1. A polar plot of the equation:r = 1-2 sin(50) is shown in the figure below. Recall the relation between the rectangular, (x,y), and the polar, [r, 0], coordinates of a point on this graph: (x, y) = (rcos , r sin 0) = ((1 – 2 sin(50)) cos 0, (1-2 sin(50)) sin 0)). YA Use the fact that dy dx de (de) to find the slope and the inclination angle, a, of the tangent line at point P where: and 0 = 7. r = 1 + √2 Also, specify the xy-coordinates of point P. || 2. Find the derivative of y in each case. (a) y sin³x + cos³x (b) y = tan² (x³) (c) y 4 sec(5x) -1-√2 r=1-2 sin(50) P R 1+√2 0=4 X
1. A polar plot of the equation:r = 1-2 sin(50) is shown in the figure below. Recall the relation between the rectangular, (x,y), and the polar, [r, 0], coordinates of a point on this graph: (x, y) = (rcos , r sin 0) = ((1 – 2 sin(50)) cos 0, (1-2 sin(50)) sin 0)). YA Use the fact that dy dx de (de) to find the slope and the inclination angle, a, of the tangent line at point P where: and 0 = 7. r = 1 + √2 Also, specify the xy-coordinates of point P. || 2. Find the derivative of y in each case. (a) y sin³x + cos³x (b) y = tan² (x³) (c) y 4 sec(5x) -1-√2 r=1-2 sin(50) P R 1+√2 0=4 X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![1. A polar plot of the equation:r = 1-2 sin(50) is shown in the figure below.
Recall the relation between the rectangular, (x,y), and the polar, [r, 0], coordinates of
a point on this graph:
(x, y) = (rcos , r sin 0) = ((1 – 2 sin(50)) cos 0, (1-2 sin(50)) sin 0)).
YA
Use the fact that
dy
dx
de
(de)
to find the slope and the inclination angle,
a, of the tangent line at point P where:
and 0 = 7.
r = 1 + √2
Also, specify the xy-coordinates of point P.
||
2. Find the derivative of y in each case.
(a) y sin³x + cos³x
(b) y = tan² (x³)
(c) y 4 sec(5x)
-1-√2
r=1-2 sin(50)
P
R
1+√2
0=4
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f989c57-8a7c-4041-9fe7-2f824b6b0127%2F7b79187d-dc97-40e3-a8fd-52e78625bdeb%2F1d6jdb_processed.png&w=3840&q=75)
Transcribed Image Text:1. A polar plot of the equation:r = 1-2 sin(50) is shown in the figure below.
Recall the relation between the rectangular, (x,y), and the polar, [r, 0], coordinates of
a point on this graph:
(x, y) = (rcos , r sin 0) = ((1 – 2 sin(50)) cos 0, (1-2 sin(50)) sin 0)).
YA
Use the fact that
dy
dx
de
(de)
to find the slope and the inclination angle,
a, of the tangent line at point P where:
and 0 = 7.
r = 1 + √2
Also, specify the xy-coordinates of point P.
||
2. Find the derivative of y in each case.
(a) y sin³x + cos³x
(b) y = tan² (x³)
(c) y 4 sec(5x)
-1-√2
r=1-2 sin(50)
P
R
1+√2
0=4
X
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