Answer:
1+y -13
Step-by-step explanation:
The problem states that one plus y is No greater than -13.
This means that is less than or equal to -13.
It also gives you one plus y, or 1+y
Put everything together to get 1+y -13
A survey asked students to choose their favorite social networking website. The results are shown in the table. What fraction of
students chose website a? Write your answer in simplest form.
2 answers:
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Answer:
Step-by-step explanation:
The cotangent function can be rewritten by trigonometric relations, that is:
(1)
By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:
(2)
(3)
By (2) and (3) in (1), we have following expression:
If we know that and
, then the result of the trigonometric expression is:
Answer:
As ,
.
Step-by-step explanation:
See the attached image for the graph of <em>f</em> .
As , the important part of the definition of <em>f</em> is the first part, valid for [0, 2). On the interval [1, 2), [x] = 1, so
, and the slope is 1.
Interestingly, on the interval [2, 3), , making
. As
, the value of <em>f </em>' approaches 4. That accounts for the sudden change in direction at the point (2, 2) where the two pieces of the graph connect.
So although the pieces meet at (2, 2) -- <em>f</em> is continuous -- <em>f</em> does not have a (two-sided) derivative at that point because the left-hand derivative and right-hand derivative have different values. There's a "bend" in the graph.
