1
ans
0
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Prove that:
lim_(nβ+β) [ ln^2 (n)β2β«^( n) _( 0) ((lnt)/( (β(1+t^2 )))) dt ]= (Ο^2 /6)+ln^2 (2)
0
ans
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Question 220968
1
ans
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Question 220403
3
ans
0
cmts
Question 220365
0
ans
0
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Question 220278
0
ans
0
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Question 219076
0
ans
0
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Question 218354
0
ans
0
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Question 218046
0
ans
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Question 218045
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ans
2
cmts
Question 217085
1
ans
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solve x?
(βx) + 11 = 0
1
ans
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cmts
Question 216755
1
ans
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cmts
Question 216526
2
ans
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cmts
Question 216525
2
ans
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Find matrix B if given AB=BA= (((0 0)),((0 0)) )
where A= (((5 3)),((5 3)) ) and B β (((0 0)),((0 0)) )
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ans
1
cmts
Question 214495
1
ans
1
cmts
Question 214447
0
ans
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A β M_(2Γ2) ,and ,det (A)β 0 : A^3 = A^2 + A
β det ( A β2I )=?
2
ans
1
cmts
S^2 = (((14 β5)),((10 β1)) ) .
1
ans
1
cmts
Question 211902
1
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Question 208624
1
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1
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Question 208359
2
ans
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Question 207931
1
ans
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Givem that the matrix A = ((3,1,5),(2,3,5),(5,1,6) ).
If Adj. A = (((13),(-1),(-10)),((13),(-7),(-5)),((-13),2,7) )
(i) find A^(β1)
(ii) Use the result in (i) to find the
values of x, y and z that will satisfy the
equations:
3x + y + 5z = 8
2x +3y + 5z = 0
5x + y + 6z = 13
1
ans
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Question 205306
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ans
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Question 203687
0
ans
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Question 203686
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ans
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Question 203685
2
ans
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If A β M_(2Γ2) , det(A )β 0
, A^( 3) = A^2 +A β Find the
values of det (2A βI )
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ans
6
cmts
Find all possible value
(a/(a+b+d )) +(b/(a+b+c)) + (c/(b+c+d))+(d/(a+c+d))
when a,b,c,d vary over positive
reals
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ans
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cmts
Question 199164
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ans
1
cmts
Question #199155
1
ans
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If ,A β M_(nΓn) , A^( 2) = A ,1β k βR.
Find ( I β kA )^( β1) = ?
1
ans
0
cmts
Question 198743
1
ans
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Prove that
((2tβ1)/(lntβln(1βt)))=β«^( 1) _( 0) t^x (1βt)^(1βx) dx
and β«^( 1) _( 0) ((2tβ1)/(lntβln(1βt)))dt = (Ο/2)β«^( 1) _( 0) ((x(1βx))/(sin(Οx)))dx
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ans
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cmts
Calculer β«^( +β) _( 0) (dt/((e^t βe^(βt) )^2 +a^2 ))
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ans
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cmts
1/ Montrer que β«^( +β) _( 0) (((1βx^2 )^(2pβ1) )/(1βx^(4p) ))dx=((2^(2pβ3) /p))Ο[1+2Ξ£_(k=1) ^(pβ1) cos^(2pβ1) (((kΟ)/(2p)))]
2/ En de^ duire β«^( 1) _( 0) (((1βx^2 )^(2pβ1) )/(1βx^(4p) ))dx
2
ans
4
cmts
(3/(xβ3))+(5/(xβ5))+(7/(xβ17))+((19)/(xβ19))=x^2 β11xβ4
2
ans
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cmts
If A= (((a b c)),((b c a)),((c a b)) ) and a,b,c >0
such that abc=1 and A^T .A=I
find a^3 +b^3 +c^3 β3abc .
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ans
1
cmts
Question 192464
1
ans
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Question 191030
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ans
2
cmts
Question 190860
1
ans
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cmts
a ball is thrown vertically upward
from a point 0.5m above the ground with
speed u = 7m/s
find the height reached above ground
g = 10m/s^2
1
ans
0
cmts
A linear transformation E, of the
xβy plane is defined as
E:(x, y) β (2x+y, 2x+3y)
Find the equation of the line that
remains invariant under the
transformation.
1
ans
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cmts
Question 183863
1
ans
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cmts
determine eigen values and eigen vectors for
each Ξ» . and verify Ax=Ξ»x
A= [(((β3)/2),(β(1/2))),((1/2),( ((β3)/2))) ]
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ans
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cmts
find the rank of the matrix A and B by
following row operation:
A= [(1,2,3,(β1)),((β2),(β1),(β3),(β1)),(1,0,1,( 1)),(0,1,1,(β1)) ]
B= [(( 1),( 2),(β1),( 4)),(( 2),( 4),( 3),( 5)),((β1),(β2),( 6),(β7)) ]
1
ans
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cmts
find the value of cofficent ΞΌ in the following
system from the determinat:
2x_1 +ΞΌx_2 +x_3 =0
(ΞΌβ1)x_1 βx_2 +2x_3 =0
4x_1 +x^2 +4x^3 =0
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ans
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cmts
determine eigenvalues and digonalize
by row operation
[(4,(β9),6,(12)),(9,(β1),4,6),(2,(β11),8,(16)),((β1),( 3),0,(β1)) ]
1
ans
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cmts
A= [(a,b,c),((β2),3,6),(0,(β2),5) ]and B= [(1,2,4),(0,3,9),((β1),2,2) ]
AΓB= [((β1),3,(β1)),((β8),d,(31)),((β5),4,e) ]find the missing value
