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The area enclosed by y = 3x - 5, y = 0, ...

The area enclosed by y = 3x - 5, y = 0, x = 3 and x = 5 is

A

12 sq. units

B

13 sq. units

C

`13""1/2` sq. units

D

14 sq. units

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The area enclosed by y = g(x), x = -3, x = 5 and x-axis where g(x) is the inverse of f(x) = x^3 + 3x + 1 is

    A
    `5/2`
    B
    `3`
    C
    `7/2`
    D
    `9/2`

  • The area enclosed by y=g(x)," "x=-3," "x=5 and x-axis where g(x) is the inverse of f(x)=x^3+3x+1 is

    A
    `5/2`
    B
    3
    C
    `7/2`
    D
    `9/2`

  • If S be the area of the region enclosed by y=e^(-x^(2)), y=0, x=0 and x = 1. Then :

    A
    `S ge (1)/(e )`
    B
    `S ge 1 - (1)/(e )`
    C
    `S le (1)/(4)(1+(1)/(sqrt(e )))`
    D
    `S le (1)/(sqrt(2))+(1)/(sqrt(e ))(1-(1)/(sqrt(2)))`

    • Similar Questions

    Explore conceptually related problems

    The area enclosed by the line 2x + 3y = 6 along X-axis & the lines x = 0 , x = 3 is ……… sq. units.

    Find the area enclosed by the curve [x + y] + [x - y] = 5, for x ge y AA x, y ge 0 .

    The area enclosed by the curves y=x^3 and y=sqrtx is

    The total area enclosed by the lines y=|x|,y=0 and |x|=1 is

    Let S be the area of the region enclosed by y=e^(-x^(2)),y=0,x=0 and x=1 , then

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