Compute the Gradient of the Function at the Given Point $$f ( x , y ) = - 4 x ^ { 2 } + 6 y , \quad ( 4,3 )$$

question 312

Multiple Choice

Compute the gradient of the function at the given point.
- $$f ( x , y ) = - 4 x ^ { 2 } + 6 y , \quad ( 4,3 )$$

• A)\({\nabla} f = - 128 \mathrm { i } + 18 \mathbf { j }\)
• B) \({\nabla} f = - 64 \mathrm { i } + 18 \mathrm { j }\)
• C) \({\nabla} f = - 32 \mathrm { i } + 18 \mathbf { j }\)
• D) \({\nabla} f = - 32 i + 6 j\)

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Definitions:

ABC System

Stands for Activity-Based Costing system, a method of allocating overhead and indirect costs to specific products or services based on their consumption of resources.

Prime Cost

Direct materials plus direct labor costs.

Machine Hours

The total number of hours that machines are used or operated during a specific time period, often used as a basis for allocating manufacturing overhead.

Direct Labor Hour

A measure of the time spent by workers manufacturing a product or delivering a service.