Calculate the Work Done by the Force Field When a Particle Moves Under Its Influence Around the Edge

question 132

Short Answer

Calculate the work done by the force field $\mathbf { F } ( x , y , z ) = \left( x ^ { 2 } + 10 z ^ { 2 } \right) \mathbf { i } + \left( y ^ { 2 } + 14 x ^ { 2 } \right) \mathbf { j } + \left( z ^ { 2 } + 12 y ^ { 2 } \right) \mathbf { k }$ when a particle moves under its influence around the edge of the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ that lies in the first octant, in a counterclockwise direction as viewed from above.

---

Definitions:

Depreciation

An accounting method of allocating the cost of a tangible or physical asset over its useful life to account for declines in value.

Earnings Before Interest And Taxes

A gauge of corporate profit that disregards expenses related to interest and income tax.

OCF

Operating Cash Flow, which is the cash generated from normal business operations, indicating a company's ability to generate sufficient positive cash flow to maintain and grow its operations.

Depreciation

Depreciation is the accounting process of allocating the cost of a tangible asset over its useful life, reflecting the decrease in value over time.