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To find increasing and decreasing intervals we take derivative
Now we set the derivative =0 and solve for x
sinx + cosx =0
divide whole equation by cos x

tanx +1 =0
tanx = 1
and
Now we pick a number between 0 to 
Lets pick 
Plug it into the derivative
= 4.810 is positive
So the graph of f(x) is increasing on the interval [0,
)
Now we pick a number between
to 2pi
Lets pick 
Plug it into the derivative
= 116 is positive
So the graph of f(x) is increasing on the interval 
Increasing interval is 
Decreasing interval is 
(b)
The graph of f(x) increases and reaches a local maximum at 
The graph of f(x) decreases and reaches a local minimum at 
(c)
f(0) = 0



Here global maximum at 
Here global minimum at 
Answer:
26.8 inches of fabrics was used on headband and wristband for each player
Step-by-step explanation:
Headbands for 31 players and 3 couches = 611.66 inches of fabric
Total number of people = 31 players + 3 couches
= 31 + 3
= 34 people
Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people
= 611.66 inches of fabric / 34 people
= 17.99 inches of fabrics per person
Wristband for 31 players = 273.11 inches of fabric
Fabric per person's wristband = total inches of fabrics for wristband / number of players
= 273.11 inches of fabric / 31
= 8.81 inches per person
How much fabric was used on a headband and wristband for each player?
= Fabrics per person's headbands + Fabric per person's wristband
= 17.99 inches + 8.81 inches
= 26.8 inches of fabrics was used on headband and wristband for each player
Answer:
x is 0
Step-by-step explanation:
subtract the number 3 5 and 8 then combine like terms and 8 on both sides of the equation then simplify after that divide both sides of the equation by the same term then simplify
Answer:
the value of b would be -7
Step-by-step explanation:
The slope of a line is defined as rise by run i.e. how much y value changes with respect to the change in x value. So the slope gives the steepness of the line.
Slope 0 indicates there is no change in y when the x value is changed and so the line with slope 0 is a horizontal line. A line with slope 1 shows with 1 unit change in x, y changes by 1 unit. Likewise slope equal 2 indicates with 1 unit change in x, y changes by 2 units.
We can see as the absolute value of slope is increasing, the change in y with respect to x is increasing i.e. the line is becoming more tilted or steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute value of the slope gets bigger.
C is the correct answer.