for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy b
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Let , side lawn is a.
Area of boundary is :
Now, total cost is given by :
Area left is :
Price to empty space with turfs is :
Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.
Hence, this is the required solution.
a. Parameterize by
with .
b/c. The line integral of over
is
d. Notice that we can write the line integral as
By Green's theorem, the line integral is equivalent to
where is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
