The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
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Answer:
a
Step-by-step explanation:
a=-4 r=12/-4=-3
T7= ar^n-1
= (-4)(-3)^7-1
=-2916
Answer:
Step-by-step explanation:
The given functions are:
and
We want to to find
Note that:
We substitute the functions to obtain:
We now substitute x=7, to get:
This implies that
Answer:
i don't know, i just want to know if you got it right
Step-by-step explanation:
