AP Calculus AB Free Response Questions

[onesun0000]

Hello. I have this homework on derivatives. I attempted solving all the problems but I am not sure whether my solutions are right. Any correction would be of great help.


Here are my answers:

 

[Steven G]

The images are too small to read!

 

[Steven G]

#2. Do you really thing that dtheta/dt is decreasing? You have the wrong value for dx/dt.

 

[onesun0000]

#2. Do you really thing that dtheta/dt is decreasing? You have the wrong value for dx/dt.

should it be the other way around? dx/dt = 10 and dy/dt = 15 ? But I don't understand why it should be that way. I thought the 15 km/h is the rate of change for x because x represents the distance of ship A from the lioghthouse.

 

[onesun0000]

Here are bigger images for my solutions:

 

[Deleted member 4993]

#2. Do you really thing that dtheta/dt is decreasing? You have the wrong value for dx/dt.

What is the "THING" that you are thinging about??cxzvvt!!*&%!!

 

[Steven G]

Before we go any further draw a few pictures of the diagram for different time periods (ship A gets closer to the rock and ship B gets further away from the rock) and decide if the change in theta is increasing, decreasing or constant? Post back with your answer.

 

[onesun0000]

Before we go any further draw a few pictures of the diagram for different time periods (ship A gets closer to the rock and ship B gets further away from the rock) and decide if the change in theta is increasing, decreasing or constant? Post back with your answer.

now i go it. Should be -15. How abouy the other questions? Did do them right?

 

[Steven G]

now i go it. Should be -15. How abouy the other questions? Did do them right?

If you want me to help you then you need to do as I ask. Draw a few pictures, state approximately what you think the angles are and post the pictures. Decide if the angles are increasing, decreasing or remaining constant as the ships are moving. Seriously, no pictures=no help.