6. (a) The area of the shaded region in the figure bounded by the polar spiral: r = for %3D 2n s os 4n is given by the definite integral: A = 1 |r? do = 8n² de. 02 A Find this area. (b) Find the slope of the tangent line to the * at point S by evaluating graph of r = dy / d0 dx / d0 the derivative: dy at 0 = 2n. dx (c) Find the degree measure of the inclination angle a to the line l.
6. (a) The area of the shaded region in the figure bounded by the polar spiral: r = for %3D 2n s os 4n is given by the definite integral: A = 1 |r? do = 8n² de. 02 A Find this area. (b) Find the slope of the tangent line to the * at point S by evaluating graph of r = dy / d0 dx / d0 the derivative: dy at 0 = 2n. dx (c) Find the degree measure of the inclination angle a to the line l.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:6. (a) The area of the shaded region in the figure
bounded by the polar spiral: r = for
2ns 0s 4n is given by the definite integral:
A =
2
p2 de = 8n?
02
2 de.
A
Find this area.
(b) Find the slope of the tangent line e to the
graph of r = at point S by evaluating
dy dy / d0
dx / do
the derivative:
at e = 2n.
dx
(c) Find the degree measure of the inclination
angle a to the line l.
Round your answer to 1 decimal place.
20 Pts
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