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
28PRACTICE PROBLEM
Yeast colonies can be considered cylinders of constant height. The number of yeast cells in a colony can be calculated using the linear function N(A)=CsA, where the constant Cs is the cell-surface coefficient, and A is the cross-sectional area of the colony. Debaryomyces fabryi is a yeast commonly found in all types of cheese. Determine the value of Cs for a colony of this yeast with a cross-sectional area of 50 mm2 containing 260×106 yeast cells. Calculate the number of yeast cells in the colony with a cross-sectional area of 100 mm2.
Yeast colonies can be considered cylinders of constant height. The number of yeast cells in a colony can be calculated using the linear function N(A)=CsA, where the constant Cs is the cell-surface coefficient, and A is the cross-sectional area of the colony. Debaryomyces fabryi is a yeast commonly found in all types of cheese. Determine the value of Cs for a colony of this yeast with a cross-sectional area of 50 mm2 containing 260×106 yeast cells. Calculate the number of yeast cells in the colony with a cross-sectional area of 100 mm2.