Parameterize the intersection by setting

, so that


The length of the path

is then given by the line integral along

,

where

. We have



and so the line integral is

This result is fortuitous, since we can write

and so the integral reduces to
Assumption:
<em>Something is missing in question. If we see deeply it is apparent that there is some issue with option b i.e. </em><em>B) 8 − 4x 10 = 4 + 2x </em><em>we assume that the questioner want to type </em><em>B) 8-4x^10 = 4 + 2x.</em>
Answer:
The correct answer is <em> </em><em>B) 8-4x^10 = 4 + 2x.</em>
Step-by-step explanation:
All equations given is the question can be solve easily to determine the value of x. However if we solve equation mentioned in option b we cannot get single answer easily.
For example value of x in eq given in option A
15x + 123 = 5x+4
1oX = -119
X = -119/10
Find the cubic root of the first term ( numbers)
∛49 = 3.659
∛81 = 4.326
∛121 = 4.946
∛ 343 = 7
Because ∛343 is the only whole number answer ( no decimal places) the last answer is the correct one.
The picture in the attached figure
we know that
area of the <span>the shaded region=area of rectangle -area of a kite
area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²
area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²
area of the the shaded region=8x²-4x²-----> 4x²
the answer is 4x²