Assuming That the Equations Define X and Y Implicitly as Differentiable

question 220

Multiple Choice

Assuming that the equations define x and y implicitly as differentiable functions x = f(t) , y = g(t) , find the slope of the curve x = f(t) , y = g(t) at the given value of t.
- $x \cos t + x = 2 t , y = t \sin t + t , t = \frac { \pi } { 2 }$

• A) 2
• B) \(\frac { 1 } { 1 + \pi }\)
• C) \(2 + \pi\)
• D) \(\frac { 2 } { 2 + \pi }\)

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Definitions:

Diseconomies of Scale

A situation where, as a firm becomes larger, its costs per unit increase due to inefficiencies that arise from its growth.

Constant Costs

The costs that remain unchanged as the level of output or production increases or decreases.

AVC Curve

A graphical depiction of the average variable costs incurred by a firm in the short run, illustrating how costs vary with output levels.