Use Stoke's Theorem to Evaluate $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$

question 90

Multiple Choice

Use Stoke's theorem to evaluate $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ where $\mathbf { F } ( x , y , z ) = e ^ { - 7 x } \mathbf { i } + e ^ { 4 y } \mathbf { j } + e ^ { 5 x } \mathbf { k }$ and C is the boundary of the part of the plane $8 x + y + 8 z = 8$ in the first octant.

• A) 69
• B) 16
• C) 49
• D) 0
• E) 23

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Stand-Alone Locations

Business sites that are physically separate and distinct from other buildings or businesses, often offering advantages like visibility and accessibility.

Wholesale Club

A retail store that sells a wide range of merchandise in bulk and at discounted rates, usually to members only.

Stand-Alone Locations

Specific sites chosen for businesses that operate independently of other firms, often sought after for their visibility and accessibility to customers.

Service Businesses

Companies that primarily sell intangible goods or services rather than physical objects, such as consultancy, repair, and maintenance firms.