Table of contents
- 0. Functions7h 52m
- Introduction to Functions16m
- Piecewise Functions10m
- Properties of Functions9m
- Common Functions1h 8m
- Transformations5m
- Combining Functions27m
- Exponent rules32m
- Exponential Functions28m
- Logarithmic Functions24m
- Properties of Logarithms34m
- Exponential & Logarithmic Equations35m
- Introduction to Trigonometric Functions38m
- Graphs of Trigonometric Functions44m
- Trigonometric Identities47m
- Inverse Trigonometric Functions48m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation3h 18m
- 4. Applications of Derivatives2h 38m
- 5. Graphical Applications of Derivatives6h 2m
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions2h 37m
0. Functions
Common Functions
6:57 minutes
Problem 32c
Textbook Question
Textbook QuestionDraining a tank (Torricelli’s law) A cylindrical tank with a cross-sectional area of 10 m2 is filled to a depth of 25 m with water. At t=0 s, a drain in the bottom of the tank with an area of 1 m² is opened, allowing water to flow out of the tank. The depth of water in the tank (in meters) at time t≥0 is d(t)=(5−0.22t)2.
c. What is an appropriate domain for d?
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