Find a such that the line x = a divides the region bounded by the graphs of the equations into two regions of equal area. (Round
your answer to three decimal places.)
y = x, y = 8, x = 0
a = _____.
y = x, y = 8, x = 0
a = _____.
1 answer:
Answer:
a≈2.343
Step-by-step explanation:
View Image
Integrating an equation from boundary x₀ to x₁ gives you the area underneath that boundary.
So to find the boundary that split the equation into 2 equal areas, the boundary must lie somewhere between the 2 place to want to split up. In other word, <em>a</em> is the end boundaries of the first integral and the starting boundary of the second integral.
Since the two area must equal to each other, set the two integral equal to each other and solve for a.
You might be interested in
Answer:
Step-by-step explanation:
Given
Required
Determine:
Solving for , we have:
--- angle on a straight line
So, we have:
To solve for , we have:
--- Vertically opposite angles
So: