Find the Area of the Region Bounded by the Parabola $y = x ^ { 2 }$

question 22

Multiple Choice

Find the area of the region bounded by the parabola $y = x ^ { 2 }$ , the tangent line to this parabola at $( 3,9 )$ , and the $x$ axis.

• A) \(\frac { 2 } { 3 }\)
• B) \(3 \frac { 1 } { 3 }\)
• C) \(47 \frac { 2 } { 3 }\)
• D) \(\frac { 9 } { 4 }\)
• E) \(27 \frac { 2 } { 3 }\)

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