Consider the parametric equations x = 2+ 3 cos t, y = -1+ 4 sin t a. See x as a function of t and y as a function of t both graphed below and fill in the blanks. 2n 3n -T1/2 1/2 TT 3n/2 2n 5n/2 From the graphs, and sys Use the Pythagorean identity sin? t + cos? t = 1 to find the equation of the underlying (x-h)2, y-k)² b. Cartesian curve. (simplify into the form a2 = 1 ). b2 C. Sketch this curve in the x-y plane below, describe what type of conic section you see, and fill in the blanks below. (You can sketch it before you present to save time.) y Center of the conic section: Length from center to horizontal extreme: Length from center to vertical extreme: -2 5.
Consider the parametric equations x = 2+ 3 cos t, y = -1+ 4 sin t a. See x as a function of t and y as a function of t both graphed below and fill in the blanks. 2n 3n -T1/2 1/2 TT 3n/2 2n 5n/2 From the graphs, and sys Use the Pythagorean identity sin? t + cos? t = 1 to find the equation of the underlying (x-h)2, y-k)² b. Cartesian curve. (simplify into the form a2 = 1 ). b2 C. Sketch this curve in the x-y plane below, describe what type of conic section you see, and fill in the blanks below. (You can sketch it before you present to save time.) y Center of the conic section: Length from center to horizontal extreme: Length from center to vertical extreme: -2 5.
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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
Transcribed Image Text:Consider the parametric equations x = 2 + 3 cos t, y = -1+4 sin t
%3D
а.
See x as a function of t and y as a function of t both graphed below and fill in the blanks.
TT
3T
-T/2
TT
3n/2
5T/2
Зп
-2
-2
-6
From the graphs,
<x<__ and
b. Use the Pythagorean identity sin? t + cos² t = 1 to find the equation of the underlying
Cartesian curve. (simplify into the form-
a2
(x-h)2 , (y-k)²
+.
= 1 ).
b2
C.
Sketch this curve in the x-y plane below, describe what type
of conic section you see, and fill in the blanks below. (You
can sketch it before you present to save time.)
Center of the conic section:
Length from center to horizontal extreme:
Length from center to vertical extreme:
-5
4
3.
-2
3
6.
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