Suppose that: The number of unemployed adults in the US decreased by 100, 000 during the month of January. The number of unemployed adults in the US decreased by 70, 000 during the month of February. • The number of unemployed adults in the US decreased by 40, 000 during the month of March. • The number of unemployed adults in the US decreased by 10,000 during the month of April. Let N(t) be the number of unemployed adults t month after the beginning of the year. (So t = 0 means Jan 1st, t = 1 means Feb 1st, t=2 means March 1st, etc.….). (a) What would N(t) looks like? Sketch a possible graph for N(t). N
Suppose that: The number of unemployed adults in the US decreased by 100, 000 during the month of January. The number of unemployed adults in the US decreased by 70, 000 during the month of February. • The number of unemployed adults in the US decreased by 40, 000 during the month of March. • The number of unemployed adults in the US decreased by 10,000 during the month of April. Let N(t) be the number of unemployed adults t month after the beginning of the year. (So t = 0 means Jan 1st, t = 1 means Feb 1st, t=2 means March 1st, etc.….). (a) What would N(t) looks like? Sketch a possible graph for N(t). N
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question
![6.
Suppose that:
• The number of unemployed adults in the US decreased by 100,000 during the month of January.
• The number of unemployed adults in the US decreased by 70,000 during the month of February.
• The number of unemployed adults in the US decreased by 40, 000 during the month of March.
• The number of unemployed adults in the US decreased by 10, 000 during the month of April.
Let N(t) be the number of unemployed adults t month after the beginning of the year.
(So t = 0 means Jan 1st, t = 1 means Feb 1st, t=2 means March 1st, etc...).
(a) What would N(t) looks like? Sketch a possible graph for N(t).
N
0 1 2
3
4
(b) True or False?
Remark: For this question to make sense we need to make the additional assumption that N(t) is smooth (no sharp corner on the
graph) and that N(t), N'(t) and N"(t) do not change sign on the interval (0,4].
• N(t) is positive on the interval [0,4] True
• N'(t) is positive on the interval [0,4]
N"(t) is positive on the interval (0,4]
• N(t) is increasing on the interval [0,4]
• N'(t) is increasing on the interval (0,4] True
False
True
False
True
False
True
False
False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf25df66-d0f4-4fec-a815-398aca8ccab8%2F357b9bc8-1a9c-4144-b960-dc7e487cedbc%2Fr0mk1bw_processed.png&w=3840&q=75)
Transcribed Image Text:6.
Suppose that:
• The number of unemployed adults in the US decreased by 100,000 during the month of January.
• The number of unemployed adults in the US decreased by 70,000 during the month of February.
• The number of unemployed adults in the US decreased by 40, 000 during the month of March.
• The number of unemployed adults in the US decreased by 10, 000 during the month of April.
Let N(t) be the number of unemployed adults t month after the beginning of the year.
(So t = 0 means Jan 1st, t = 1 means Feb 1st, t=2 means March 1st, etc...).
(a) What would N(t) looks like? Sketch a possible graph for N(t).
N
0 1 2
3
4
(b) True or False?
Remark: For this question to make sense we need to make the additional assumption that N(t) is smooth (no sharp corner on the
graph) and that N(t), N'(t) and N"(t) do not change sign on the interval (0,4].
• N(t) is positive on the interval [0,4] True
• N'(t) is positive on the interval [0,4]
N"(t) is positive on the interval (0,4]
• N(t) is increasing on the interval [0,4]
• N'(t) is increasing on the interval (0,4] True
False
True
False
True
False
True
False
False
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