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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

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

Grade:

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
576-1568_s.PNG
Vikas TU
14149 Points
one year 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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