Consider the following parametric curve. Answer parts a and b. x= - 8 sint, y= -8 cos t; t= dy in terms of t and evaluate it at the given value of t. dx a. Determine dy dx Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The value of dy at t= (Simplify your answer.) is dx B. The value of at t= is undefined. dx 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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Consider the following parametric curve. Answer parts a and b.
x= - 8 sin t, y = -8 cos t; t=
ary
dy
in terms of t and evaluate it at the given value of t.
dx
a. Determine
dy
dx
Select the correct choice below and, if necessary, fill in the answer box within your choice.
dy
O A. The value of
at t=
is
(Simplify your answer.)
dx
nts
O B. The value of
dy
at t="
is undefined,
gni
b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In ea
and the red line is the curve. Choose the correct graph below.
gnm
OA.
OB.
Oc.
Se
Assignments (2)v
étv
all
MacBook Air
80
F3
F4
FS
@
$
&
2
3
4
7
W
E
R
Y
S
D
F
G
C
V
B
Transcribed Image Text:Consider the following parametric curve. Answer parts a and b. x= - 8 sin t, y = -8 cos t; t= ary dy in terms of t and evaluate it at the given value of t. dx a. Determine dy dx Select the correct choice below and, if necessary, fill in the answer box within your choice. dy O A. The value of at t= is (Simplify your answer.) dx nts O B. The value of dy at t=" is undefined, gni b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t. In ea and the red line is the curve. Choose the correct graph below. gnm OA. OB. Oc. Se Assignments (2)v étv all MacBook Air 80 F3 F4 FS @ $ & 2 3 4 7 W E R Y S D F G C V B
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