Find and simplify g(x+1)

13

1)(

2

xxxg

Answer: 3

12 xx

Evaluate f(-1)

152)( 2 xxg

Answer: 13

Given, what ordered pair is on the graph of f?

3)5(1 h

Answer: )5,3(

Evaluate

152)( 2 xxg

Answer: 5

5

x

x

)35(1f

State the domain

155

10)(

x

xg

Answer: or

Interval notation:

3x 3x

),3()3,(

Find the domain algebraically

xxf 10)(

Answer: or 10x ]10,(

Evaluate

)1(1f

Answer: -1.1, .25, 3.3, 4.25 (ish)

Evaluate

)5(1 f

Answer: None

Evaluate

)0(1f

Answer: -1, 0, 4

State the domain

Answer: Domain: All Real numbers

Range: 1y

Let t be time in seconds and r(t) be the rate in gallons/second, that water enters the reservoir. Assume p a given time the water enters the reservoir.

Describe 2r(p)

Answer: Water is following twice as fast at time t

Let t be time in seconds and r(t) be the rate in gallons/second, that water enters the reservoir. Assume p is a given time the water enters the reservoir.

Describe r(p+2)

Answer: The rate the water is following 2 seconds after time t.

Let t be time in seconds and r(t) be the rate in gallons/second, that water enters the reservoir. Assume p is a given time the water enters the reservoir.

Describe r(p)+2

Answer: The rate flows at 2 more gallons/second faster than at p.

Let t be time in seconds and r(t) be the rate in gallons/second, that water enters the reservoir. Assume p is a given time the water enters the reservoir.

Describe a time where it would be more helpful to look at )(1 tr

Answer: When someone knows the desired rate of flow, but wants to find the WHEN that rate occurs.

A toy remote controlled helicopter has a mass of 0.10 kg and hovers just above an army of green plastic riflemen.

Answer: a. Gravity down and propeller up b. 0.98N (one up and one down)

a) Name the forces that are acting on the helicopter?

    b) Calculate those forces acting on the helicopter.

The helicopter swoops down and catches a string that's tied to one of the green army figures.  Helicopter, string and army figure now raise into the air with a constant velocity.    a) If the string and army figure are 0.02 kg calculate each of the forces now acting on the helicopter?  .

    b) What is the net force?   

Calculate each of these

3) The knot in the string slips off the helicopter, but the RC operator hasn't noticed yet.    a) Calculate all of the forces acting on the helicopter now.   

b) Calculate the net force.    

c) Calculate the acceleration of the helicopter.

d) Do you know the acceleration of the army man on a string?

A large phone book with a mass of 2.1 kg hangs from a ceiling hook on a string that has a breaking strength of 34 Newton's. 

    a) How much mass can you add to the phone book before the string breaks?

    b) Instead of adding masses you remove the string from the ceiling hook and hold it in your hand.  What would be the maximum upward acceleration this string could withstand?

Sled dog A pulls East on a 50.0 kg sled with a force of 56 Newton's.  The sled doesn't move.    a) Name all the forces acting on the sled.    b) Identify the magnitude of each of these forces.    c) Calculate the net force on the sled.

Sled dog A pulls East on a 50.0 kg sled with a force of 56 Newton's.  Sled dog B is added to the sled dog team and pulls with a force of 43 Newton's.  If he pulls East the sled will accelerate at 0.5 m/sec/sec..   

a. Calculate the net force on the sled.

b.How quickly does the sled accelerate if sled dog B turns around and pulls west?

Terminal velocity occurs when...

How are mass and weight different / related?

There are two types of forces, contact forces and _________ forces.

What is the name given for...       

   

gFnF fF

All forces added together