Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy) at the point (1,5). Give your answer as a unit vector. (sin(5) + 5 cos(5))i + cos(15) i √1+(5 cos(5))² + + 10 sin(5) - cos(5) x Invalid notation. syntax incomplete.
Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy) at the point (1,5). Give your answer as a unit vector. (sin(5) + 5 cos(5))i + cos(15) i √1+(5 cos(5))² + + 10 sin(5) - cos(5) x Invalid notation. syntax incomplete.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 63E
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![Find the direction in which the maximum rate of change occurs for the function
f(x, y) = 4x sin(xy) at the point (1,5). Give your answer as a unit vector.
(sin(5) + 5 cos(5))i + cos(15) i
1+ (5 cos (5))² + 10 sin(5) - cos (5)
x Invalid notation. syntax incomplete.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cb61c0a-0232-41b9-9ef8-97c3bbb8124a%2F46fc4586-582e-4f9e-b259-f525757290a4%2Fgxqwka_processed.png&w=3840&q=75)
Transcribed Image Text:Find the direction in which the maximum rate of change occurs for the function
f(x, y) = 4x sin(xy) at the point (1,5). Give your answer as a unit vector.
(sin(5) + 5 cos(5))i + cos(15) i
1+ (5 cos (5))² + 10 sin(5) - cos (5)
x Invalid notation. syntax incomplete.
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