x = 2sin²t y = 2sin't tant 4 륜 ㅋㅋㅋ ㅇ t

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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3 Find
A =
8
↑
the exact
X = 2 sin ² t
Sin ³ t
COSA
under
(sin²t) dt = 8
yo dy dz
²t tant) (4 costsint) dt = 8
(
y = 2 sint tant.
dt
the
cost dt =
"6²" (4-2-1
* (* (* (1= cos (2+))*d*
8
8
parametric
f
4 costsint
8-1 [² (1-2 cos (24) + cos² (2+)) d+
(
7p 717 याद
H
'f"
- + cos (2+) + + cos² (24) d+
+ P₂ ( (72) 50 ~ 7 - 7)
in ³ tant cost dt.
curve
7 7 7 7 0
x
2
12+ ] ² - 4 6² = cos(u) du +2 +3 So ² (1+ cos (4+)) dt
dx
710
2 (= 1 dt -46 € (as (2+) oH + 2√² cos (2+) dz
cos
=2 sin²t = 2
= d
dt
2 sint
d 2 (sint) ²
710
= 2-2 Sint cost
= 4 cost sint
Trig Identity
tan = Sin O
Coso
Sin²t=1= cost
sin²t=
= 1/2 - 1/cos (2+)
72=n
du = 2dt
T = 7P
= 1/2 du
cos² (2+) = 1 + 1/2 cos (
= = (1 + cos(4+))
Transcribed Image Text:3 Find A = 8 ↑ the exact X = 2 sin ² t Sin ³ t COSA under (sin²t) dt = 8 yo dy dz ²t tant) (4 costsint) dt = 8 ( y = 2 sint tant. dt the cost dt = "6²" (4-2-1 * (* (* (1= cos (2+))*d* 8 8 parametric f 4 costsint 8-1 [² (1-2 cos (24) + cos² (2+)) d+ ( 7p 717 याद H 'f" - + cos (2+) + + cos² (24) d+ + P₂ ( (72) 50 ~ 7 - 7) in ³ tant cost dt. curve 7 7 7 7 0 x 2 12+ ] ² - 4 6² = cos(u) du +2 +3 So ² (1+ cos (4+)) dt dx 710 2 (= 1 dt -46 € (as (2+) oH + 2√² cos (2+) dz cos =2 sin²t = 2 = d dt 2 sint d 2 (sint) ² 710 = 2-2 Sint cost = 4 cost sint Trig Identity tan = Sin O Coso Sin²t=1= cost sin²t= = 1/2 - 1/cos (2+) 72=n du = 2dt T = 7P = 1/2 du cos² (2+) = 1 + 1/2 cos ( = = (1 + cos(4+))
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