The following examples are from Bradley and Smith, Calculus.
The limit is a tool for investigating the behavior of f(x) as x gets closer and closer to a particular number c.
Examples:
- pg. 42 (Section 1.5): Example #1
- pg. 43 (Section 1.5): Example #3
- pg. 48 (Section 1.5): #59
The intermediate value theorem and the root location theorem can be used to find roots of a continuous function.
The following examples refer to Young and Freedman's University Physics.
Instantaneous velocity and acceleration can also be broken up into three vector components.
Examples:
- pg. 63 (Example 3-1)
- pg. 85 (3-7)
Projectile motion requires full knowledge of tangent lines. (pg. 69 3-15 show the tangents along a projectile curve and the corresponding vector components)
Examples:
- pg. 86 (3-25) involves acceleration of circular motion
- pg. 86 (3-24)
Newton's Laws of Motion are introduced, but the use of these laws is more applicable for our uses.
