2.7 Rates of Change in the Natural and Social Sciences

# 2.7 Rates of Change in the Natural and Social Sciences -...

This preview shows pages 1–11. Sign up to view the full content.

Rates of Change in the Natural and Social Sciences Section 2.7

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Instantaneous Rate of Change v The instantaneous rate of change of f with respect to x at a is the derivative provided the limit exists. ( ) ( ) ( ) lim h o f a h f a f a h + - =
Average Velocity t s time in change distance in change =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Speed v The speed of an object is the absolute value of its velocity. Speed cannot be negative. v Speed = ( ) ds v t dt =
Free-fall Constants (Earth) English units: Metric units: 2 2 2 1 32 , (32) 16 ( ) sec 2 ft g s t t s in feet = = = 2 2 2 1 9.8 , (9.8) 4.9 ( ) sec 2 m g s t t s in meters = = =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
v (s) t is the position function

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: v (v) t is the velocity function and is the first derivative of the position function. v (a) t is the acceleration function and is the first derivative of velocity or the second derivative of the position function. ( ) ( ) ( ) ( ) ( ) ( ) s t v t s t a t v t s t ′ = ′ ′′ = = Economics Joke Time v How does a lion greet the other animals in the jungle? v Pleased to eat you. v What happened when the lion ate the comedian? v He felt funny!...
View Full Document

{[ snackBarMessage ]}

### Page1 / 11

2.7 Rates of Change in the Natural and Social Sciences -...

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online