Needed to be solved both question correctly in 1 hour and get the thumbs up please show me neat and clean work for itBy hand solution neededIf you did one I will not give you thumb's upPlease do both questios in the order to get positive feedback 3. Consider the surface defined by z = f(x, y), where:x²y2(x² + y²)f(x, y) =Write down the equation of the tangent planes to the surface f(x, y) at the points(a) x = 1, y = -1(b) x = 2, y = 2(All steps in the calculations must be clearly shown.)4. Consider the surface defined by z = f(x, y), wheref(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)

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3. Consider the surface defined by z = f(x, y), where: x²y 2(x² + y²) Write down the equation of the tangent planes to the surface f(x, y) at the points (a) x = 1, y = -1 (b) x = 2, y = 2 (All steps in the calculations must be clearly shown.) f(x, y) = 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)

3. Consider the surface defined by z = f(x, y), where: x²y 2(x² + y²) Write down the equation of the tangent planes to the surface f(x, y) at the points (a) x = 1, y = -1 (b) x = 2, y = 2 (All steps in the calculations must be clearly shown.) f(x, y) = 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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