(a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by the curve, the line y = 0, and the tangent line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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4. Consider the curve with equation y* = x° as shown in the diagram. A tangent line meets the
curve at the point A(a*, a5).
A(a*,a®)
(a) Find the equation of the tangent line at A.
(b) Find the area of the shaded region enclosed by the curve, the line y = 0, and the tangent
line.
Transcribed Image Text:4. Consider the curve with equation y* = x° as shown in the diagram. A tangent line meets the curve at the point A(a*, a5). A(a*,a®) (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by the curve, the line y = 0, and the tangent line.
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