UNITED BOOK HOUSE-SET 5-EXERCISE
- The principal value of sin^(-1)sin((3pi)/4) is
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- If A is a square matrix, then A-A' is
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- If y= tan^(-1)((1-x)/(1+x)), then (dy)/(dx)|(x=1)
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- If f(x) is an add function then overset(a)undert(-a)f(x)dx is equal to
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- If the rate of change of volume of a shpere is equal to the rate of th...
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- For two vectors veca and vec b, (veca. vecb)^2+(vec axxvec b)^2=
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- The equation of a plane parallel to z-axis is
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- A die thrown twice. If A is the event of getting a multiple of three i...
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- Prove that the binary operation O defined by a o b = a-b+ab, AA a,b in...
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- The value of tan^2 (sec^-1 2)+ cot^2(cosec^-1 3) is
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- Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal ma...
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- Without expanding show that |[27,40,58],[24,36,52],[18,28,40]|=0
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- If f(x)= {((tan 3x)/(4x),xne0 ),(k, x=0):}, then for what value of K, ...
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- lf y=sqrt((1-x)/(1+x)) find dy/dxand prove that (1-x^2)(dy)/(dx)+y=0
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- Evaluate: int (x^2+1)/(x+1)^2 dx
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- Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.
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- solve : (dy)/(dx) = (1-cos x)/(1+ cosx)
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- Find the interval in which the function f(x)= x^3-6x^2+9x+5 is decrea...
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- If vec a= 4 hati- hat j-3hat k and vec b = -2 hat i+hat j+2 hat k are ...
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- Find the equation of the plane passing through the point (4,1,1) and p...
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