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  • AP Calculus
    • Optimization (Rectangular Objects)
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    • Quiz 1 Worked Out Solutions
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AP Calculus 


Optimization and Modeling


Types of Problems:

​#5 Inscribed rectangle,
#7 Optimal box volume (no top),
#13 Minimization of paper used,
​#15 Maximization of a triangle's area,
​#25 minimization of average cost

Homework

1-7-19 Assignment

Solutions

1-7-19 solutions

Video and other resources

rectangle problem
OPEN top box problem
poster problem
AVERAGE COST PROBLEM

#2 maximize area based on given right triangle and hypotenuse
#4 maximize area of rectangle based on perimeter
#6 Inscribed rectangle
#18 Optimal Box Volume (with lid)
#20 Quickest Route
#24 Maximize Profit
#26 Minimize Average Cost
#29 Cubic polynomial theory
5.4 Assignment
1-8-19 Solutions
not available yet HWK check thursday
right triangle problem
Rectangle perimeter problem
rectangle under parabola

Scenario 1: Corner cut rectangular prism volume

Scenario 2: Given SA triangular prism volume

Scenario 3: Maximize area based on perimeter

​Scenario 4: Maximize cone volume based on slant height

Blank Quiz 

1-18-19 quiz 1 geometric models

Quiz Remediation

Additional Practice 1-22-19

Worked out Solutions 

Rectangular Prisms Scenario 1
TRIANGULAR PRISMS Scenario 2
Wire problem Scenario 3
cone problem scenario 4

Determine marginal cost, marginal profit, and marginal revenue functions

Determine average cost function

Determine production level that will minimize average cost

Determine production level that will maximize profit

​Determine rate of change of revenue, cost, and profit functions 
Practice for Business applications
Solutions to practice

AP Calculus Additional Resources


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you