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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If y=e^x+a^x+x^x, then find dy/dx at x=a
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- Show that the semivertical angle of a cone of given slant height is ta...
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- If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...
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- If a line in the space makes angles alpha, beta and gamma with the c...
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- If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...
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- If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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- Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...
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- 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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