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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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1.75/100X= 450
2. 450/.75 = X
3. X= 600
Answer:
6 hours
Step-by-step explanation:
Set up a proportion:
15kg/5 hrs = 18kg/x hrs
Cross multiply:
5(18)=15x
90 = 15x
Divide by 15:
90/15 = x
6 = x
Answer:
31.6%
Step-by-step explanation:
it is given that
Area of Department X = 8,000 square feet
Area of Department Y = 5,000 square feet
Area of Department Z = 6,000 square feet
now the total area = 
=
square feet
Percentage of area covered by Department Z =
%
=
%
=
%
percentage of overhead expenses applied to Department Z = percentage of area covered by Department Z
hence we have,
percentage of overhead expenses applied to Department Z = 31.6%