This under subject of Linear Algebra and Vector Analysis Verify Stokes's Theorem for F = (z − y)î + (x − z)j + (x − y)k and S: z = √1 – x² — y².Assume outward normal.

Given : z=1-x2-y2 F ⇀ =z-yi^+x -zj^ +x-yk^ Verify : Stokes's Theorem

Answered: Verify Stokes's Theorem for F = (z −…

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Verify Stokes's Theorem for F = (z − y)î + (x − z)j + (x − y)k and S: z = √1 – x² — y². Assume outward normal.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 2E: Evaluate dzusing the given information. z=5x3+2xy24y;x=1,y=3,dx=0.01,dy=0.02.

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Question

This under subject of Linear Algebra and Vector Analysis

Verify Stokes's Theorem for F = (z − y)î + (x − z)j + (x − y)k and S: z = √1 – x² — y².
Assume outward normal.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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