Let f(x, y) = e-2x+4y"-4y_ Use the Second Partials Test to %3D determine which of the following is true. o a) f(x, y) has a saddle point at o b) f(x, y) has a relative minimum at (0, (a.). f(x, y) does not have a critical point at (0, o d) f(x, y) has a relative maximum at (0,

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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Let f(x, y) = e-2x+4y-4y_ Use the Second Partials Test to
determine which of the following is true.
o a)
f(x, y) has a saddle point at
o b)
f(x, y) has a relative minimum at (0,
(0.5),
f(x, y) does not have a critical point at (0,
o d)
f(x, y) has a relative maximum at
(0.).
Transcribed Image Text:Let f(x, y) = e-2x+4y-4y_ Use the Second Partials Test to determine which of the following is true. o a) f(x, y) has a saddle point at o b) f(x, y) has a relative minimum at (0, (0.5), f(x, y) does not have a critical point at (0, o d) f(x, y) has a relative maximum at (0.).
Colonel Mustard invested $5, 000.00 in Risky Ventures
stock. Due to recent fluctuating stock market trends, he
checked on the current value of his investment. He found
that today, 3 years after he made the initial investment, the
value of his stock is $4, 500.00. Assuming continuous
exponential decay, if he keeps his money invested in Risky
Ventures stock, what will his investment be worth 1.5 years
from today?
O a)
$4, 121.75
o b)
$4, 269.07
c)
$3,910.23
d)
$4,050.00
Transcribed Image Text:Colonel Mustard invested $5, 000.00 in Risky Ventures stock. Due to recent fluctuating stock market trends, he checked on the current value of his investment. He found that today, 3 years after he made the initial investment, the value of his stock is $4, 500.00. Assuming continuous exponential decay, if he keeps his money invested in Risky Ventures stock, what will his investment be worth 1.5 years from today? O a) $4, 121.75 o b) $4, 269.07 c) $3,910.23 d) $4,050.00
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