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Find the area of the region bounded by the parabola y = ax2, the tangent line to this parabola at (a, a3), and the x-axis. a) Find the equation of the tangent line to the parabola at ( a , a3 ) y = b) The tangent line to the parabola intersepts the x-axis at x = c) The area is =

Find the area of the region bounded by the parabola y = ax2, the tangent line to this parabola at (a, a3), and the x-axis. a) Find the equation of the tangent line to the parabola at ( a , a3 ) y = b) The tangent line to the parabola intersepts the x-axis at x = c) The area is =

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
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the area of the region bounded by the parabola y = ax2, the tangent line to this parabola at (a, a3), and the x-axis.
a) Find the equation of the tangent line to the parabola at ( a , a3 ) y = 

 
 
 


b) The tangent line to the parabola intersepts the x-axis at x = 

 
 
 


c) The area is = 

 
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