Which of the following integrals represents the area of the region bounded by th

Question

Which of the following integrals represents the area of the region bounded by the curves, y = 3x, x + y = 8, y = x - 4, in terms of x? a) https://assessment.casa.uh.edu/Assessment/Images//2086297.gif b) https://assessment.casa.uh.edu/Assessment/Images//2086298.gif c) https://assessment.casa.uh.edu/Assessment/Images//2086299.gif d) https://assessment.casa.uh.edu/Assessment/Images//2086300.gif e) https://assessment.casa.uh.edu/Assessment/Images//2086301.gif Which of the following integrals represents the area of the region bounded by the curves y = 3x3 and y = 3x2in terms of y? a) https://assessment.casa.uh.edu/Assessment/Images//2086367.gif b) https://assessment.casa.uh.edu/Assessment/Images//2086368.gif c) https://assessment.casa.uh.edu/Assessment/Images//2086369.gif d) https://assessment.casa.uh.edu/Assessment/Images//2086370.gif e) https://assessment.casa.uh.edu/Assessment/Images//2086371.gif Which of the following integrals represents the area of the region bounded by the curves, y = -5x1/2 , y = x - 6, and y = 0, in terms of y? a) https://assessment.casa.uh.edu/Assessment/Images//2086422.gif b) https://assessment.casa.uh.edu/Assessment/Images//2086423.gif c) https://assessment.casa.uh.edu/Assessment/Images//2086424.gif d) https://assessment.casa.uh.edu/Assessment/Images//2086425.gif e) https://assessment.casa.uh.edu/Assessment/Images//2086426.gif PLEASEEEEEEEEEEEEE SHOW WORK! THANK YOUU!! WILL RATEEE!!!!!!!!! :)

Explanation / Answer

1. D 2. A y=3x, y= 8-x, y=x-4 for intersection points, x1=-2 and x2=2 and x3=6 now y=8-x-3x then area= int_8-4x dx from -2 to 2 and 8-x-(x-4) = 12-2x then area = int_12-2x from 2 to 6

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