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The total number one-one function from a...

The total number one-one function from a finite set with m elements to a set with n elements form>n is

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SHARAM PUBLICATION-MODEL QUESTION PAPER -17-EXERCISE
  1. The total number one-one function from a finite set with m elements to...

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  2. If "tan"^(-1)(sqrt(3))+"cot"^(-1)x=pi/(2), then find x.

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  3. What is the value of |[0,8,0],[25,520,25],[1,410,0]|?

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  4. Write the matrix which when added to the matrix [{:(2,-3),(-4,7):}]gi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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