Download presentation

Presentation is loading. Please wait.

Published byRachel Sheridan Modified over 4 years ago

1
Lesson 14.1

2
Just like a movie is a constantly moving figure, it can be broken into individual frames. I may not be able to find the area of this figure (created with the x-axis), but I can estimate it by breaking it into rectangles.

3
Although this is a good estimate, I can have a better estimate using more rectangles.

4
As x gets smaller, the my estimate gets more accurate. The integral is created by getting x (the length of each rectangle) as small as possible. Velocity-time curve: a graph in which x is the velocity and y is the time.

5
A car accelerates from 0 to 60 ft/sec (41 mi/hour) in 8 seconds with a velocity after t seconds. Estimate how far the car travels in this time by dividing the interval 0 t 8 into 4 subintervals and using the midpoints of those intervals.

6
Now find the area of each of the rectangles! (remember – use midpoint to find the height)

7
Area: length * height Blue : 2 * f(1) General: 2 * f(1) + 2 *f(3) + 2 * f(5) + 2 f(7) 2 * 14.0625+ 2 *36.5625 + 2 * 51.5625+ 2 * 59.0625 322.5

8
Calculate how far the car in Example 1 travels if the velocity is changed to 7.5t after t seconds. A = ½ bh A = ½ * 8 * 60 A = 240 feet (8, 60)

9
2, 4, 5, 7, 8

Similar presentations

OK

Copyright © Cengage Learning. All rights reserved. 4 Integrals.

Copyright © Cengage Learning. All rights reserved. 4 Integrals.

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on types of ram and rom Ppt on perimeter and area of circle Ppt on oxygen cycle and ozone layer Ppt on ministry of corporate affairs csr View my ppt online reader Ppt on earth movements and major landforms in germany Ppt on active directory 2008 Free ppt on festivals of india Ppt on perimeter and area of plane figures Download ppt on civil disobedience movement in united