Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 58SP
To determine
To find: the curvature at the given point
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6.) Use your calculator to make a graph of the polar function
r(0)=2sin (0) - cos (30) on the grid shown, where 0≤0≤180°,
by first filling in the table below. Round the values in the table to
the nearest tenth. Shown are the standard angles and radii of 1, 2
and 3 to help.
0
r
0
r
R
0°
120°
30⁰
135°
A
45°
150⁰
The
T weather
60⁰
180°
F7
90°
F8
F9
F10
F11
3.
You want to manufacture a fruity cake in a unique shape. You designing a shape for a
fruity cake by generating r=8 sin 0 – 2 sin 40 about the polar axis and make it 8 cm in
height. You decide to pack it in a box. You need to know how much mixture of fruity cake
to have on hand for a production run of ten boxes. Sketch the graph of r.
1. Name the curve with the given polar equation
4
4
1+ cos 0
1 + 2 sin 0
a. r
b. r =
c. r =
6
2 + sin 0
Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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