1st is obtuse, 2nd is acute
Answer:
I believe the answer is A - graph W
Step-by-step explanation:
Answer:
Option 1.
The limit does not exist.
Step-by-step explanation:
The function is
We seek to find
Then we must find the limits on the right of 2 () and on the left of 2 ()
If both limits exist and are equal then the exists, if both limits are different or do not exist then the does not exist.
<u><em>Limit on the left of 2</em></u>
<u><em>Limit on the rigth of 2</em></u>
Note that both limits give different results. The limit of f(x) when x tends to 2 on the left is equal to 5, and the limit of f(x) when x tends to 2 on the rigth is equal to 1.
Then the does not exist.
See below for the proof of the trigonometry identity
<h3>The approach to take</h3>
The identity is given as:
(sin(x) + cos(x))² / sin(2x)= csc (2x) + 1
Start by expanding the numerator
(sin²(x) + cos²(x) + sin(2x)) / sin(2x)= csc (2x) + 1
Express sin²(x) + cos²(x) as 1
(1 + sin(2x)) / sin(2x)= csc (2x) + 1
Expand the fraction
1/sin(2x) + sin(2x)/sin(2x) = csc(2x) + 1
Evaluate the quotient
csc(2x) + 1 = csc(2x) + 1
Hence, the trigonometry identity has been proved
Read more about trigonometry identity at
brainly.com/question/63577
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Answer:
The approximate number of gallons consumed by a person in 2010 will be 4.9 gallons
Step-by-step explanation:
Recall that the formula for exponential decrease is given by a function of the form:
where A is the initial value, r is the rate of decrease, and x is the time elapsed.
In our case, the initial value of gallons of juice per person (at the starting time = 1981) is 16.5 gallons. So A = 16.5 gallons.
the rate of decrease "r" is the decimal form of: 4.1%, that is r = 0.041
So we have:
Now we can calculate what the average number of gallons would be in the year 2010, knowing that between 1981 and 2010 there is an elapsed time in years of: 2010-1981 = 29 years. Then: