Answer:
Take the number of weeks as x
12x = 544 - 100
x =444/12
x = 37
Thus it would take her 37 weeks to buy her a laptop
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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Well, in 3 there are 24/8s.
That can fit four 5/8's in it with 4/8s left over.
So your answer is 4