Suppose the function y = h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below. [ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b) (or Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2. Click the icon to view an example of an astroid graph. h(x) dx = g(1) f(t) dt, if a = f(b) and p = f(a)) The area is (Type an exact answer, using x as needed.)
Suppose the function y = h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below. [ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b) (or Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2. Click the icon to view an example of an astroid graph. h(x) dx = g(1) f(t) dt, if a = f(b) and p = f(a)) The area is (Type an exact answer, using x as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
Related questions
Question
![Suppose the function y=h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is
traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below.
[ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b)
(or
Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2.
Click the icon to view an example of an astroid graph.
h(x) dx
= g(1) f(t) dt, if a = f(b) and p = f(a))
The area is
(Type an exact answer, using x as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14ca10a7-9a5a-4024-afbf-f0f142f43830%2F084b9c7b-20bd-4342-821c-c3fb5dce4fde%2Fgccv9g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose the function y=h(x) is nonnegative and continuous on (a.B), which implies that the area bounded by the graph of h and the x-axis on [a.p] equals h(x) dx or ay dx. If the graph of y=h(x) on [a,b] is
traced exactly once by the parametric equations x = f(t), y = g(t), for a st≤ b, then it follows by substitution that the area bounded by h is given by the equation below.
[ n(x) dx = Sy dx = g(t) f(t) dt, if a = f(a) and ß= f(b)
(or
Find the area of the region bounded by the astroid x = 9 cos ³t, y=9 sin ³t, for 0 st≤ 2.
Click the icon to view an example of an astroid graph.
h(x) dx
= g(1) f(t) dt, if a = f(b) and p = f(a))
The area is
(Type an exact answer, using x as needed.)
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