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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

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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**ganesh****Moderator**- Registered: 2005-06-28
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What is the value of

if

?

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

If

what is the value of

?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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If

are non-coplanar and

,

then what is

equal to?

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**ganesh****Moderator**- Registered: 2005-06-28
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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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

If the edges

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the Cartesian equation of the line through the points (2, -3, 5) and (3, 6, -2)?

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the center and the radius of the sphere given by

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**ganesh****Moderator**- Registered: 2005-06-28
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Find the angle between the vectors

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

If

find

.

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the rate at which the volume of a spherical bubble of radius r increases as fast as the radius?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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The distance of a particle at time t is given by

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

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

The distance of a particle at time t is given by

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

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

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

then what is its acceleration?

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**ganesh****Moderator**- Registered: 2005-06-28
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The distance of a particle at time t is given by

What is the velocity of the particle after 2 seconds?

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

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**ganesh****Moderator**- Registered: 2005-06-28
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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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**ganesh****Moderator**- Registered: 2005-06-28
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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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**ganesh****Moderator**- Registered: 2005-06-28
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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.

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the slope of the tangent to the curve

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**ganesh****Moderator**- Registered: 2005-06-28
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For what value of

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

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the point of intersection of the curves

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**ganesh****Moderator**- Registered: 2005-06-28
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What is the angle between the two curves

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 20,895

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

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