Find an Equation for the Line Tangent to the Curve $$\mathrm { x } = \mathrm { t } , \mathrm { y } = \sqrt { 2 \mathrm { t } } , \mathrm { t } = 18$$

question 269

Multiple Choice

Find an equation for the line tangent to the curve at the point defined by the given value of t.
- $$\mathrm { x } = \mathrm { t } , \mathrm { y } = \sqrt { 2 \mathrm { t } } , \mathrm { t } = 18$$

• A) \(y = \frac { 1 } { 6 } x\)
• B) \(y = - \frac { 1 } { 6 } x - 3\)
• C) \(y = \frac { 1 } { 6 } x + 3\)
• D) \(y = - \frac { 1 } { 6 } x\)

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Definitions:

Pressure Multiplied

A phenomenon in hydraulic systems where force is increased through the use of fluid dynamics and varying cross-sectional areas.

Area

A measure of the extent of a two-dimensional surface or shape, expressed in square units.

Atmospheric Pressure

The pressure exerted by the weight of the atmosphere above a point, affecting weather patterns and boiling temperatures of liquids.

Sea Level

The average height of the ocean's surface between high and low tide; used as a standard base for measuring elevations.