American River College Parametric Equation Normal And Tangent Lines i need help with solving question number 4 only! Find the area of the shaded region enc

American River College Parametric Equation Normal And Tangent Lines i need help with solving question number 4 only! Find the area of the shaded region enclosed by the curves.
I’ve the final solution for the question that i think it will help SCC
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1. Find the equations of the tangent line and normal line of the curve given by the para-
metric equations : x = cos(t), y = sin(2t), at t=
4.
2. Determine the intervals on which the graph of the following curve is concave up/down :
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C =
cos(t), y= sin(2t), on (0,25)
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3. Given the curve in polar coordinates: r= 1+cos(0), 0 E (0,21]. Find the points where
the graph of the curve has horizontal and vertical tangent lines.
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Notes
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4. Find the area of the shaded region enclosed by the curves r = cos(30) and r= sin(30),
as shown :
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= Contents
Index
Calc
< Prev ^ Up Next >
Calculus and Parametric
Equations
Introduction to Polar
Coordinates
Calculus and Polar
Functions
-1
1
11 Vectors
Introduction to Cartesian
Coordinates in Space
An Introduction to Vectors
-1
The Dot Product
The Cross Product
The area is
► Answer
Lines
Planes
26. Enclosed by r = cos(30) and r
v Solution
sin(30), as shown:
12 Vector Valued Functions
…………………………
Vector-Valued Functions
1
T
area =
1
sin?(30) do
1
-cos? (30) do
2
12
24
Calculus and Vector-Valued
Functions
The Calculus of Motion
27. Find the area enclosed by r = cos(0) and r = sin(20), as shown:
Unit Tangent and Normal
Vectors
The Arc Length Parameter
and Curvature
13 Functions of Several
Variables
Introduction to Multivariable
Functions
Limits and Continuity of
Multivariable Functions
1
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