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