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Using differentials, find the approxi...

Using differentials, find the approximate value of `f(2. 01),` where `f(x)=4x^3+5x^2+2.`

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To find the approximate value of \( f(2.01) \) using differentials, we will follow these steps: ### Step 1: Define the function We are given the function: \[ f(x) = 4x^3 + 5x^2 + 2 \] ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

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

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  3. Using differentials, find the approximate value of f(2. 01), where ...

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  4. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

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  5. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

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  6. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  7. Often it is taken that a truthful person commands, more respect in ...

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  8. integrate thisint ( x^2+1)/(x^2-5x+6)dx

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  9. In a group of 50 scouts in a camp, 30 are well trained in first aid...

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  10. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  11. Find the particular solution of this differential equation (x^2dy)/(dx...

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  12. A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. Th...

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  13. If the sum of the lengths of the hypotenuse and another side of a rig...

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  14. The area of the region bounded by the curve x^(2)=4y and the straight ...

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  15. A die is thrown again and again until three sixes are obtained. Fin...

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  16. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  17. Evaluate : int(-1)^2|x^3-x|\ dx

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  18. Evaluate: int(5x-2)/(1+2x+3x^2)dx

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  19. Evaluate : int(sin(x-a))/(sin(x+a))dx

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  20. Differentiate the following function w.r.t. x : x^(sinx)+(sin x)^(...

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