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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

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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

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### Re: Exercise

What is the inverse of the matrix

?

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## #104 2009-03-23 02:21:58

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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

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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

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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

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### Re: Exercise

Find the angle between the vectors

.

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## #112 2009-03-23 06:03:08

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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

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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

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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

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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

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### Re: Exercise

The volume of a sphere is increasing at the rate of 2 cm³ 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

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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

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### Re: Exercise

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

.

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