• #### Economics: Cost & Revenue - Problem 3

##### Math›Calculus›Applications of the Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
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• #### Average Value of a Function - Problem 3

##### Math›Calculus›The Definite Integral
How to find the average value of a function over an interval [a,b].
• #### Economics: Cost & Revenue - Problem 1

##### Math›Calculus›Applications of the Derivative
How to determine intervals of time when the average rate of change is negative or positive, and how to compute average rate of change from a graph.
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• #### Finding the Domain of a Function - Problem 3

##### Math›Precalculus›Introduction to Functions
How to find the domain of a function defined by the square root of a quadratic expression.
• #### Finding the Domain of a Function - Problem 1

##### Math›Precalculus›Introduction to Functions
How to find the domain of a function when it has two radical expressions.
• #### Deriving the Quadratic Formula - Concept

##### Math›Algebra 2›Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
• #### Solving a Three-part Linear Inequality - Concept

##### Math›Algebra 2›Linear Inequalities
How to solve a three part inequality.
• #### Finding the Domain of a Function - Problem 4

##### Math›Precalculus›Introduction to Functions
How to find the domain of a function defined by the square root of a rational expression.
• #### Instantaneous Velocity - Problem 2

##### Math›Calculus›The Derivative
How to estimate the intervals of time when velocity is positive from a graph of position vs. time, and how to estimate when velocity is greatest.
• #### Economics: Cost & Revenue - Concept

##### Math›Calculus›Applications of the Derivative
How to compute the average rate of change of the amount of a drug in a patient's bloodstream over an interval of time, and how to interpret whether the amount is increasing or decreasing over time.
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None
• #### Solving a Three-part Linear Inequality - Concept

##### Math›Precalculus›Linear Equations and Inequalities
How to solve a three part inequality.
• #### Instantaneous Rate of Change - Concept

##### Math›Calculus›The Derivative
How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.
• #### Optimization Problems: Applications to Economics - Concept

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
• #### Average Value of a Function - Problem 2

##### Math›Calculus›The Definite Integral
How to use definite integrals to find the average value of a function, f= 12x/(x^2 + 16), over an interval [a,b].
• #### Optimization Problems: Applications to Economics - Problem 1

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize revenue.
• #### Optimization Using the Second Derivative Test - Problem 3

##### Math›Calculus›Applications of the Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph.
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None
• #### Optimization Problems: Applications to Economics - Problem 3

##### Math›Calculus›Applications of the Derivative
How to use the optimization methods of calculus to optimize cost.
• #### Average Rate of Change - Problem 3

##### Math›Calculus›The Derivative
How to determine negative or positive average rate of change for certain time intervals, and how to compute average rate of change from a graph.
• #### Average Rate of Change - Problem 2

##### Math›Calculus›The Derivative
How to compute the average rate of change of the amount of a drug in a patient's bloodstream over an interval of time, and how to interpret whether the amount is increasing or decreasing over time.
• #### Instantaneous Velocity - Problem 1

##### Math›Calculus›The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.