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