Table of contents
- 0. Functions(0)
- Introduction to Functions(0)
- Piecewise Functions(0)
- Properties of Functions(0)
- Common Functions(0)
- Transformations(0)
- Combining Functions(0)
- Exponent rules(0)
- Exponential Functions(0)
- Logarithmic Functions(0)
- Properties of Logarithms(0)
- Exponential & Logarithmic Equations(0)
- Introduction to Trigonometric Functions(0)
- Graphs of Trigonometric Functions(0)
- Trigonometric Identities(0)
- Inverse Trigonometric Functions(0)
- 1. Limits and Continuity(0)
- 2. Intro to Derivatives(0)
- 3. Techniques of Differentiation(0)
- 4. Applications of Derivatives(0)
- 5. Graphical Applications of Derivatives(0)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)
- 7. Antiderivatives & Indefinite Integrals(0)
- 8. Definite Integrals(0)
0. Functions
Common Functions
0. Functions
Common Functions: Study with Video Lessons, Practice Problems & Examples
25PRACTICE 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 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?