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Duplicate of Calculus-Optimization Flashcards | StudBud
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Duplicate of Calculus-Optimization
Duplicate of Calculus-Optimization
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1
What is the final step in an optimization problem?
Find the second derivative
Write the equation
Answer the question asked
Verify using a derivative test
2
Which is the correct equation to be optimized?
A=x^2y
V=xy
4xy=48-x^2
V=x^2y
3
What equations are needed, in general, to solve an optimization problem?
One equation to be minimized
One to be optimized, and one supplementary to help maximize
A volume or area equation
An equation to be maximized
4
What is the first step to solving an optimization problem?
Verify with a derivative test
Identify given quantities, write the equation to optimize
Find the derivative
Answer the question asked
5
Which is the equation to be optimized?
V=x(3-2x)(4-2x)
A=(3-2x)(4-2x)
V=12x
P=3x+4y
6
Can an optimization problem have more than one correct answer?
Yes
No
7
What is the correct equation to be maximized?
P=xy
P=xy^2
xy=9
x+y=9
8
Optimization is an application of
Calculus
Area
Integrals
Derivatives
9
How can you verify a max or min?
Use test intervals of the first derivative
Use the second derivative test
Look at the domain
Assume it's a max/min because it came out of the derivative
10
What is the supplemental equation to help you (not the one you will maximize).
500=3x+4y
500=5x+2y
A=xy
A=3x+2y
