Question B2: Suppose that is an angle between 0 and. Consider the shaded region in the figure to the right. Its boundary includes the x-axis, the y-axis, the line y = sin 0, and the unit circle (y = √1-x²). Determine the area of the shaded region (as a function of 9). Hint: Find the intersection between y = √1-x² and y = sin 0. A line from the origin to this point splits the region into a triangle and a sector of the circle. You can calculate the area of the triangle and the area of the sector, and then add them together. 0=x y = VI - * y=0 y sin (0)
Question B2: Suppose that is an angle between 0 and. Consider the shaded region in the figure to the right. Its boundary includes the x-axis, the y-axis, the line y = sin 0, and the unit circle (y = √1-x²). Determine the area of the shaded region (as a function of 9). Hint: Find the intersection between y = √1-x² and y = sin 0. A line from the origin to this point splits the region into a triangle and a sector of the circle. You can calculate the area of the triangle and the area of the sector, and then add them together. 0=x y = VI - * y=0 y sin (0)
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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Transcribed Image Text:Question B2:
Suppose that is an angle between 0 and. Consider the shaded
region in the figure to the right. Its boundary includes the x-axis,
the y-axis, the line y = sin, and the unit circle (y = √1-x²).
Determine the area of the shaded region (as a function of 9).
Hint: Find the intersection between y √1-x² and y sin 0. A
line from the origin to this point splits the region into a triangle and
a sector of the circle. You can calculate the area of the triangle and
the area of the sector, and then add them together.
=
x = 0
y = v₁ - x-
y = 0
y = sin (0)
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