13.
1/1 points |
Previous Answers
SCalcET7 13.1.025.
Match the parametric equations with the correct graph.
x
= cos
3
t
,
y
= sin
3
t
,
z
=
e
0.3
t
,
t
≥
0

13-6-4
下午
9:33
Math 126 Sections 10.1 and 13.1 (7th ed)
第
13
页（共
16
页）
14.
2/2 points |
Previous Answers
SCalcET7 13.1.029.MI.
At what points does the curve
intersect the paraboloid
(If an answer does not exist, enter DNE.)
15.
2/2 points |
Previous Answers
SCalcET7 13.1.030.
At what points does the helix
intersect the sphere
(Round your answers to three decimal places.
If an answer does not exist, enter DNE.)
16.
1/1 points |
Previous Answers
SCalcET7 13.1.041.
Find a vector function,
r
(
t
), that represents the curve of intersection of the two surfaces.
The cone
and the plane
r
(
t
) =
r
(
t
) =
t
i
+ (
4
t
−
t
2
)
k
z
=
x
2
+
y
(
x
,
y
,
z
) =
(smaller
t
-value)
(
x
,
y
,
z
) =
(larger
t
-value)
r
(
t
) = sin
t
, cos
t
,
t
x
2
+
y
2
+
z
2
(
x
,
y
,
z
) =
(smaller
t
-value)
(
x
,
y
,
z
) =
(larger
t
-value)
z
=
x
2
+
y
2
z
=
7
2
?
=
5
?
+
y

13-6-4
下午
9:33
Math 126 Sections 10.1 and 13.1 (7th ed)
第
14
页（共
16
页）
17.
1/1 points |
Previous Answers
SCalcET7 13.1.042.
Find a vector function,
r
(
t
), that represents the curve of intersection of the two surfaces.
The paraboloid
and the parabolic cylinder
r
(
t
) =
18.
1/1 points |
Previous Answers
SCalcET7 13.1.047.
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its
moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position
at
the same time
. Suppose the trajectories of two particles are given by the vector functions
for
Find the values of
t
at which the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist,
enter DNE.)