Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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**Find equations for (a) the tangent plane and (b) the normal line at the point P₀(1,2,2) on the surface x² + 3y² + 3z² = 25.** --- **(a) Which equation describes the tangent plane?** - **A.** 5x + 3y + 3z = 17 - **B.** x + 6y + 6z = 25 - **C.** x + 5y + 3z = 17 - **D.** 9x + 3y + 5z = 25 *Instructions:* Select the correct equation from the options provided.
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Transcribed Image Text:**Find equations for (a) the tangent plane and (b) the normal line at the point P₀(1,2,2) on the surface x² + 3y² + 3z² = 25.** --- **(a) Which equation describes the tangent plane?** - **A.** 5x + 3y + 3z = 17 - **B.** x + 6y + 6z = 25 - **C.** x + 5y + 3z = 17 - **D.** 9x + 3y + 5z = 25 *Instructions:* Select the correct equation from the options provided.
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Step 1: Given surface equation and point

Given, surface is x squared plus 3 y squared plus 3 z squared equals 25, point is P subscript 0 left parenthesis 1 comma 2 comma 2 right parenthesis.


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