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If M=[(1,1,1),(1,1,1),(1,1,1)],then what...

If `M=[(1,1,1),(1,1,1),(1,1,1)]`,then what is `M^50` ?

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. tan{(1/2)sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-y^(2))/(1+y^(2)))}.

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  2. What is the angle between vecaand vecb if abs(veca+vecb)=abs(veca-vecb...

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  3. If M=[(1,1,1),(1,1,1),(1,1,1)],then what is M^50 ?

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  4. Write the value x for which d/dxsin(sin^-1x)=1

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  5. What is the value of int(-1)^(1)ln(frac[4-x][4+x])dx?

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  6. Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=...

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  10. Let f = {(1,3), (2,4), (3,7)} and g = {(3,2), (4,3), (7,1)} determine ...

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  11. Prove that abs[[b+c,c+a,a+b],[q+r,r+p,p+q],[y+z,z+x,x+y]]=2abs[[a,b,c]...

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  13. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

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  15. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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  20. If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.

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