answer any two questions 4. evaluate : l...

answer any two questions 4. evaluate :` lim _(n rarr infty) [n/(n^2+1^2) +n/(n^2+2^2)+...+1/(2n)]`.

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE

show that A(2,3,-4),B (1,-2,3) and C(3,8,-11) are collinear.
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if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , ...
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(e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that ...
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if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...
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if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...
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(b) answer the following questions: 1. if A=[[1,2,2],[2,1,2],[2,2,1]],...
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if AB=[[i,-i],[-i,i]] and B=[[1,-1],[-1,1]], then show that A^8=128B
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Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...
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if cos y=x cos (a+y), (a!= 0) , then show that dy/dx= cos ^2(a+y)/sin ...
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answer the foll. Questions 2. evaluate : int sqrt(1+sec x dx).
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or, evaluate : int dx/((x-1)+ sqrt(x^2-1)
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answer the foll. Questions 3. solve :(e^x+1)y dy-(y^2+1) e^x dx=0 , gi...
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(d) answer ANY one question :1. bar a, bar b and bar c be three vector...
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answer any one question 2. if sum of two unit vectors be a unit vector...
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(e)answer any one question : 1. using integral calculus , find the are...
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answer any one question 2. prove that int1^3 dx/(x^2(x+1))=2/3+ log (2...
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answer any one question : 2.eight unbiased coins tossed . Find the pro...
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answer any two questions :2.solve (1+x^2)dy+2xy dx=cot x dx.
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answer any two questions 4. evaluate : lim (n rarr infty) [n/(n^2+1^2)...
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