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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
- Find the identity elements if any for the binary operations defined by...
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- Let f:Rto(-1,1) be defined by f(x)=x/(1+x^2),x in R. Find f^(-1) if ex...
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- Show that AxxA is an equivalence relation on a non-empty set A. What i...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- Let R be the relation on Z defined by aRb iff a-b is an even integer. ...
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- Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2).
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- Directions (Q. Nos. 16-25) Prove the following "cos"(2"tan"^(-1)1/(7...
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- Prove that 2tan^-1(cosectan^-1x-tancot^-1x=tan^-1x.
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- Prove that 1/2cos^-1x=sin^-1sqrt((1-x)/2)=cos^-1sqrt((1+x)/2).
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- If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.
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- Slove: tan(cos^-1x)=sin(cot^-1""1/2)
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- Find the feasible region of the inequations x+2ylt8, 2x+ylt8 and xgt0,...
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- Find the feasible region of the inequations 2x1+4x2gt40, 3x1+2x2gt60, ...
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- Shade the feasible region satisfying ineuations x1+2x2ge10, 2x1+2x2ge1...
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- Shade the feasible region satisfying ineuations x+2yle10, x+yge1, x-yl...
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- Shade the feasible region satisfying ineuations 4x+3yle60, 2x-yle0, x-...
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- Prove that the following sets A,B,C D are equivalent. WhereA={1,2,3,4,...
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- Let n be a positive integer,and a function f be defined as follows:{(0...
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- Let f be an invertible function . Then prove that (f^(-1))^(-1) = f.
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- If P(A/B) gt P(A) then prove that P(B/A) gt P(B)
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