Find Parametric Equations for the Tangent Line to the Curve $x = 3 t$

question 36

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations $x = 3 t$ , $y = 5 t ^ { 2 } , z = 4 t ^ { 3 }$ at the point with $t = 1$ .

• A) \(x = 1 + 3 t , y = 1 + 10 t , z = 1 + 12 t\)
• B) \(x = 3 + 3 t , y = 5 + 10 t , z = 4 + 12 t\)
• C) \(x = 1 + 3 t , y = 1 + 5 t , z = 1 + 4 t\)
• D) \(x = 3 + 3 t , y = 5 + 5 t , z = 4 + 4 t\)

Analyze the cost structure of products and understand fixed and variable cost behaviors.

Understand the impact of production levels on income under different costing methods.

Calculate and interpret direct labor costs as part of product costing.

Understand the concepts of variable and absorption costing.

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Definitions:

Inelastic Portion

A segment of the demand curve where consumers are less sensitive to price changes, implying that the quantity demanded changes only slightly in response to large changes in price.

Elastic Portion

The segment of a demand or supply curve where a change in price leads to a more than proportional change in quantity demanded or supplied.

Marginal Cost Curve

A graphical representation showing how the cost of producing one more unit changes as production levels change.

MR Curve

Stands for Marginal Revenue Curve, which shows how the revenue changes with the sale of one additional unit of a product.