Which of the following regions have the same area?I. The region enclosed by the curve y = |x2 − 1|, the lines x = 0 and x = 2, and the x-axis.II. The region enclosed by the curve y=x3- 4x2+6x and its tangent line at the point x = 1.III. The region enclosed by the curves x2 = 4y and y =8/(x2 + 4).IV. The region enclosed by the curve y = x*ln(x) and the line y = x2.V. The region between the curve y =1√x, x-axis, and the lines x = 1 and x=4.Which one of the following answer is true?(a) I, II, III(b) I, V(c) II, III, IV(d) II, IV(e) III, IV

Part (1):- Given curves are y=x2-1, the lines x =0 and x=2 and the x-axis. Area = ∫01 -x2-1dx +∫12…

Answered: Which of the following regions have the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Which of the following regions have the same area?
I. The region enclosed by the curve y = |x² − 1|, the lines x = 0 and x = 2, and the x-axis.
II. The region enclosed by the curve y=x³- 4x²+6x and its tangent line at the point x = 1.
III. The region enclosed by the curves x² = 4y and y =8/(x² + 4).
IV. The region enclosed by the curve y = x*ln(x) and the line y = x²^.
V. The region between the curve y =1√x, x-axis, and the lines x = 1 and x=4.

Which one of the following answer is true?

(a) I, II, III
(b) I, V
(c) II, III, IV
(d) II, IV
(e) III, IV

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