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Use differential to approximate sqrt(36....

Use differential to approximate `sqrt(36. 6)`

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To approximate \( \sqrt{36.6} \) using differentials, we can follow these steps: ### Step 1: Define the function Let \( y = \sqrt{x} \). We want to approximate \( y \) when \( x = 36.6 \). ### Step 2: Choose a point close to \( 36.6 \) We can choose \( x = 36 \) because it is a perfect square and close to \( 36.6 \). ...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-SOLVED EXAMPLES
  1. Use differential to approximate sqrt(36. 6)

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  2. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

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  3. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

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  4. The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(...

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  5. If the radius of a sphere is measured as 9 cm with an error of 0.03 c...

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  6. Find the approximate change in the volume V of a cube of side x meter...

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  7. Find the maximum and minimum values of f , if any, of the function gi...

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  8. Find the maximum and the minimum values, if any, of the function f gi...

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  9. Find all points of local maxima and local minima of the function f gi...

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  10. Find the maximum and the minimum values, if any, of the function give...

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  11. Let f(x)=3x^(4)+4x^(3)-12x^(2)+12. Find local maximum and minimum valu...

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  12. Find all the points of local maxima and local minima of the function ...

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  13. Find all the points of local maxima and local minima of the function ...

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  14. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

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  15. Let AB and CD be two vertical poles at point A and B , respectively ,...

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  16. If the length of three sides of a trapezium other than the base is 1...

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  17. Find two positive numbers whose sum is 15 and the sum of whose square...

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  18. Find the shortest distance of the point (0, c) from the parabola y=x^2...

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

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  20. Find the absolute maximum and minimum values of a function f given ...

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