You should have an angle of elevation of 30 degrees.
The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is

-------------------------------
The range is

since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
Answer:
Yes, the given table represent an exponential function.
Step-by-step explanation:
Given table is :
x y
1 4
2 16
3 64
4 256
Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function
.
We see that y-values are basically powers of 4 so we can write the related function as
.
Which is clearly in form of
.
Hence yes, the given table represent an exponential function.
Answer:

Step-by-step explanation:
You have the following differential equation:
(1)
In order to find the solution to the equation, you can use the method of the characteristic polynomial.
The characteristic polynomial of the given differential equation is:

The solution of the differential equation is:
(2)
where m1 and m2 are the roots of the characteristic polynomial.
You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

Answer:

Step-by-step explanation:
Given

Required
Find 
From the attachment:
The measure of
is calculated using the following expression:

Where
-- right-angled.
The expression becomes


