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## #101 2009-03-21 17:02:20

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the slope of the normal to the curve

at the point whose x-coordinate is 2?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #102 2009-03-21 17:12:07

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What are the order and degree of the differential equation

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #103 2009-03-22 03:10:32

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the inverse of the matrix

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #104 2009-03-22 03:21:58

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the value of

if
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #105 2009-03-22 03:34:43

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

If

,
what is the value of
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #106 2009-03-22 03:57:19

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

If

are non-coplanar and
,
then what is

equal to?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #107 2009-03-22 04:11:37

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

If

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #108 2009-03-22 05:12:20

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

If the edges

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #109 2009-03-22 05:39:45

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #110 2009-03-22 06:06:25

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

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

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #111 2009-03-22 06:39:27

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

Find the angle between the vectors

.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #112 2009-03-22 07:03:08

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

If

,
find
.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #113 2009-03-23 03:11:41

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #114 2009-03-23 03:17:51

ganesh
Registered: 2005-06-28
Posts: 24,610

### 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?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #115 2009-03-23 03:17:56

ganesh
Registered: 2005-06-28
Posts: 24,610

### 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?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Online

## #116 2009-03-23 03:36:46

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

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

,
then what is its acceleration?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #117 2009-03-23 03:48:26

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

The distance of a particle at time t is given by

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #118 2009-03-23 04:31:25

ganesh
Registered: 2005-06-28
Posts: 24,610

### 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?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #119 2009-03-23 04:56:45

ganesh
Registered: 2005-06-28
Posts: 24,610

### 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?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #120 2009-03-23 05:34:30

ganesh
Registered: 2005-06-28
Posts: 24,610

### 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.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #121 2009-03-23 05:58:58

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the slope of the tangent to the curve

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #122 2009-03-23 06:33:58

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

For what value of

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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #123 2009-03-23 07:07:15

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the point of intersection of the curves

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #124 2009-03-23 07:15:44

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

What is the angle between the two curves

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #125 2009-03-23 07:37:37

ganesh
Registered: 2005-06-28
Posts: 24,610

### Re: Exercise

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

.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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