Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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**Problem Context** Find equations for (a) the tangent plane and (b) the normal line at the point \( P_0(7,0,7) \) on the surface \( 7z - x^2 = 0 \). --- **Question** (a) Which equation describes the tangent plane? - **A.** \( 2x - z - 7 = 0 \) - **B.** \( 2x - y - 7 = 0 \) - **C.** \( 14x + 7z - 7 = 0 \) - **D.** \( 14x + 7y - 7 = 0 \) --- **Explanation**: This problem involves determining the correct equation of the tangent plane to the given surface at a specific point. The surface is defined by the equation \( 7z - x^2 = 0 \). At point \( P_0(7,0,7) \), you need to calculate which option represents the tangent plane to this surface. There are no graphs or diagrams included in this problem.
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Transcribed Image Text:**Problem Context** Find equations for (a) the tangent plane and (b) the normal line at the point \( P_0(7,0,7) \) on the surface \( 7z - x^2 = 0 \). --- **Question** (a) Which equation describes the tangent plane? - **A.** \( 2x - z - 7 = 0 \) - **B.** \( 2x - y - 7 = 0 \) - **C.** \( 14x + 7z - 7 = 0 \) - **D.** \( 14x + 7y - 7 = 0 \) --- **Explanation**: This problem involves determining the correct equation of the tangent plane to the given surface at a specific point. The surface is defined by the equation \( 7z - x^2 = 0 \). At point \( P_0(7,0,7) \), you need to calculate which option represents the tangent plane to this surface. There are no graphs or diagrams included in this problem.
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Step 1: Given

Consider the surface 

7 z minus x squared equals 0

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