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
Problem 61E
Related questions
Question
Answer only 2di
Transcribed Image Text:M
2
Sketch the following graphs, giving coordinates of maximum and minimum points.
2 cos (x − ) for 0 < x < 2π
a
C
i Y =
ii y
i
ii
i
ii
di
ii
y
y =
y
=
3 sin (x +) for 0 < x < 2π
sin 2x for
T ≤ x ≤ T
cos 3x for 0 < x <
π
tan (x
tan (x +
3 cos x
y
-
=
y =
y 2 sin x +
וח
πT
11
for 0 <
for 0
x < T
3
The depth of water in a harbour varies during the day and is given by the equation
d = 16 + 7 sin (12t) where d is measured in metres and t in hours after midnight.
a Find the depth of the water at low and high tide.
b
At what time does high tide occur?
M
4 A small ball is attached to one end of an elastic spring, and the other end is fixed to the
11
—1
< x < T
2 for 0 < x < 4ñ
1 for −π < x < π
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