Find the Y-Intercept of the Tangent Line to the Curve $y = \sqrt { x + 3 }$

question 144

Multiple Choice

Find the y-intercept of the tangent line to the curve $y = \sqrt { x + 3 }$ at the point (1, 2) .

• A) \(\frac { 3 } { 4 }\)
• B) \(\frac { 7 } { 4 }\)
• C) \(\frac { 1 } { 4 }\)
• D)2
• E) \(\frac { 1 } { 2 }\)
• F)1
• G) \(\frac { 3 } { 2 }\)
• H) \(\frac { 5 } { 4 }\)

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Definitions:

Optimal Pace

Optimal pace refers to the most efficient or effective speed at which an activity or process can proceed to achieve the best outcomes without compromising quality.

Sequencing

The arrangement of events, actions, or items in a particular order.

Buildup of Resistance

The gradual increase in opposition or pushback against a particular idea, change, or directive.

Sense of Continuity

The perception or belief in the ongoing, uninterrupted existence or operation of something.