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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...
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- int(x^2+1)/(x^4+x^2+1)dx
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- Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2
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- Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...
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- If A is a non-singular square matrix of order n, then what is abs(adj ...
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- Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.
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- 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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