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A ladder placed against a vertical walls ubtends an angle of 45 degree with thewall The distance between the footo f the ladder and the wall is 15mt calculae the length of the ladder correctto the nearest whole number. |
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prove that : ⌊((√(10^(2k) −1))/3)⌋ = ((10^k −1)/3) |
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1+(5/2)+(9/4)+((13)/8)+((17)/(16))+...... |
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find ∫_(−5) ^5 ((√(25−x^2 )))dx whithout using trigonometric compensation |
∫_0 ^(log(2)) ((e^x −4)/(x +2))dx = ..... {(a)log(2) (b)1−log(2) (c) 1−2log(2) (d)−log(2)} |
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if (f o g )(x) = x and f′(x)=1 + (f(x))^2 then g′(2) = .... |
lim_(n→∞) (Π_(k=1) ^n ((1/k)))^(2/n) |
if y = cos(x^2 ) then y^((n)) = ......... |
99−98((98)/(99)) = ? Can you solve this? |
(1−(1/1))(1−(1/2))(1−(1/3)).....(1−(1/(100)))=? |
To now the real sequence in the follwing image : a_1 =1 ,a_2 =2 a_(nk +1) = ((a_(2k−1) +a_(2k) )/2) ∀ k ∈ Z^+ a_(2k+2) = (√(a_(2k) a_(2k+1) )) then prove that : lim_(n→∞) a_n = ((3(√3))/π) |
solve: x((x^2 −1)!) = 5((x−1)!) |
(7/?) = ((21)/(27)) = ((7/3)/?) |
Dear Forum-Friends There′s a trend to make answers short in the forum. To follow this trend some friends are omitting key-steps and for this reason the answers become difficult to understand and many readers like me are compelled to leave out such answers at the price of no-understanding!!! So please omit only calculation steps in order to make your answers short-&-understandable. |
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if y^((n)) is the derivative of the function y of the order n, then ∫y^((n)) dx =........ |
find (d^n y/dx^n ) for f(x)^ =(1/(√(1−x))) |
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