Intro To Parametric & Vector Calculus Worksheet - Calculus Maximus Ws 7.1 Page 7
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7Calculus Maximus
WS 7.1: Param & Vector Intro
Multiple Choice:
14. A parametric curve is defined by
x
sin
t
and
y
csc
t
for 0
t
. This curve is
2
(A) increasing & concave up
(B) increasing & concave down
(C) decreasing & concave up
(D) decreasing & concave down
(E) decreasing with a point of inflection
for
t
15. The parametric curve defined by
x
ln
t
, y
t
0
is identical to the graph of the function
x
x
(A)
y
ln
x
for all real x
(B)
y
ln
x
for
0
(C)
y
e
for all real x
x
x
x
x
(D)
y
e
for
0
(E)
y
ln
e
for
0
16. The position of a particle in the xy plane is given by
2
and
t . The
x t
1
y
ln 2
t
3
for all
0
acceleration vector of the particle is
2
4
4
(A)
2 ,
t
(B)
2 ,
t
(C)
2,
2
2
2
t
3
2
t
3
2
t
3
2
4
(D)
2,
(E)
2,
2
2
2
t
3
2
t
3
Page 7 of 7
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