23. Give a formula that gives the length of the outer loop for the curve:r = 4-8 cos(0)(Hint: Graph first!!!)T/3A) 2 (4-8 cos 0)² + (8sin 0)'d05л/6B) 2 | V(4-8cos 0)? + (8 sin 0)d0T/6C) 2| V(4-8 cos 0) + (8 sin 0)d0D) 2| V(4-8cos 0)² + (8 sin 0)² d0T/35π/6E) | V(4-8cos 0) + (8 sin 0)? d0

r=4-8cos(θ)For loops crossedr=04-8cos(θ)=08cos(θ)=4cos(θ)=12θ=π3,5π3(Have symmetry from 0 to π and π…

23. Give a formula that gives the length of the outer loop for the curve: r= 4-8 cos(0) (Hint: Graph first!!!) 7/3 A) 2[ J(4-8cos 0)² +(8sin Ø)² d0 5a/6 B) 2 [ V(4-8cos 0)² + (8sin 0)²d® C) 2| V(4-8cos 0)² +(8sin 0)²d0 D) 2[ J(4-8cos 0)² + (8sin 0)² d0 7/3 5z/6 E) [ V(4-8cos 0)² +(8sin Ø)²d0

23. Give a formula that gives the length of the outer loop for the curve: r= 4-8 cos(0) (Hint: Graph first!!!) 7/3 A) 2[ J(4-8cos 0)² +(8sin Ø)² d0 5a/6 B) 2 [ V(4-8cos 0)² + (8sin 0)²d® C) 2| V(4-8cos 0)² +(8sin 0)²d0 D) 2[ J(4-8cos 0)² + (8sin 0)² d0 7/3 5z/6 E) [ V(4-8cos 0)² +(8sin Ø)²d0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 49RE

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

23. Give a formula that gives the length of the outer loop for the curve:
r = 4-8 cos(0)
(Hint: Graph first!!!)
T/3
A) 2 (4-8 cos 0)² + (8sin 0)'d0
5л/6
B) 2 | V(4-8cos 0)? + (8 sin 0)d0
T/6
C) 2| V(4-8 cos 0) + (8 sin 0)d0
D) 2| V(4-8cos 0)² + (8 sin 0)² d0
T/3
5π/6
E) | V(4-8cos 0) + (8 sin 0)? d0

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