Direction: Solve the following problem of bounded areas, marks for complete work out and mark for correct answer Set up the definite integral of the region (using the most convenient rectangles) bounded by the graphs of: (a) r² = y, x=y-2 (b) y = e, y = ²x, x=0, x= ln 2 1 (c) x = =, x = 0, y = 1, y = e Y (d) y = 5x - x², y = x (e) y = √√√x+2, y = x + 2, x=2, x = 4 (f) y = x², y = √√√9-x² (g) x = y² — 2y, I = 4 - y²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Direction: Solve the following problem of bounded areas,
marks for complete work out and mark for correct answer
Set up the definite integral of the region (using the most convenient rectangles) bounded
by the graphs of:
(a) r² = y, x =
y − 2
(b) y = e, y = ²x, x=0, x= In 2
1
(c) x = −, x = 0, y = 1, y = e
Y
(d) y =
5x - x², y = x
(e) y = √x+2, y = x + 2, x=2, x = 4
(f) y =
x²
= x², y = √√9 — x²
(g) x = y² - 2y, x=4-y²
Transcribed Image Text:Direction: Solve the following problem of bounded areas, marks for complete work out and mark for correct answer Set up the definite integral of the region (using the most convenient rectangles) bounded by the graphs of: (a) r² = y, x = y − 2 (b) y = e, y = ²x, x=0, x= In 2 1 (c) x = −, x = 0, y = 1, y = e Y (d) y = 5x - x², y = x (e) y = √x+2, y = x + 2, x=2, x = 4 (f) y = x² = x², y = √√9 — x² (g) x = y² - 2y, x=4-y²
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