OPTION B: sinusoidal There are monkeys at the zoo playing on the swing in their enclosure. The swing's motion can be modeled by the function f(x) = 4cos() where f(x) is the monkey's horizontal displacement from the bottom of the swing arc, in meters, at time t, in seconds. a) How far is the monkey swinging from left to right? b) At what times does it swing to the furthest right? c) How long does it take for the monkey to make a full swing? d) What is the monkey's maximum speed on the swing?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
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OPTION B: sinusoidal
There are monkeys at the zoo playing on the swing in their enclosure. The swing's motion can
be modeled by the function f(x) = 4cos() where f(x) is the monkey's horizontal displacement
from the bottom of the swing arc, in meters, at time t, in seconds.
a) How far is the monkey swinging from left to right?
b) At what times does it swing to the furthest right?
c) How long does it take for the monkey to make a full swing?
d) What is the monkey's maximum speed on the swing?
Transcribed Image Text:OPTION B: sinusoidal There are monkeys at the zoo playing on the swing in their enclosure. The swing's motion can be modeled by the function f(x) = 4cos() where f(x) is the monkey's horizontal displacement from the bottom of the swing arc, in meters, at time t, in seconds. a) How far is the monkey swinging from left to right? b) At what times does it swing to the furthest right? c) How long does it take for the monkey to make a full swing? d) What is the monkey's maximum speed on the swing?
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