Answer:
the slope or gradient is 8/2=4
The parabola goes down(makes a sad face) because it is negative. The answer is 0,0
For this case we have the following functions:

The first thing we must do for this case is to subtract both functions.
We have then:

Substituting we have:

Rewriting we have:

Evaluating the obtained function for x = 3 we have:

Answer:
The value of the function evaluated at x = 3 is:

Answer:
26x+61
Step-by-step explanation:
Answer:
a) 
b) 
Step-by-step explanation:
Part a
Since the buoy oscillates in simple harmonic motion the equation to model this is given by:

For this case from the info given we know that:

"It returns to its high point every 10 seconds." That means period =10
, and the angular frequency can be founded like this:

Assuming that the value for the phase is
our model equation is given by:

Part b
From definition we can obtain the velocity with the derivate of the position function and if w calculate the derivate we got this:

