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Calculus-Optimization Flashcards | StudBud
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Calculus-Optimization
Calculus-Optimization
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1
What is the first step to solving an optimization problem?
Find the derivative
Identify given quantities, write the equation to optimize
Optimize
Verify
2
Which is the correct equation to me optimized?
A=x2y
V=x2y
V=xy
4xy=48-x2
3
Optimization is an application of
Calculus
Derivatives
Integrals
Area
4
How can you verify a max or min?
Look at the domain
Use test intervals of the first derivative
IDK
Use the second derivative test
5
Which is the equation to be optimized?
P=x+y
V=lwh
A=xy
6
What is the correct equation to be maximized?
xy=9
x+y=9
P=xy
P=xy2
7
Can an optimization problem have more than one correct answer?
Yes
No
8
What equation is to be maximized?
A=5x+2y
500=xy
500=5x+2y
A=xy
9
What is the final step in an optimization problem?
Answer the question
Find the second derivative
Write the equation
Verify
10
What equations are needed, in general, to solve an optimization problem?
One to be optimized, and one supplementary
An equation to be maximized
Volume of a cone
One to be minimized
