HSC Commerce इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Using integration, find the area of the region bounded by the line y – 1 = x, the x-axis and the ordinates x = – 2, x = 3

Find the area of the region lying in the first quadrant bounded by the region y = 4x², x = 0, y = 0 and y = 4

Find the area bounded by the curve y = x² and the line y = 4.

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Area bounded by the curve y = x(4 – x) between the limits 0 and 4 with x-axis is

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Area bounded by the curve y = e^–2x between the limits 0 ≤ x ≤ `oo` is

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Area bounded by the curve y = `1/x` between the limits 1 and 2 is

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Area bounded by y = x between the lines y = 1, y = 2 with y-axis is 

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Area bounded by y = e^x between the limits 0 to 1 is

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The area bounded by the parabola y² = 4x bounded by its latus rectum is

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Area bounded by y = |x| between the limits 0 and 2 is

Find the area of the region bounded by the curve between the parabola y = 8x² – 4x + 6 the y-axis and the ordinate at x = 2

Find the area of the region bounded by the curve y² = 27x³ and the lines x = 0, y = 1 and y = 2

Find the order and degree of the following differential equation:

`("d"y)/("d"x) + 2 = x^3`

Find the order and degree of the following differential equation:

`("d"^3y)/("d"x^3) + 3 (("d"y)/("d"x))^3 + 2 ("d"y)/("d"x)` = 0

Find the order and degree of the following differential equation:

`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`

Find the order and degree of the following differential equation:

`("d"^3y)/("d"x^3) = 0`

Find the order and degree of the following differential equation:

`("d"^2y)/("d"x^2) + y + (("d"y)/("d"x) - ("d"^3y)/("d"x^3))^(3/2)` = 0

Find the order and degree of the following differential equation:

(2 – y”)² = y”² + 2y’

Find the order and degree of the following differential equation:

`(("d"y)/("d"x))^3 + y = x -  ("d"x)/("d"y)`

Find the differential equation of the following:

y = cx + c – c³