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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
Calculus
Integrals
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 equation is to be maximized?
500=5x+2y
A=5x+2y
A=xy
500=xy
4
What is the correct equation to be maximized?
x+y=9
xy=9
P=xy^2
P=xy
5
Can an optimization problem have more than one correct answer?
No
Yes
6
Which is the equation to be optimized?
V=lwh
A=xy
P=x+y
7
What is the first step to solving an optimization problem?
Verify
Optimize
Identify given quantities, write the equation to optimize
Find the derivative
8
Which is the correct equation to me optimized?
V=x^2y
4xy=48-x^2
A=x^2y
V=xy
9
What is the final step in an optimization problem?
Write the equation
Verify
Find the second derivative
Answer the question
