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Engineering Entrance Exams

The area between the parabola y2 = 16x and the line y = x is ___________. a) 3 442 b) 3 421 c) 3 128 d) 3 256

Profile image of Madhukar Anand
12 Years agoGrade
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2 Answers

Profile image of Saurabh Koranglekar
6 Years ago
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Profile image of Vikas TU
6 Years ago
You already know that  y2=16x  is a parabola, and that’s obviously symmetrical above and below the  x -axis. Then calculate the enclosed area above the  x -axis (and multiply by  2 ).
Express the given relation as a function giving  y  for  x . Find the points of intersection of the function and  x=4 .
Now you can write the area you need as a definite integral.

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