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ਖੇਤਰ {(x,y) : 0leylex^2 + 1, 0leylex+1, ...

ਖੇਤਰ `{(x,y) : 0leylex^2 + 1, 0leylex+1, 0lexle2}` ਦਾ ਖੇਤਰਫਲ ਪਤਾ ਕਰੋ।

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Using integration , find the area of the region given below. {(x,y): 0 le y le x^2+1, 0 le y le x+1, 0 le x le 2}

Find the area of the region : {(x,y):0leylex^2,0leylex+2,0lexle3} .

Find 'a' and 'b' if the function: f(x) = {:{((sinx)/x, -2lex<0),(a.2^x,0lexle1),(b+x,1< xle2):} is a continuous function on [-2,2]

The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} The relation 'g' is defined by g(x)= {(x^2,0lexle2), (3x, 2lexle10):} Show that 'f' is a function and 'g' is not a function.

For what choices of a,b,c if any , does the function f(x) = {:{(ax^2+bx+c,0lexle1),(bx-c,1lexle2),(c,x>2):} become differentiable at x =1 andx=2?

Find the area of the region: (i) {(x,y):x^2leylex} .

Minimize z = 2x + 3y , such that 1 le x + 2y le 10, x ge 0, y ge 0 .

The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

PSEB- APPLICATION OF INTEGRALS-Exercise
  1. ਖੇਤਰ {(x,y) : 0leylex^2 + 1, 0leylex+1, 0lexle2} ਦਾ ਖੇਤਰਫਲ ਪਤਾ ਕਰੋ।

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  2. Find the area of the region bounded by the curve y = x, and the lines ...

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  3. Find the area of the region bounded by y^2 = 9x, x=2, x=4 and the x-a...

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  4. Find the area of the region bounded by x^2 = 4y, y=2, y=4 and the y-ax...

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  5. Using integration find the area of region bounded by the ellipse x^2/1...

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  6. Find the area of region bounded by the ellipse x^2/4 + y^2/9 = 1

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  7. Find the area of the region in the first quadrant enclosed by x-axis, ...

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  8. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off by...

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  9. The area between the curve y=x^2, x-axis and the lines x=0 and x=2 is ...

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  10. Find the area of the region bounded by the parabola y = x^2 and y = |x...

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  11. Find the area bounded by the curve x^2 = 4y and the line x=4y-2.

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  12. Find the area of the region bounded by the curve y^2 = 4x and the lin...

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  13. Area lying in the first quadrant and bounded by the circle x^2 + y^2 =...

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  14. Find the area of the region bounded by the curve y^2 = 4x, y-axis and ...

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  15. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  16. Calculate the area of the region enclosed between the circles : x^2 + ...

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  17. Find the area of the region bounded by the curves y = x^2, y = x, x...

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  18. Using integration find the area of the region bounded by the triangle ...

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  19. Using integration find the area of triangle whose sides are given by t...

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  20. Smaller area enclosed by the circle x^2+y^2 = 4 and the line x + y = ...

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  21. Area lying between the curve y^2 = 4x and the line y = 2x is :

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