The exponential function N= 3.93 x 1.340 gives the approximate U.S. population, in millions, d decades after 1790. (The formula is valid only up to 1860.) (a) What is the yearly growth factor? (Round your answer to two decimal places.) Find a formula that gives the population y years after 1790. N = (b) What is the century growth factor? (Round your answer to two decimal places.) Find a formula that gives the U.S. population c centuries after 1790. (Assume that the original formula is valid over several centuries.) N =
The exponential function N= 3.93 x 1.340 gives the approximate U.S. population, in millions, d decades after 1790. (The formula is valid only up to 1860.) (a) What is the yearly growth factor? (Round your answer to two decimal places.) Find a formula that gives the population y years after 1790. N = (b) What is the century growth factor? (Round your answer to two decimal places.) Find a formula that gives the U.S. population c centuries after 1790. (Assume that the original formula is valid over several centuries.) N =
Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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![### Exponential Function for U.S. Population Growth
The exponential function \( N = 3.93 \times 1.34^d \) gives the approximate U.S. population, in millions, \( d \) decades after 1790. (The formula is valid only up to 1860.)
#### (a) Yearly Growth Factor
What is the yearly growth factor? (Round your answer to two decimal places.)
\[ \text{Yearly Growth Factor:} \]
\[ \boxed{\phantom{Yearly\ Growth\ Factor}} \]
Find a formula that gives the population \( y \) years after 1790.
\[ N = \boxed{\phantom{N\ =\ }} \]
#### (b) Century Growth Factor
What is the century growth factor? (Round your answer to two decimal places.)
\[ \text{Century Growth Factor:} \]
\[ \boxed{\phantom{Century\ Growth\ Factor}} \]
Find a formula that gives the U.S. population \( c \) centuries after 1790. (Assume that the original formula is valid over several centuries.)
\[ N = \boxed{\phantom{N\ =\ }} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d91cf51-36b6-472d-8082-aa48d6da434d%2F4f96fb6f-bd26-4fbd-8238-54dcab3c0ce8%2Fxzxxkg_processed.png&w=3840&q=75)
Transcribed Image Text:### Exponential Function for U.S. Population Growth
The exponential function \( N = 3.93 \times 1.34^d \) gives the approximate U.S. population, in millions, \( d \) decades after 1790. (The formula is valid only up to 1860.)
#### (a) Yearly Growth Factor
What is the yearly growth factor? (Round your answer to two decimal places.)
\[ \text{Yearly Growth Factor:} \]
\[ \boxed{\phantom{Yearly\ Growth\ Factor}} \]
Find a formula that gives the population \( y \) years after 1790.
\[ N = \boxed{\phantom{N\ =\ }} \]
#### (b) Century Growth Factor
What is the century growth factor? (Round your answer to two decimal places.)
\[ \text{Century Growth Factor:} \]
\[ \boxed{\phantom{Century\ Growth\ Factor}} \]
Find a formula that gives the U.S. population \( c \) centuries after 1790. (Assume that the original formula is valid over several centuries.)
\[ N = \boxed{\phantom{N\ =\ }} \]
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