Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
You haven’t put a picture of the graph
Answer:
The temperature at sunrise was lower on the day in 2012 than on the day in 2013.
The difference between the 2012 and 2013 rates of temperature increase was 0.1 degrees per hour.
Both days had a constant rate of change in temperature per hour over the time periods shown.
Step-by-step explanation:
I don't know of that's right but . . .
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = 
Given function is,
g(x) = 
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = 
g(3) = 
= 2.5 + 1
= 3.5
g(-4) = 
= -1 + 1
= 0
Average rate of change = 
= 
= 
Therefore, Option B will be the answer.
<span>y=-3x-4
slope = 3
perpendicular to line then slope = 1/3
answer
</span>slope of a line perpendicular to <span>y=-3x-4
</span><span>=
1/3
</span>