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Find the Number B Such That the Line y=by=b Divides the Region Bounded by the Curves

Question 43

Multiple Choice

Find the number b such that the line y=by=b divides the region bounded by the curves y=x2y=x^{2} and y=5y=5 into two regions with equal area.


A) 51/25^{1 / 2}
B) 52/35^{2 / 3}
C) 23\frac{2}{3}
D) 51/35^{1 / 3}
E) 13\frac{1}{3}

Correct Answer:

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