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IB App 12 - Calculus-Optimization Flashcards | StudBud
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IB App 12 - Calculus-Optimization
IB App 12 - Calculus-Optimization
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1
What is the first step to solving an optimization problem?
Identify given quantities, write the equation to optimize
Verify
Optimize
Find the derivative
2
What equations are needed, in general, to solve an optimization problem?
One to be minimized
An equation to be maximized
One to be optimized, and one supplementary
3
What is the final step in an optimization problem?
Verify
Find the second derivative
Write the equation
Answer the question
4
Optimization is an application of
Calculus
Integrals
Derivatives
Area
5
Can an optimization problem have more than one correct answer?
Yes
No
6
What equation is to be maximized?
A=5x+2y
A=xy
500=5x+2y
500=xy
7
How can you verify a max or min?
Use the second derivative test
IDK
Look at the domain
Use test intervals of the first derivative
8
What is the correct equation to be maximized?
P=xy
P=xy^2
xy=9
x+y=9
9
Which is the correct equation to me optimized?
V=x^2y
A=x^2y
4xy=48-x^2
V=xy
10
Which is the equation to be optimized?
P=x+y
V=lwh
A=xy
