Answer:
Step-by-step explanation:
Given that there is a function of x,

Let us find first and second derivative for f(x)

When f'(x) =0 we have tanx = 1 and hence
a) f'(x) >0 for I and III quadrant
Hence increasing in 
and decreasing in 


Hence f has a maxima at x = pi/4 and minima at x = 3pi/4
b) Maximum value = 
Minimum value = 
c)
f"(x) =0 gives tanx =-1

are points of inflection.
concave up in (3pi/4,7pi/4)
and concave down in (0,3pi/4)U(7pi/4,2pi)
Answer : option d
4.4, 5.8, 7.2, 8.6, 10, …
First we find the common difference between two terms
5.8 - 4.4 = 1.4
7.2 - 5.8 = 1.4
8.6 - 7.2 = 1.4
10 - 8.6 = 1.4
So common difference is 1.4
To find recursive rule, we add the difference with previous term
Recursive rule is 
a1 is the first term so a1= 4.4
d is the difference = 1.4
So recursive rule is
, where a1 = 4.4
The answer is 1.067. Hope it's not too late.
Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6