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#101 2009-03-22 16:02:20

ganesh
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Re: Exercise

What is the slope of the normal to the curve


at the point whose x-coordinate is 2?


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#102 2009-03-22 16:12:07

ganesh
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Re: Exercise

What are the order and degree of the differential equation

?


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#103 2009-03-23 02:10:32

ganesh
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Re: Exercise

What is the inverse of the matrix

?


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#104 2009-03-23 02:21:58

ganesh
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Re: Exercise

What is the value of


if
?


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#105 2009-03-23 02:34:43

ganesh
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Re: Exercise

If

,
what is the value of
?


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#106 2009-03-23 02:57:19

ganesh
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Re: Exercise

If


are non-coplanar and
,
then what is

equal to?


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#107 2009-03-23 03:11:37

ganesh
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Re: Exercise

If


are a right handed triad of mutually perpendicular vectors of magnitude a, b, and c, then what is the value of
?


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#108 2009-03-23 04:12:20

ganesh
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Re: Exercise

If the edges


meet at a vertex, find the volume of the parallelopiped.


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#109 2009-03-23 04:39:45

ganesh
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Re: Exercise

What is the Cartesian equation of the line through the points (2, -3, 5) and (3, 6, -2)?


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#110 2009-03-23 05:06:25

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Re: Exercise

What is the center and the radius of the sphere given by

?


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#111 2009-03-23 05:39:27

ganesh
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Re: Exercise

Find the angle between the vectors

.


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#112 2009-03-23 06:03:08

ganesh
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Re: Exercise

If

,
find
.


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#113 2009-03-24 02:11:41

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Re: Exercise

What is the rate at which the volume of a spherical bubble of radius r increases as fast as the radius?


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#114 2009-03-24 02:17:51

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Re: Exercise

The distance of a particle at time t is given by

.
What is the value of t when the particle comes to rest?


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#115 2009-03-24 02:17:56

ganesh
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Re: Exercise

The distance of a particle at time t is given by

.
What is the value of t when the particle comes to rest?


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#116 2009-03-24 02:36:46

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Re: Exercise

If the distance of a particle at time t is given by

,
then what is its acceleration?


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#117 2009-03-24 02:48:26

ganesh
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Re: Exercise

The distance of a particle at time t is given by

.
What is the velocity of the particle after 2 seconds?


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#118 2009-03-24 03:31:25

ganesh
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Re: Exercise

If the distance 's' travelled by a particle in time 't' is given by

,
at what value of t would the particle come to rest?


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#119 2009-03-24 03:56:45

ganesh
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Re: Exercise

A stone thrown upwards has its equation of motion


where s in in meters and t in seconds. What is the maximum height reached by it?


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#120 2009-03-24 04:34:30

ganesh
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Re: Exercise

The volume of a sphere is increasing at the rate of 2 cm per second. Find the rate at which the surface is increasing when the radius is 3 cm.


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#121 2009-03-24 04:58:58

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Re: Exercise

What is the slope of the tangent to the curve

?


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#122 2009-03-24 05:33:58

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Re: Exercise

For what value of


would the normal to the curve be parallel to the y-axis?


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#123 2009-03-24 06:07:15

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Re: Exercise

What is the point of intersection of the curves

?


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#124 2009-03-24 06:15:44

ganesh
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Re: Exercise

What is the angle between the two curves

?


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#125 2009-03-24 06:37:37

ganesh
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Re: Exercise

State whether the following function is increasing, decreasing, constant or undefined.

.


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