4. Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y-1)² + 4 (a) Draw the level curves of the function at c = 4, c = 8, c = 13. (b) Draw a rough sketch of the function. (No need to draw the level curves here)

4. Consider the surface defined by z = f(x, y), where f(x, y) = (x + 1)² + (y-1)² + 4 (a) Draw the level curves of the function at c = 4, c = 8, c = 13. (b) Draw a rough sketch of the function. (No need to draw the level curves here)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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By hand solution needed for Q4 Please write the answer correctly in 1 hour and get the thumbs up please show neat and clean work Please you must show work via by hand Thank

4. Consider the surface defined by z = f(x, y), where
f(x, y) = (x + 1)² + (y-1)² + 4
(a) Draw the level curves of the function at c = 4, c= 8, c = 13.
(b) Draw a rough sketch of the function. (No need to draw the level curves here)
5. Consider the parametric equation
x = 2 cost, y =
sin t
9
z = 1².
(a) Describe the curve in 3 dimensions and draw a rough sketch of it.
(b) Describe the behaviour of the curve as t increases.

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