USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Evaluate int0^1(x^5)/sqrt(1-x^2) dx
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...
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- Find the equation of the plane passing through the line x = y = z and ...
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- Find the equation of the line through (-1,0,1) and perpendicular to th...
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- Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...
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- Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...
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- Prove the following by vector method. Altitudes of a triangle are conc...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Let f : R to R be defined by f(x)=3x+5. Show that f is bijective. Find...
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- Prove that tan (pi/4+1/2cos^(-1)""a/b)+tan(pi/4-1/2cos^(-1)""a /b)=(2b...
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- Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...
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- Find the extreme points of the following functions. Specify if the ext...
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- Show that f(x)=[3x+ 11] is discontinuous at x=-11/3
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- Find the solution of the following differential equations: (4x+6y+5)dx...
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- int0^pi(xdx)/(1+sinx)
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- Show that int0^pixInsinx=pi^2/2In1/2
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- If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...
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- What is F’(x) if F(x)=int0^xe^(3t)cos4t dt ?
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- Find r if -501 in[r]5.
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