Use technology to produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Round your answers to two decimal places.) f(x) = 4x4 - 32x³ + 89x² - 95x + 20 Find the interval(s) of increase. (Enter your answer using interval notation.) 7-√11 5 4 2 11 4 Find the interval(s) of decrease. (Enter your answer using interval notation.) 5 7+ √11 2' 4 7+√11 4 smaller x-value Find the inflection points of the function. (x, y) = larger x-value ∞ (x, y) = 1.45993827, 10.40169751 24-√42 24+ 42 12 12 2.54006172,- 5.00108026 ) Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) (24 + √5,00) 42 12 X Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
Use technology to produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Round your answers to two decimal places.) f(x) = 4x4 - 32x³ + 89x² - 95x + 20 Find the interval(s) of increase. (Enter your answer using interval notation.) 7-√11 5 4 2 11 4 Find the interval(s) of decrease. (Enter your answer using interval notation.) 5 7+ √11 2' 4 7+√11 4 smaller x-value Find the inflection points of the function. (x, y) = larger x-value ∞ (x, y) = 1.45993827, 10.40169751 24-√42 24+ 42 12 12 2.54006172,- 5.00108026 ) Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) (24 + √5,00) 42 12 X Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use technology to produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the following. (Round your answers to two decimal places.)
f(x) = 4x4 - 32x3 + 89x² - 95x + 20
Find the interval(s) of increase. (Enter your answer using interval notation.)
7-√11 5
4
7+√ 11
4
2
3
Find the interval(s) of decrease. (Enter your answer using interval notation.)
5 7+√ 11
7-√ 11
4
2' 4
Find the inflection points of the function.
smaller x-value
larger x-value
(x, y) =
,00
(x, y) =
1.45993827, 10.40169751
2.54006172, 5.00108026
Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)
24+√ 42
12
X
Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
(24-√42² 24+42)
12
X
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