The portion of a student’s ballpoint pen that contains the ink is a cylinder with a diameter of 0.400 cm and a height of 11.5 cm
1 answer:
First, we need to figure out the volume of the cylinder that holds the ink. The formula for the volume of a cylinder is 
We have the diameter, but we can easily find the radius by dividing it by 2. 0.400/2=0.200. Now, we plug our numbers into the formula.
Now, we need to figure out how much ink he uses each week. We do this by dividing the volume by the amount of weeks, or 1.445/7 = 0.206.
So, the student uses
ink each week.
We have the diameter, but we can easily find the radius by dividing it by 2. 0.400/2=0.200. Now, we plug our numbers into the formula.
Now, we need to figure out how much ink he uses each week. We do this by dividing the volume by the amount of weeks, or 1.445/7 = 0.206.
So, the student uses
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Integration will be ln | ( x /9 ) + ( ) | + c .
Given ∫ 1 dx / ( - 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
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