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The following curve represent rate of ch...

The following curve represent rate of change of a variable y w.r.t. x. The charge in the value of y when x changes from 0 to 11 is :

A

`60`

B

`25`

C

`35`

D

`85`

Text Solution

Verified by Experts

The correct Answer is:
C
As `dy=((dy)/(dx))dx` So `Deltay=intdy=underset(0)overset(11)int((dy)/(dx))dx`
Area under the curve
`A_(1)=1/2xx6xx20=60`
`A_(2)=-1/2xx(11-6)(10)=-25`
`Deltay=A_(1)+A_(2)=60-25=35`
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