The following examples refer to Bradley's Calculus.
Exponential functions are essential because many graphs are exponential in nature.
Examples:
- pg. 333 (Section 5.1): #27, #36, #37, #38
The logarithmic function is the inverse of the exponential function.
Examples:
- pg. 343 (Section 5.2): #45
- pg. 344 (Section 5.2): #53, #54, #52
The derivatives of exponential and logarithmic functions can be very useful
Examples:
- pg. 357 (Section 5.4): #42
- pg. 358 (Section 5.4): #48, #53, #54
Integration involving ln x can be useful when considering the motion of a particle.
Examples:
- pg. 361 (Section 5.5): Examples 7
- pg. 362 (Section 5.5): #53
The following examples refer to Young and Freedman's University Physics.
Calculating capacitance and other related quantities involves the manipulation of equations.
Examples:
- pg. 792 (25-1)
The total work needed to increase a charge q from zero to a final value Q is equal to the potential energy U of the charged capacitor. Work can be calculated as an integral.
Examples:
- pg. 793 (25-25)
When dealing with the change in resistance, one must use differentials. The following os also an excellent example of an integral involving ln(x).
Examples:
- pg. 808 (Examples 26-4)
- pg. 829 (26-50)
The potential across a circuit can be displayed on a graph (pg. 814 Figure 26-16)
Examples:
- pg. 827 (26-30)
Electrical power can be expressed in terms of many different variables.
Examples:
- pg. 827 (26-31)
