I have done the A already (hopefully right). Now I need help with b.
Consider the curve y=1/x^2 for 1
A. Graph the region and calculate the area under the curve. (I got 5/6)
B. Determine c so that the line x=c bisects the area of part a. (This is where i need help)
Consider the curve y=1/x^2 for 1
B. Determine c so that the line x=c bisects the area of part a. (This is where i need help)
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Since the area from 1 to 6 is 5/6, Then half would be 5/12.
INT [ 1/x^2] dx on [1,c] = 5/12
-1/x | (1,c)= -1/c -(-1/1)= 1-1/c= 5/12
7/12= 1/c
C= 12/7
Check by integration.
Hoping this helps!
INT [ 1/x^2] dx on [1,c] = 5/12
-1/x | (1,c)= -1/c -(-1/1)= 1-1/c= 5/12
7/12= 1/c
C= 12/7
Check by integration.
Hoping this helps!