities 1) Direct → y = kx 2 “y varies directly with the square of x”

minerva-keith
Télécharger la présentation

Lesson 8-7 Quadratic Variation

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. Lesson 8-7Quadratic Variation Objectives: Students will: Be able to find equations of direct, inverse, and joint quadratic variation Solving problems involving quadratic variation

  2. Quadratic Variation 3 possibilities 1) Direct → y = kx2 “y varies directly with the square of x” 2) Inverse → “y varies inversely with the square of x” 3) Joint → y = kxz “y varies jointly with x and z” Or Combos of these!!

  3. Writing Variation Equations • Choose equation • Plug in values • Solve for k • Re-write equation with k-value

  4. Example 1 Find the equation of variation where y varies inversely as the square of x, and y = 2 when x = 3. so

  5. Example 2 Find an equation of variation where y varies jointly as x and z, and y = 2, when x = 3, and z = 4.

  6. Example 3 The intensity I of the light from a lamp varies directly as the wattage W of the lamp and inversely as the square of the distance D from the lamp. The intensity is 10 units when a 100-watt bulb is used at a distance of 20 feet. What is the intensity if a 75-watt bulb is used at 25 feet.

  7. Example 4 The force of attraction F between two magnets varies inversely as the square of the distance D between them. The force is 5 newtons when the magnets are 2 cm apart. What is the force when the magnets are 5 cm apart?

  8. Assignment 8-7/370-371/1-15o, 25, 31,33

More Related