Given $\operatorname { curl } { \vec { F } } = 10 x y z \vec { i } + \left( a y ^ { 2 } z + 2 b y z \right) \vec { j } - 4 z ^ { 2 } \vec { k }$

question 12

Essay

Given $\operatorname { curl } { \vec { F } } = 10 x y z \vec { i } + \left( a y ^ { 2 } z + 2 b y z \right) \vec { j } - 4 z ^ { 2 } \vec { k }$ , find the values of the constants a and b, without knowing the expression of $\vec { F }$ .

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Definitions:

Cost of Merchandise Sold

The direct costs attributable to the goods sold by a company, including purchase price, freight, storage, and packaging.

Inventories

Assets held for sale in the ordinary course of business, or in the process of production for such sale, or in the form of materials or supplies to be consumed in the production process.

Cash Payment

Money that is paid out by a business, often documented by a cash disbursement journal.

Direct Method

An approach to reporting cash flows from operating activities which lists major classes of gross cash receipts and payments.