Table of contents
- 0. Functions(301)
- Introduction to Functions(42)
- Piecewise Functions(21)
- Properties of Functions(32)
- Common Functions(48)
- Transformations(19)
- Combining Functions(61)
- Exponent rules(0)
- Exponential Functions(9)
- Logarithmic Functions(1)
- Properties of Logarithms(10)
- Exponential & Logarithmic Equations(17)
- Introduction to Trigonometric Functions(13)
- Graphs of Trigonometric Functions(8)
- Trigonometric Identities(4)
- Inverse Trigonometric Functions(16)
- 1. Limits and Continuity(424)
- 2. Intro to Derivatives(123)
- 3. Techniques of Differentiation(260)
- 4. Applications of Derivatives(362)
- 5. Graphical Applications of Derivatives(202)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(101)
- 7. Antiderivatives & Indefinite Integrals(1)
- 8. Definite Integrals(0)
0. Functions
Common Functions
0. Functions
Common Functions: Videos & Practice Problems
20PRACTICE PROBLEM
Oil is introduced to a cylindrical vessel until it reaches a depth of 36 ft. The cross-sectional area of the vessel is 15 ft2. A drain with an area of 2 ft2 located at the bottom of the vessel is opened at t=0 s. At time t≥0, the depth of the oil is represented by the function d(t)=(6−0.13t)2. Does this function provide a depth of 36 ft as specified at t=0 s?
Oil is introduced to a cylindrical vessel until it reaches a depth of