2. Find the absolute minimum and the absolute maximum of the function f(x) = x* – 4r³ +5 on the interval [1, 4] %3D

College Algebra
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ISBN:9781337282291
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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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d) f(x) =
e) f(x) = xe²*r
2. Find the absolute minimum and the absolute maximum of the function
f(x) = x* - 4x³ + 5 on the interval [1, 4]
3. You are not allowed to use the graphing calculator
3
For the given equation f(x) = x* + a2
- 6x + 10
a) Find the intervals on which f is concave up and concave down
b) Find the inflection points.
4. For the given function find the local extrema using the Second Derivative Test.
f(x) = x³ – 9x2 + 24x + 2
5. You are not allowed to use the graphing calculator
For the given equation f(x) = x³ – 6x2 + 9x -2
a) Find the intervals on which f increasing and decreasing
b) Find the local minimum and the local maximum.
5. An airline flies 120,000 passengers per week to Florida when charging $100 per ticket.
If estimates that for each $1 increase in price it will lose 400 passengers, by how much
should the fare be increased to maximize the total revenue?
2
Transcribed Image Text:d) f(x) = e) f(x) = xe²*r 2. Find the absolute minimum and the absolute maximum of the function f(x) = x* - 4x³ + 5 on the interval [1, 4] 3. You are not allowed to use the graphing calculator 3 For the given equation f(x) = x* + a2 - 6x + 10 a) Find the intervals on which f is concave up and concave down b) Find the inflection points. 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 + 24x + 2 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 + 9x -2 a) Find the intervals on which f increasing and decreasing b) Find the local minimum and the local maximum. 5. An airline flies 120,000 passengers per week to Florida when charging $100 per ticket. If estimates that for each $1 increase in price it will lose 400 passengers, by how much should the fare be increased to maximize the total revenue? 2
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