Find the Value of the Laplacian $\nabla ^ { 2 } f \text { of } f ( x , y , z ) = z \left( x ^ { 2 } + y ^ { 3 } \right)$

question 153

Multiple Choice

Find the value of the Laplacian $\nabla ^ { 2 } f \text { of } f ( x , y , z ) = z \left( x ^ { 2 } + y ^ { 3 } \right)$ at the point $( 1,2,3 )$

• A)\(24\)
• B)\(30\)
• C)\(36\)
• D)\(42\)
• E)\(48\)
• F)\(54\)
• G)\(60\)
• H)\(66\)

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Definitions:

Explicit Costs

Direct, out-of-pocket payments made by firms for the use of inputs and resources in the production process.

Implicit Costs

Costs that represent the opportunity cost of using resources owned by the firm for its own production instead of earning income elsewhere.

Accounting Profit

The net income reported on the financial statements, calculated as total revenues minus explicit costs.

Economic Profit

The difference between the total revenue generated by a business and the total costs, including both explicit and implicit costs.