Find equations for (a) the tangent plane and (b) the normal line at the point Po(1,2,2) on the surface x² + 3y² + 3z² = 25. (a) Which equation describes the tangent plane? O A. 5x + 3y + 3z=17 O B. x+6y + 6z = 25 OC. x+ 5y + 3z = 17 D. 9x + 3y + 5z = 25

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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.**

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**(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.
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.
Expert Solution
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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