PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER 6. [7/8 Points] DETAILS MY NOTES TANAPCALCBR10 4.2.098. Google's Revenue The revenue for a certain corporation from 2004 (t = 0) through 2008 (t = 4) is approximated by the function R(t) = −0.2t³ + 1.52t² + 1.21t + 3.6 (0 ≤ t≤ 4) where R(t) is measured in billions of dollars. (a) Find R'(t) and R"(t). R'(t) = -0.6² + 3.04t+1.21 R"(t) = -1.2t+3.04 Awesome! Terrific! (b) Show that R'(t) > 0 for all t in the interval (0, 4) and interpret your result. Hint: Use the quadratic formula. (Enter all real number answers, whether or not they fall inside the defined interval. Round your answers to three Setting R'(t) = 0 and solving for t gives t = -2.748, - 7.814 × decimal places. Enter your answers as a comma-separated list.) Both roots lie outside the interval (0, 4). Because R'(0) > 0, we conclude that R'(t) > O for all t in (0, 4). (c) Find the inflection point of the graph of R. (Round your answer to two decimal places.) t = 2.53 Great work! Interpret your result. The corporation's revenue was always decreasing between 2004 and 2008, and decreased fastest in July 2006. The corporation's revenue went was increasing from the start of 2004 until July 2006, and decreasing from that point until the end of 2008. The corporation's revenue was always increasing between 2004 and 2008, and increased fastest in July 2006. The corporation's revenue has been stable from the start of 2004 through to the end of 2008. The corporation's revenue went was decreasing from the start of 2004 until July 2006, and increasing from that point until the end of 2008. Good work!
PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER 6. [7/8 Points] DETAILS MY NOTES TANAPCALCBR10 4.2.098. Google's Revenue The revenue for a certain corporation from 2004 (t = 0) through 2008 (t = 4) is approximated by the function R(t) = −0.2t³ + 1.52t² + 1.21t + 3.6 (0 ≤ t≤ 4) where R(t) is measured in billions of dollars. (a) Find R'(t) and R"(t). R'(t) = -0.6² + 3.04t+1.21 R"(t) = -1.2t+3.04 Awesome! Terrific! (b) Show that R'(t) > 0 for all t in the interval (0, 4) and interpret your result. Hint: Use the quadratic formula. (Enter all real number answers, whether or not they fall inside the defined interval. Round your answers to three Setting R'(t) = 0 and solving for t gives t = -2.748, - 7.814 × decimal places. Enter your answers as a comma-separated list.) Both roots lie outside the interval (0, 4). Because R'(0) > 0, we conclude that R'(t) > O for all t in (0, 4). (c) Find the inflection point of the graph of R. (Round your answer to two decimal places.) t = 2.53 Great work! Interpret your result. The corporation's revenue was always decreasing between 2004 and 2008, and decreased fastest in July 2006. The corporation's revenue went was increasing from the start of 2004 until July 2006, and decreasing from that point until the end of 2008. The corporation's revenue was always increasing between 2004 and 2008, and increased fastest in July 2006. The corporation's revenue has been stable from the start of 2004 through to the end of 2008. The corporation's revenue went was decreasing from the start of 2004 until July 2006, and increasing from that point until the end of 2008. Good work!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
Related questions
Question
solve for b
![PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
6. [7/8 Points]
DETAILS
MY NOTES
TANAPCALCBR10 4.2.098.
Google's Revenue The revenue for a certain corporation from 2004 (t = 0) through 2008 (t = 4) is approximated by the function
R(t) = −0.2t³ + 1.52t² + 1.21t + 3.6
(0 ≤ t≤ 4)
where R(t) is measured in billions of dollars.
(a) Find R'(t) and R"(t).
R'(t) = -0.6² + 3.04t+1.21
R"(t) =
-1.2t+3.04
Awesome!
Terrific!
(b) Show that R'(t) > 0 for all t in the interval (0, 4) and interpret your result. Hint: Use the quadratic formula.
(Enter all real number answers, whether or not they fall inside the defined interval. Round your answers to three
Setting R'(t) = 0 and solving for t gives t = -2.748, - 7.814 ×
decimal places. Enter your answers as a comma-separated list.)
Both roots lie outside
the interval (0, 4). Because R'(0) >
0, we conclude that R'(t) >
O for all t in (0, 4).
(c) Find the inflection point of the graph of R. (Round your answer to two decimal places.)
t = 2.53
Great work!
Interpret your result.
The corporation's revenue was always decreasing between 2004 and 2008, and decreased fastest in July 2006.
The corporation's revenue went was increasing from the start of 2004 until July 2006, and decreasing from that point until the end of
2008.
The corporation's revenue was always increasing between 2004 and 2008, and increased fastest in July 2006.
The corporation's revenue has been stable from the start of 2004 through to the end of 2008.
The corporation's revenue went was decreasing from the start of 2004 until July 2006, and increasing from that point until the end of
2008.
Good work!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0aafe4d-d53d-4245-bfd6-73a95d183b3c%2F42594c96-ae8e-4432-a786-4f47ff70bdab%2Fap4osqk_processed.png&w=3840&q=75)
Transcribed Image Text:PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
6. [7/8 Points]
DETAILS
MY NOTES
TANAPCALCBR10 4.2.098.
Google's Revenue The revenue for a certain corporation from 2004 (t = 0) through 2008 (t = 4) is approximated by the function
R(t) = −0.2t³ + 1.52t² + 1.21t + 3.6
(0 ≤ t≤ 4)
where R(t) is measured in billions of dollars.
(a) Find R'(t) and R"(t).
R'(t) = -0.6² + 3.04t+1.21
R"(t) =
-1.2t+3.04
Awesome!
Terrific!
(b) Show that R'(t) > 0 for all t in the interval (0, 4) and interpret your result. Hint: Use the quadratic formula.
(Enter all real number answers, whether or not they fall inside the defined interval. Round your answers to three
Setting R'(t) = 0 and solving for t gives t = -2.748, - 7.814 ×
decimal places. Enter your answers as a comma-separated list.)
Both roots lie outside
the interval (0, 4). Because R'(0) >
0, we conclude that R'(t) >
O for all t in (0, 4).
(c) Find the inflection point of the graph of R. (Round your answer to two decimal places.)
t = 2.53
Great work!
Interpret your result.
The corporation's revenue was always decreasing between 2004 and 2008, and decreased fastest in July 2006.
The corporation's revenue went was increasing from the start of 2004 until July 2006, and decreasing from that point until the end of
2008.
The corporation's revenue was always increasing between 2004 and 2008, and increased fastest in July 2006.
The corporation's revenue has been stable from the start of 2004 through to the end of 2008.
The corporation's revenue went was decreasing from the start of 2004 until July 2006, and increasing from that point until the end of
2008.
Good work!
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