The following examples refer to Bradley's Calculus.
Optimization problems appear in many different areas that use calculus as a method of analysis.
Examples:
- pg. 238 (Section 3.8):#25, #29, #30
The knowledge of L'Hopital's Rule can be helpful in the analysis of limits.
Examples:Antiderivatives occur in many definitions in Physics.
- pg. 245 (Section 3.9): #39
Examples:
- pg. 249 (Section 3.10): Example #6
- pg. 251 (Section 3.10): #28, #32, #36
The following examples refer to Young and Freedman's University Physics.
The conservation of angular momentum involves the sum of torques which are the rates of change or derivatives od angular momentum. The general relation between torque and rate of change of angular motion can also be given in differential form.
Examples:
- pg. 317 (Example 10-17) uses differentials
- pg. 323 (10-42)