The base of a three-dimensional figure is bound by the graph x = sin(y) + 1 on the interval [0, π]. Vertical cross sections that are perpendicular to the y-axis are isosceles triangles with height equal to 5. Algebraically, find the area of each triangle. Y X 543-2-1 1 2 3 4 5 O A(y) = (sin(y) + 1) ○ A(y) = —— (cos(y) + 1)(5) O A(y) = (sin(y) + 1)(5) O A(Y) = = 1/2 (sin(y) + 1)(5)

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The base of a three-dimensional figure is bound by the graph x = sin(y) + 1 on the interval [0, î]. Vertical cross sections that are
perpendicular to the y-axis are isosceles triangles with height equal to 5.
Algebraically, find the area of each triangle.
Y
5
X
5 4 3 -2 -11⁰
-2
-3
4
4NW+ U
3
2-
1
1 2 3 4 5
1/2 (sin(y) + 1)
A(y) =
A(y) =
2
O A(y) = (sin(y) + 1)(5)
O A(y) =
=
(cos(y) + 1)(5)
(sin(y) + 1)(5)
Transcribed Image Text:The base of a three-dimensional figure is bound by the graph x = sin(y) + 1 on the interval [0, î]. Vertical cross sections that are perpendicular to the y-axis are isosceles triangles with height equal to 5. Algebraically, find the area of each triangle. Y 5 X 5 4 3 -2 -11⁰ -2 -3 4 4NW+ U 3 2- 1 1 2 3 4 5 1/2 (sin(y) + 1) A(y) = A(y) = 2 O A(y) = (sin(y) + 1)(5) O A(y) = = (cos(y) + 1)(5) (sin(y) + 1)(5)
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