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
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>
<em></em>
Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
<em>The other options get screened out here.</em>
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
Answer:
A
Step-by-step explanation:
y=4x+6
y=6-4x
y=12
y=4x+6
12=4x+6
12-6=4x
6/4=4x/4
x=3/2
Answer:
Answer c: 
Step-by-step explanation:
Hi there!
Let´s start writting the formula

If we multiplicate both sides by (x₂ - x₁):

Then if we add y₁ to both sides of the equation:

Then, the right answer is the answer c)
Have a nice day!
Answer:
256
Step-by-step explanation:
All of these are multiples of 4.
4^2= 16
4^3=64
4^4=256