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
26PRACTICE PROBLEM
A liquid chemical substance is stored in a cylindrical vessel with a cross-sectional area of 30 ft2. At t=0 s, a discharge hole at the bottom of the vessel with an area of 3 ft2 is opened. At time t≥0, the liquid level is given by the function L(t)=(4−0.15t)2. If the liquid level at t=0 s is 16 ft, determine the time elapsed when the vessel is empty.
A liquid chemical substance is stored in a cylindrical vessel with a cross-sectional area of 30 ft2. At t=0 s, a discharge hole at the bottom of the vessel with an area of 3 ft2 is opened. At time t≥0, the liquid level is given by the function L(t)=(4−0.15t)2. If the liquid level at t=0 s is 16 ft, determine the time elapsed when the vessel is empty.