Indiana State University The Tangential Component Exam

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Some calculus 3 questions that needs answers within an hour. Thank you! Attached in the photos.

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UF
FLORINA
Identify the quadric surface.
y? – 6 – 2 + 10 = 0
o hyperboloid of one sheet
o hyperboloid of two sheets
o ellipsoid
paraboloid
294
cylinder
?
Question 3
4 pts
Find the angle between the planes x – y +z = 0 and x – 2y – 2z = 5.
1
COS
373)
(27)
2
COS
-1
5
-1
COS
27
1
COS
(1303)
– ()
COS
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UF
Question 4
4 pts
FLORIDA
The space curve C is defined by the vector function
r(t) = -2/+1i + ln(t + 1)j + sin(–2t) k
Which of the following is/are correct?
38
P. The domain of the function is (-1,00).
POD
JOD
Q. The vector (-1,1,2) is a tangent vector to the curve C at t = 0.
R. The vector (1,-1,-1) is orthogonal to the tangent line of the curve C at t = 0.
294
?
Q only
OP and R
Q and R
P only
P and Q
ho
Question 5
4 pts
The path of a particle parameterized by the time t is
r(t) = (t?, 2t, t)
Find the tangential component at of the acceleration at the point
(1, 2, 1).
o 4
9
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UF
Question 5
4 pts
FLORIDA
The path of a particle parameterized by the time tis
r(t) = (t, 2t, t)
Find the tangential component at of the acceleration at the point
(1, 2, 1).
ロロロ
BE
4
294
9
©
مهر | نت
LO
25
9
25
3
None of the choices is correct.
w
Question 6
4 pts
Consider the quadric surface – 22 + y2 + 2z2 = 0. Which of the following is/are
correct?
Cole
ts
P. The traces in the plane parallel to the xz-plane are hyperbolas.
Q. The traces in the plane parallel to the yz-plane are ellipses.
Z
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UF
25
Hobos
3
None of the choices is correct.
28
Question 6
4 pts
DOR
294
correct?
Consider the quadric surface – 22 + y2 + 2z2 = 0. Which of the following is/are
?
P. The traces in the plane parallel to the xz-plane are hyperbolas.
Q. The traces in the plane parallel to the yz-plane are ellipses.
R. The graph of the surface is
OP and R only
R only
OP, Q, and R
P and Q only
Q and R only
Question 7
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Tags:
ellipsoid

Planes

tangent vector

hyperbloid

parabloid

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