PART 1: MAXIMISING A FUNCTION Objective: Find the maximum value of f(x, y, z), where f(x, y, z) = esin(402) + esin(50) + sin(60e") + sin[70 sin(x)] + sin[70 cos(z)] x² + y² +2² + sin[sin (80y)] - sin[10(x + y)] + 4 Constraints: The solution must be subject to the (hard) constraints: -1 ≤ x, y, z ≤1 and x, y, z ER You should explain the approach taken, attaching any programming code that is used - provide comments to the code where appropriate.
PART 1: MAXIMISING A FUNCTION Objective: Find the maximum value of f(x, y, z), where f(x, y, z) = esin(402) + esin(50) + sin(60e") + sin[70 sin(x)] + sin[70 cos(z)] x² + y² +2² + sin[sin (80y)] - sin[10(x + y)] + 4 Constraints: The solution must be subject to the (hard) constraints: -1 ≤ x, y, z ≤1 and x, y, z ER You should explain the approach taken, attaching any programming code that is used - provide comments to the code where appropriate.
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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![PART 1: MAXIMISING A FUNCTION
Objective: Find the maximum value of f(x, y, z), where
f(x, y, z) esin(40z)
+ esin(50x)
=
+ sin(60e") + sin [70 sin(x)] + sin [70 cos(z)]
x² + y² + z²
4
+ sin[sin (80y)] - sin[10(x + y)] +
Constraints: The solution must be subject to the (hard) constraints:
-1 ≤ x, y, z ≤ 1 and
x, y, z ER
You should explain the approach taken, attaching any programming code that is used -
provide comments to the code where appropriate.
Equation in Python:
math.exp (math.sin(40*z)) + math.exp (math.sin(50*x)) + math.sin(60*math.exp(y))
+ math.sin(70*math.sin(x)) + math.sin(70*math.cos(z)) + math.sin(math.sin(80*y))
math.sin(10* (x+y)) + (x**2+y**2+z**2)/4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0a0eb44-0d82-4149-bd9e-63330869cded%2Fbaf4ccd8-f678-436d-87a6-b044f69b356b%2Fgremgx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PART 1: MAXIMISING A FUNCTION
Objective: Find the maximum value of f(x, y, z), where
f(x, y, z) esin(40z)
+ esin(50x)
=
+ sin(60e") + sin [70 sin(x)] + sin [70 cos(z)]
x² + y² + z²
4
+ sin[sin (80y)] - sin[10(x + y)] +
Constraints: The solution must be subject to the (hard) constraints:
-1 ≤ x, y, z ≤ 1 and
x, y, z ER
You should explain the approach taken, attaching any programming code that is used -
provide comments to the code where appropriate.
Equation in Python:
math.exp (math.sin(40*z)) + math.exp (math.sin(50*x)) + math.sin(60*math.exp(y))
+ math.sin(70*math.sin(x)) + math.sin(70*math.cos(z)) + math.sin(math.sin(80*y))
math.sin(10* (x+y)) + (x**2+y**2+z**2)/4
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