A surface S is described parametrically by = h cos 0, y = h sin 0, z = a – h, (0 0 can be written in the form xi+yj k n = V2(x2 + y2)1/2 ' v2
A surface S is described parametrically by = h cos 0, y = h sin 0, z = a – h, (0 0 can be written in the form xi+yj k n = V2(x2 + y2)1/2 ' v2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:A surface S is described parametrically by
x = h cos 0,
y = h sin 0,
z = a – h, (0 <h< a, 0<0< 27),
where a is a positive constant.
(a) Express z as a function of x and y. Sketch the surface S. Is this an open or closed surface?
Is it convex?
(b) Show that the unit normal în to S which has în · k > 0 can be written in the form
xi+ yj
k
în
V2(x² + y²)1/2 ' V2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
