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Find the approximate change in the volum...

Find the approximate change in the volume `V` of a cube of side `x` meters caused by increasing side by `1%dot`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. Discuss the extremum of f(x)=asecx+bcos e cx ,0ltaltb

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  3. Find the approximate change in the volume V of a cube of side x meters...

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  4. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

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  5. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

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  6. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

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  7. In a triangle ABC if the sides a, b be constant and the base angles A ...

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  8. If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then f...

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

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  10. Prove that there exist exactly two non-similar isosceles triangles A B...

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

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  12. Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot

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  13. Find the approximate value of (1. 999)^6 .

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  14. Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0

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  15. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  16. Find the value of a if x^3-3x+a=0 has three distinct real roots.

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  17. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

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  18. The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Fi...

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  19. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

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