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If the radius of a sphere is doubled, th...

If the radius of a sphere is doubled, then its volume is increase by __________.

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SHARAM PUBLICATION-MODEL QUESTION PAPER -17-EXERCISE
  1. Write the matrix which when added to the matrix [{:(2,-3),(-4,7):}]gi...

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  2. Find (dy)/(dx) when y=cot^-1tan(pi/2-x)

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  3. If the radius of a sphere is doubled, then its volume is increase by .

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  4. int0^(pi/2)In(tanx+cotx)dx

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  5. Write the order of the differential equation of the system of ellipse ...

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  6. If vectors vec(a) and vec(b) are such that vec(a) = 3, |vec(b)| = (2)/...

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  7. Find the direction cosines of the line (4-x)/2=y/2=(1-z)/3

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  8. For what valueof K is the following function continuous at x = 2 ?f(x)...

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  9. If x=acost,y= tsint then find (dy)/(dx)

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  10. Differentiate the function x^(cosx)w.r.t.x

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  11. Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4

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  12. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  13. Write the value of x-y+z from the relation [[x+y+z],[x+z],[y+z]]=[[4],...

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  14. Find the transpose of the matrix [[3,-2,-4],[3,-2,-5],[-1,1,2]].

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  15. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

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  16. Using the properties of determinants prove that |{:(a+b+2c,a,b),(c,b...

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  17. Evaluate int(x+sqrt(x^2+a^2))dx

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  18. Evaluate intcosec^2xsqrt(cotx)dx

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  19. Prove that int0^(pi/2)lnSinxdx=-pi/2ln2

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  20. Determine the area of the region between the curves y=cosx and y=sinx,...

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