Find the points (if they exist) at which the following plane and curve intersect. y+x=0; r(t) = (3 cos t,3 sin t,t), for 0≤t≤ 4 Choose the correct answer below. A. B. C. The plane intersects the curve at 3√2 2 15 312 15x 3√√2 4 The plane intersects the curve at ... (-3√2 3√2 3x) 2 3√2 ( 34). (31/2 7π 3√2 31/2 74). (- 31/2 31/2 118). 2 2 2 4 3л (-3√2 31/2 3x) and (31/2 2 4 The plane intersects the curve at 3√2 3√2 13T 2 2 4 D. The plane and curve do not intersect on 0≤t≤ 4. 3√2 31/2 74). 2 3√√2 3√2 T 3√2 3√2 5T 3√2 3√2 9 ( ) 2 2 2 2 4 2 " 2 4 and and

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 61E
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Find the points (if they exist) at which the following plane and curve intersect.
y+x=0; r(t) = (3 cos t,3 sin t,t), for 0≤t≤ 4
Choose the correct answer below.
A.
B.
C.
The plane intersects the curve at
3√2 3√√2 15
2
8√/2 15x).
2
4
The plane intersects the curve at
3л
(- 312 31/2 32). (3√2 3√/2 76). ( 3√/2 3√2
2 2 4
2 4
3√2 3√2 3л
2
2 4
3√√2 3√√2 T
2 2
) (3√/2 3√2 7A)
and
2 4
17). (-3√/2 3√2 57 ). ( 3√/2 3√/2 97).
and
"
2 4
2 2 4
The plane intersects the curve at
3√2
3√2
3√2 13
4
2
2
D. The plane and curve do not intersect on 0≤t≤ 4.
31/2 31/2 117)..
4
and
Transcribed Image Text:Find the points (if they exist) at which the following plane and curve intersect. y+x=0; r(t) = (3 cos t,3 sin t,t), for 0≤t≤ 4 Choose the correct answer below. A. B. C. The plane intersects the curve at 3√2 3√√2 15 2 8√/2 15x). 2 4 The plane intersects the curve at 3л (- 312 31/2 32). (3√2 3√/2 76). ( 3√/2 3√2 2 2 4 2 4 3√2 3√2 3л 2 2 4 3√√2 3√√2 T 2 2 ) (3√/2 3√2 7A) and 2 4 17). (-3√/2 3√2 57 ). ( 3√/2 3√/2 97). and " 2 4 2 2 4 The plane intersects the curve at 3√2 3√2 3√2 13 4 2 2 D. The plane and curve do not intersect on 0≤t≤ 4. 31/2 31/2 117).. 4 and
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