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The amount of pollution content added in air in a city due to `x` diesel vehicles is given by `P(x)=0.005x^3+0.02x^2+30x.` Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above question.

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The amount of pollution content added in air in a city due to x-diesel vehicles is given by P(x)=0. 005 x^3+0. 02 x^2+30 xdot Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above question.

The amount of pollution content added in a ir in a city due to x-diesel vehicles is given by p(x)= 0.005x^(3) + 0.02x^(2) + 30x . Find the marginal increase in pollution content when 3 diesel vehicles are added.

The total cost function is given by C(x) = 2x^(3)-3.5x^(2) +x . Find the marginal average cost function.

The revenus function is given by R (x) = 100 x -x ^(2) -x ^(3) . Find Marginal revenue function.

The total cost C(x) in rupees, associated with the production of x units of an item is given by C(x)=0.05x^(3)-0.01x^(2)+20x+1000 . Find the marginal cost when 3 units are produced .

If C=0.003x^3+0.02x^2+6x+250 gives the amount of carbon pollution in air in an area on the entry of x number of vehicles, then find the marginal carbon pollution in the air, when 3 vehicles have entered in the area.

The total cost C (x) in Rupees associated with the production of x units of an item is given by C (x)= 0.007 x^3- 0.003 x^2 +15x+ 4000 . Find the marginal cost when 17 units are produced.

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0. 005 x^3-0. 02 x^2+30 x+5000 . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change

The total revenue received from the sale of x units of a product is given by R(x) = 20 x - 0.5x^(2) . Find Marginal revenue

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x)=0. 005 x^3-0. 02 x^2+30 x+5000 . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int(dx)/(sqrt(5-4x-2x^2))

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  2. Prove that the radius of the right circular cylinder of greatest cu...

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  3. The amount of pollution content added in air in a city due to x diesel...

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  4. An open box with a square base is to be made out of a given quantity...

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  5. Solve the following differential equation: (dy)/(dx)+ycotx=4x\ cos e c...

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  6. Find the particular solution of the differential equation: (1+e^(2x))d...

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  7. Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...

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  8. If vec a= hat i+ hat j+ hat k ,\ \ vec b=4 hat i-\ 2 hat j+3 hat k a...

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  9. Prove, using properties of determinants: |[y+k, y, y],[ y, y+k, y],[...

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  10. Consider f: R^+ rarr [4, oo] given by f(x)=x^2+4. Show that f is inver...

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  11. What are the direction cosines of a line, which makes equal angles ...

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  12. Evaluate: int(dx)/(x(x^5+3))

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  13. Find the value of k so that the function f defined by f(x)={(kcosx)/(...

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  14. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

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  15. Find the vector and cartesian equations of the line passing through...

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  16. Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|

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  17. What is the principal value of cos^(-1)cos((2pi)/3)+sin^(-1)sin((2p...

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  18. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

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  19. Evaluate: int(dx)/(sqrt(1-x^2))

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  20. Evaluate: int(a x+b)^3dx

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