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Calc 6 Quiz
Calc 6 Quiz
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1
What is the correct equation to be maximized?
x+y=9
P=xy2
P=xy
xy=9
2
Optimization is an application of
Integrals
Area
Calculus
Derivatives
3
What is the final step in an optimization problem?
Write the equation
Find the second derivative
Answer the question, in context
Verify
4
when we set the 2nd derivative equal to 0 & solve, what are those points
possible inflection points
critical points
inflection points
possible critical points
5
what is the correct order of steps for critical points
derive, =0, solve
=0, factor, solve with context
solve, =0, derive
derive, solve, quadratic
6
What equations are needed, in general, to solve an optimization problem?
An equation to be maximized
One to be optimized, and one constraint
One to be minimized
7
What is the first step to solving an optimization problem?
Find the derivative
Verify
Identify information, write the constraint & the equation to optimize
Optimize
8
what is an inflection point
the point a function changes from concave up to concave down or vice versa
the point where a function changes from increasing to decreasing
the point a function changes from concave up to decreasing
the point a function changes from up to down
9
What equation is to be maximized?
A=xy
500=5x+2y
A=5x+2y
500=xy
10
what could this be showing
intervals of concave up or concave down
that the function will increase from 2 to infinity and from -infinity to -2
up and then down it seems
intervals of increasing or decreasing