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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*, a"). 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.

4. Consider the curve with equation y = x* as shown in the diagram. A tangent line meets the curve at the point A(a*, a"). 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.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 31E: Suppose that the circle with center 0, 0 and radius length r contains the point a,b. Find the slope...
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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*, a"). 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*, a"). 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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