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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Find least non negative integer r such that 1936xx8789 -= r"(mod4)"
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- What is the number of independent constants in the equations of a plan...
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- What is the antiderivative of 5^(5+x)?
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- What is the order of the matrix B if [2 3 5 -1] B=[1 3 2 5 -4 1] .
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- What is abs(veca-vecb)=if abs(veca)=3,abs(vecb)=4 and abs(veca+vecb)=5...
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- Find the principal value of sin^1(sin"(2pi)/3)
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- What is the value of d/dxint150^300(x^3+3x^2)^3dx ?
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- What is the value of d/dx[lnsin^(-1){cos((pi-2e^x)/2)}] ?
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- Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof ...
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- If y=sinx+cosx then what is [dy/dx]^2.
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- Prove that f:X rarr Y is surjective iff for all B sube Y, f(f^(-1)(B))...
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- Find the maximum value of Z = 2x + 3y subject to conditions x+ yle1 an...
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- Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][...
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- Show that the relation ~ on ZZ-{0}timesZZ-{0} defined by (m,n)~(p,q)Le...
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- Solve by matrix method. 2x + y = 5 , x-y =1
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- If A=[[(1,1)],[(1,1)]] and n inN, then A^n=2^(n-1)A .
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- If [[(x,y)],[(x,x/2+x)]]+[[(y,x+t)],[(x/2,x/2)]]=[[(1,4)],[(2,2)]] the...
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- Evaluate the determinant abs((4,6,-2),(1,-4,3),(7,-2,1)
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- If abs((a,b,a-b),(b,c,b-c),(2,1,0))=0 , then prove that a,b,c are in G...
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- evaluate lim(xto1)(x^2-3x+2)/(x-1) .
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