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Mathematics: Post your doubts here!

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CAn Not dothefirst Part Have Done Therest I Know Its Silly But Can U Plz Show Da Wrking For Part 1 Iam Trying For So Long THANX


(3-λ)i + (-2+2λ)j + (1+λ)k = (4 +µa)i + (4 +µb)j + (2-µ)k

comparing coefficients of k
(1+λ) = (2-µ)

λ = 1 - µ

comparing coefficients of i

(3-λ) = (4 +µa)
3 -1 + µ = 4 + µa
µ = 2/(1-a)

comparing coefficients of j

(-2+2λ) = (4 +µb)
-2 + 2 - 2µ = 4 + µb
0 = 4 + µ(2+b)
0 = 4 + (4+2b)/(1-a)

2a-b = 4
 
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i had some ambiguity in below quest:
1) P(Z>a)=0.8888 , a is negativ,
1-fi(-a)=o.8888
1-[1-fi(a) ]=o.8888
the other solution of quest i found:
2)p(z<t)=0.25, t is negativ
fi(-t)=0.25
1-fi(t)=0.25..
can anyone tell me this difference and concept how to solve such type of quest plzzz:(:(
did anyone help you?
 
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(3-λ)i + (-2+2λ)j + (1+λ)k = (4 +µa)i + (4 +µb)j + (2-µ)k

comparing coefficients of k
(1+λ) = (2-µ)

λ = 1 - µ

comparing coefficients of i

(3-λ) = (4 +µa)
3 -1 + µ = 4 + µa
µ = 2/(1-a)

comparing coefficients of j

(-2+2λ) = (4 +µb)
-2 + 2 - 2µ = 4 + µb
0 = 4 + µ(2+b)
0 = 4 + (4+2b)/(1-a)

2a-b = 4
THANX MAN you Are A Big Help In This Crucial Tym INSHALLAH ALLAH will Reward U :)
 
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as far as i can comprehend you would be having difficult in integrating
cos(2x)/sin(2x) dx
u see differential of sin(2x) is 2cos(2x) ...
to get 2 cos(2x) in numerator just multiply the integral with 2/2
u shall get 1/2 S 2 cos(2x)/sin(2x) ( S denotes integral sign)
now u can integrate using integration by recognition.. it will become
1/2 ln (sin(2x))
 
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as far as i can comprehend you would be having difficult in integrating
cos(2x)/sin(2x) dx
u see differential of sin(2x) is 2cos(2x) ...
to get 2 cos(2x) in numerator just multiply the integral with 2/2
u shall get 1/2 S 2 cos(2x)/sin(2x) ( S denotes integral sign)
now u can integrate using integration by recognition.. it will become
1/2 ln (sin(2x))
can someone solve q2 http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w12_qp_32.pdf
 
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