Reviewed optimization and related rates.
Homework
finish the rest of these (blank copy) (SOLUTIONS)
Resources
see Weds. below
Tuesday
Discussed change to take home test. Reviewed optimization and related rates with two more examples, one to find an optimal path among two different rates (rowing vs walking) and another to find a rate of change with the Pythagorean Theorem.
Introduced antiderivatives (also known as indefinite integration) through some thought exercises and developed the idea of the reverse power rule. Looked at the structure and new notation/symbols for indefinite integration. Worked several examples in the abstract, including the necessity of rewriting prior to integration.
Notes from board
Homework
complete the take home test (blank copy)
due at start of class Thursday
(show all work, can use resources/calc, do your own work)
Resources
maximum area of rectangle under a curve: link1 link2
minimum area for poster with margins: link
rate of change of cone height : link
hot air balloon pythagorean problem: link
Turned in take home tests. Learned about the reverse chain rule and did more antiderivatives.
Notes from board
(includes antiderivative rules to know)
Homework
evens on this handout (blank copy)
next test : Thursday
Resources
Reverse chain rule example (made by me) link
reverse chain rule concept video example video
rationale behind reverse power rule: link
many great integral examples link