Question

the area of the region bounded by the curve y=x-[x] and y=[x] in [0,2] is
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Answer 1

Given: The curves  y = x - [x] and y = [x].

To find: The area of the region bounded by the curve y=x-[x] and y=[x] in [0,2]  ?

Solution:

• Now we have given the curves  y = x - [x] and y = [x].

• After plotting on graph we can find that a parallelogram is formed.

• The points are: (0,0), (1,0), (2,1) and (1,1).

• So the area of parallelogram will be:

                  A = 2( 1/2 (1)(1))

                  A = 1 sq. unit

Answer:

           So the area of the region bounded is 1 sq. unit.

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