Rumors of a Run on a Bank The graph of the function f shows the total deposits with a bank t days after rumors abounded that there was a run on the bank due to heavy loan losses incurred by the bank. y=fun sign of f(t)on (₂3) O positive 1₂ (a) Determine the signs of f(t) on the intervals (0, ₂) and (₂ t), and determine the signs of f(t) on the intervals (0, ₂) and (...) sign of f(t) on (0,5₂) O positive O negative O negative sign of (t) on (0, ₂) O positive O negative sign of f(t)on (₁.₂) O positive O negative 13 (b) Find where the inflection point(s) off occur. Ⓒ (₁₂.1₂)) Ⓒ (₂.₂)) and (₂9(8₂)) Ⓒ (E₂. Rtg)) 0 (₁₂. RE₂)) O (₂₂)) and (₂. f(t)) (c) Interpret the results of parts (a) and (b). O Total deposits were initially decre faster and faster. At time t, the rate of decrease reached its peak and began to lessen. At time t, deposits reached their lowest total and began to rebound. O Total deposits were initially increasing at a lessening rate. At time t, deposits reached their highest total and began to fall. O Total deposits were initially increasing faster and faster. At time t, the rate of increase reached its peak and began to lessen. At time to deposits reached their highest total and began to fall. O Total deposits were initially decreasing at a lessening rate. At time t₂, deposits reached their lowest total and began to rebound.
Rumors of a Run on a Bank The graph of the function f shows the total deposits with a bank t days after rumors abounded that there was a run on the bank due to heavy loan losses incurred by the bank. y=fun sign of f(t)on (₂3) O positive 1₂ (a) Determine the signs of f(t) on the intervals (0, ₂) and (₂ t), and determine the signs of f(t) on the intervals (0, ₂) and (...) sign of f(t) on (0,5₂) O positive O negative O negative sign of (t) on (0, ₂) O positive O negative sign of f(t)on (₁.₂) O positive O negative 13 (b) Find where the inflection point(s) off occur. Ⓒ (₁₂.1₂)) Ⓒ (₂.₂)) and (₂9(8₂)) Ⓒ (E₂. Rtg)) 0 (₁₂. RE₂)) O (₂₂)) and (₂. f(t)) (c) Interpret the results of parts (a) and (b). O Total deposits were initially decre faster and faster. At time t, the rate of decrease reached its peak and began to lessen. At time t, deposits reached their lowest total and began to rebound. O Total deposits were initially increasing at a lessening rate. At time t, deposits reached their highest total and began to fall. O Total deposits were initially increasing faster and faster. At time t, the rate of increase reached its peak and began to lessen. At time to deposits reached their highest total and began to fall. O Total deposits were initially decreasing at a lessening rate. At time t₂, deposits reached their lowest total and began to rebound.
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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Question
Ecx 4.2 q4
Transcribed Image Text:Rumors of a Run on a Bank The graph of the function f shows the total deposits with a bank t days after rumors abounded that there was a run on the bank due to heavy loan losses incurred by the bank.
y=f(t)
1₂
sign of f(t) on (tts)
O positive
O negative
sign of f(t) on (0, ₂)
O positive
O negative
sign of f(t) on (t. ₂)
O positive
O negative
(a) Determine the signs of f(t) on the intervals (0, ₂) and (₂, 3), and determine the signs of f"(t) on the intervals (0, ₂) and (t₁, tz).
sign of f(t) on (0, ₂)
O positive
O negative
13
(b) Find where the inflection point(s) of foccur.
O (F₂RE₂))
O (₁.₂)) and (t₂ (₂))
0 (t. 1(₂))
0 (t₂ (²₂))
O (₂₂)) and ((z))
(c) Interpret the results of parts (a) and (b).
O Total deposits were initially decreasing faster and faster. At time t, the rate of decrease reached its peak and began to lessen. At time t, deposits reached their lowest total and began to rebound.
O Total deposits were initially increasing at a lessening rate. At time t₂, deposits reached their highest total and began fall.
O Total deposits were initially increasing faster and faster. At time t,, the rate of increase reached its peak and began to lessen. At time t, deposits reached their highest total and began to fall.
O Total deposits were initially decreasing at a lessening rate. At time t₂, deposits reached their lowest total and began to rebound.
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