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Problem 1CP
Chapter
CH10
- CH10
- CH10.1
- CH10.2
- CH10.3
- CH10.4
- CH10.5
- CH10.6
- CH11
- CH11.1
- CH11.2
- CH11.3
- CH11.4
- CH11.5
- CH11.6
- CH11.7
- CH12.R
- CH12.1
- CH12.2
- CH12.3
- CH12.4
- CH12.5
- CH13.R
- CH13.1
- CH13.2
- CH13.3
- CH13.4
- CH13.5
- CH13.6
- CH13.7
- CH13.8
- CH13.9
- CH14.R
- CH14.1
- CH14.2
- CH14.3
- CH14.4
- CH14.5
- CH14.6
- CH14.7
- CH14.8
- CH15.R
- CH15.1
- CH15.2
- CH15.3
- CH15.4
- CH15.5
- CH15.6
- CH15.7
- CH15.8
- CH15.9
Problem
1CP
- 1CP
- 1CR
- 1RE
- 2CP
- 2CR
- 2RE
- 3CP
- 3CR
- 3RE
- 4CP
- 4CR
- 4RE
- 5CP
- 5CR
- 5RE
- 6CP
- 6CR
- 6RE
- 7CP
- 7CR
- 7RE
- 8CR
- 8RE
- 9CR
- 9RE
- 10CR
- 10RE
- 11CR
- 11RE
- 12CR
- 12RE
- 13CR
- 13RE
- 14CR
- 14RE
- 15CR
- 15RE
- 16CR
- 16RE
- 17RE
- 18RE
- 19RE
- 20RE
- 21RE
- 22RE
- 23RE
- 24RE
- 25RE
- 26RE
- 27RE
- 28RE
- 29RE
- 30RE
- 31RE
- 32RE
- 33RE
- 34RE
- 35RE
- 36RE
- 37RE
- 38RE
- 39RE
- 40RE
- 41RE
- 42RE
- 43RE
- 44RE
- 45RE
- 46RE
- 47RE
- 48RE
- 49RE
- 50RE
- 51RE
- 52RE
- 53RE
- 54RE
- 55RE
- 56RE
- 57RE
- 58RE
- 59RE
- 60RE
Step-by-step solution
Step 1 of 5
The objective is to determine the coordinate of the axis and draw the graph of the provided expression.
Step 2 of 5
(a)
Objective is to prove the coordinate of the axis.
Consider the graph in the text book. let variables
and
which is represent a point. the distance from point P from the origin to the axis angle which is formed by the x-axis and the point 
connected from the origin.
From the right-angle triangle OPB
And from the right-angle triangle OAP
Use the fundamental trigonometric identities for the sum of the sine and the cosine.
So,
Substitutes the value of axis.
Similar for 
coordinate.
Substitutes the value of axis.
Hence, Proved.
Step 3 of 5
(b)
Objective is to show that
Consider the equation is
, substitute the value of
and
values in the above equation.
So,
Then,
To eliminate the term from an equation, choose so that the coefficients of this term is zero, that is:
This implies that:
Hence, Proved.
Step 4 of 5
(c)
Objective is to draw the graph of an ellipse
Consider the ellipse equation is
.
Step 5 of 5
The related graph of the equation is shown below as:
Corresponding textbook
Multivariable Calculus | 1st Edition
Alternate ISBN: 9781111779788
Alternate ISBN: 9781111779788
Multivariable Calculus (1st Edition) Edit edition
Solutions by chapter
- Chapter 10
- Chapter 10.1
- Chapter 10.2
- Chapter 10.3
- Chapter 10.4
- Chapter 10.5
- Chapter 10.6
- Chapter 11
- Chapter 11.1
- Chapter 11.2
- Chapter 11.3
- Chapter 11.4
- Chapter 11.5
- Chapter 11.6
- Chapter 11.7
- Chapter 12.R
- Chapter 12.1
- Chapter 12.2
- Chapter 12.3
- Chapter 12.4
- Chapter 12.5
- Chapter 13.R
- Chapter 13.1
- Chapter 13.2
- Chapter 13.3
- Chapter 13.4
- Chapter 13.5
- Chapter 13.6
- Chapter 13.7
- Chapter 13.8
- Chapter 13.9
- Chapter 14.R
- Chapter 14.1
- Chapter 14.2
- Chapter 14.3
- Chapter 14.4
- Chapter 14.5
- Chapter 14.6
- Chapter 14.7
- Chapter 14.8
- Chapter 15.R
- Chapter 15.1
- Chapter 15.2
- Chapter 15.3
- Chapter 15.4
- Chapter 15.5
- Chapter 15.6
- Chapter 15.7
- Chapter 15.8
- Chapter 15.9
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