(a) Find a formula for the slope of the slice of the graph of f over the line & at point à (it should depend on the angle 0). (b) Which value of 0 makes the slope as large as possible? Which value of 0 makes the slope as small as possible?
(a) Find a formula for the slope of the slice of the graph of f over the line & at point à (it should depend on the angle 0). (b) Which value of 0 makes the slope as large as possible? Which value of 0 makes the slope as small as possible?
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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![Problem 6 Let f: R²R be the function given by the function
¹ ([:]) = ²²,
and let
ā=
3
and V=
cos(0)
sin (0)
Let & the line through a in the direction of v.
(a) Find a formula for the slope of the slice of the graph of f over the line l at point
à (it should depend on the angle 0).
(b) Which value of 0 makes the slope as large as possible? Which value of 0 makes
the slope as small as possible?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda1c3e88-9a5c-4e68-9367-a15e4fbc2f2c%2F2e94ce6c-b081-41b5-9b1a-175186f027e7%2Fhz1u0nl_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 6 Let f: R²R be the function given by the function
¹ ([:]) = ²²,
and let
ā=
3
and V=
cos(0)
sin (0)
Let & the line through a in the direction of v.
(a) Find a formula for the slope of the slice of the graph of f over the line l at point
à (it should depend on the angle 0).
(b) Which value of 0 makes the slope as large as possible? Which value of 0 makes
the slope as small as possible?
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