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5-4 Day 1 Optimization/Modeling Flashcards | StudBud

Explore/5-4 Day 1 Optimization/Modeling

5-4 Day 1 Optimization/Modeling

6 terms·StudBud Administration·2 plays

A #math game focusing on #calculus for #high school students - specifically #optimization and #modeling with #derivatives, #critical points, and #word problems.

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Questions 6

Answers

1
Given materials for a box, how do you find the dimensions to give the largest area
find the minimum value from the critical pts of the eqtn
Cut the material and hope for the best
find the maximum value from the critical points of the eqtn
take the integral to find the area
2
Which of these describe a critical point?
f'(x)=0
f''(x)=0
f(x)=0
F(x)=0
3
How do you find the critical values of an equation?
Graph the second derivative to find the zero's
Take the first derivative of the equation and set =0
Take the second derivative and set =0
Set the original equation =0 and solve for x
4
what is the derivative of V(x)=10x³-36x²+600x
V'(x)=30x2+62x+600
V'(x)=30x2+72x+600
V'(x)=20x3-18x2+300
V'(x)=30x2-72x+600
5
Which graph do you use to find the maxima and minima at the zeroes ?
First Derivative
Antiderivative
Original Equation
Second Derivative
6
How do you determine if a point is a maximum or minimum?
Graph it
Find the zeroes of the original equation
Second Derivative Test
First Derivative Test