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0 X MC Financial Aid - montgomery X 5 Account Summary by Term X Bb Course Content - 202220 - [ X VA Section 6.1 Exercises' Fall 20 X Chegg Search X Homework Help - Q&A fron X + C webassign.net/web/Student/Assignment-Responses/last?dep=27942528 Z Apps MC MyMC Login (80) YouTube History t Evaluate the defini.. M Gmail YouTube Translate Cengage Single Sig... Home - Credo Refe.. Health Coverage Af... Google Docs Reading list EXAMPLE 6 Find the area enclosed by the line y = x - 4 and the parabola y' = 2x + 40. (Give your answers .6 correct to three significant figures.) -4 SOLUTION By solving the two equations we find that the points of intersection are (-2, -2 ) and (12, ). We solve the equation of the parabola for x and notice from the figure that the left and right boundary curves are -20 -15 -10 -5 10 XL = _ y- - 20 2 XR = y+4 Video Example () We must integrate between the appropriate y-values, y = -6 and 8. Thus A= (XR - XL) dy =[.[(Y + 4) - 1 )]dy )dy 18 6 + 32 + 192 - ( + 18 - 144) 11 1I Need Help? Read It0 X MC Financial Aid - montgomery X 5 Account Summary by Term X Bb Course Content - 202220 - [ X VA Section 6.1 Exercises' Fall 20 X Chegg Search X *Homework Help - Q&A fron X + C webassign.net/web/Student/Assignment-Responses/last?dep=27942528 Z Apps MC MyMC Login (80) YouTube History t Evaluate the defini... M Gmail YouTube Translate Cengage Single Sig.. C Home - Credo Refe.. Health Coverage Af.. Google Docs > Reading list EXAMPLE 2 Find the area of the region enclosed by the parabolas y = 2x and y = 28x - 2x2. 98 SOLUTION We first find the points of intersection of the parabolas by solving their equations simultaneously. This gives 2x2 = 28x - 2x-, or 4x - 28x = 0. Thus 4x(X - ) = 0, So X = 0 or x = . The points of intersection are (0, 0) and ( We see from the figure that the top and bottom boundaries are YT = 28x - 2x2 YB = 2X2 Video Example () The area of the typical rectangle is ( YT - YB ) AX = ( JAX and the region lies between x = 0 and x = . So the total area is A = (28.1 - 4x? ) dx = 4 / (7x - x2) dx = 4( D = Need Help? Read It