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Mathematics: Post your doubts here!

OrlandoBloom<3

OrlandoBloom<3

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leadingguy said:
divide ( x^4 + 3x^3 + ax + 3 ) by( x^2 - x + 1)

before dividing it.. complete this eq. ( x^4 + 3x^3 + ax + 3 )

it wil be aftr completion as ( x^4 + 3x^3 ox^2 + ax + 3 ) we just added " 0x^2 " to to complete the sequence of power

now divide u wil get the value of a
Click to expand...
Ummm okaaayy.. Thanks anyways :)
 
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2pac

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can someone please help we with q10 (b) of oct 2011 32.It asks for the greatest value of argument and I am not even sure how to do the least value.Could someone please explain me this?
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_ms_32.pdf
On a sketch of an Argand diagram, shade the region whose points represent the complex numbers z which satisfy the inequality |z − 3i | ≤ 2. Find the greatest value of arg z for points in this region.
thanks
 
leadingguy

leadingguy

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ousamah112 said:
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w10_ms_32.pdf
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w10_qp_32.pdf
Click to expand...


eq. of a line, AB r = a + λ( b-a ).... here a and b are the co-ordinates of the points. as given in question.

AB= r = (1 2 2) + λ( 2 2 -2)

part 2)

find eq. of the line OP by same method

r = O + λ( P-O )

co-ordinates of O are are (0 0 0) and of P are ( x y z )

now hoe to find points x y z ????
it is stated that the point P lies on the line AB
that means the co-ordinates could be

x= 1 + 2λ
y= 2 + 2λ these co-ordinates r driven frm da eq. of line AB so cud b any point on AB. so cnsider dem to b point P!!
z= 2 - 2 λ

now the line AB and OP are perpendicular so the angle in between them will be 90 degree

using this fact form an eq. (2 2 -2).( x y z ) = (magnitude of (2 2 -2)) .(magnitude of (xyz)).cos(90

cos90 = 0 so the R.H.s wil be zero

now solve the left hand side fr value of "λ"

u wil get the value now puit it in x y z and get the co-ordinate of point p
 
ousamah112

ousamah112

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leadingguy said:
eq. of a line, AB r = a + λ( b-a ).... here a and b are the co-ordinates of the points. as given in question.

AB= r = (1 2 2) + λ( 2 2 -2)

part 2)

find eq. of the line OP by same method

r = O + λ( P-O )

co-ordinates of O are are (0 0 0) and of P are ( x y z )

now hoe to find points x y z ????
it is stated that the point P lies on the line AB
that means the co-ordinates could be

x= 1 + 2λ
y= 2 + 2λ these co-ordinates r driven frm da eq. of line AB so cud b any point on AB. so cnsider dem to b point P!!
z= 2 - 2 λ

now the line AB and OP are perpendicular so the angle in between them will be 90 degree

using this fact form an eq. (2 2 -2).( x y z ) = (magnitude of (2 2 -2)) .(magnitude of (xyz)).cos(90

cos90 = 0 so the R.H.s wil be zero

now solve the left hand side fr value of "λ"

u wil get the value now puit it in x y z and get the co-ordinate of point p
Click to expand...
part iii...????
 
leadingguy

leadingguy

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Mobeen said:
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s03_qp_3.pdf
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s03_ms_1 2 3 4 5 6 7.pdf
Q5 please!
Click to expand...



w is having magnitude 1 and argument 2/3pi

means we can represent w by r (cos(x + sin( x)

now r is magnitude .... 1
cosx and sinx wil be cos2/3pi and sin 2/3pi so w wil be 1(cos(2/3pi) + sin(2/3pi)) ;)

u is given as 2i means the real part is zero so u can be represented by 0 + 2i

now u.w wil be ( 0 + 2i ).(cos(2/3pi) + sin(2/3pi))

solve it to get the ans

and u/w wil be ( 0 + 2i )/(cos(2/3pi) + sin(2/3pi)) any cmplex in fractional frm when is to be changed into x+yi is always to be mutiplied and divided by conjugate base.

so u/w wil be ( 0 + 2i )/(cos(2/3pi) + sin(2/3pi)) * ((cos(2/3pi) - sin(2/3pi)) )/((cos(2/3pi) - sin(2/3pi)) )

solve it to get the ans

hope u gt what i said ??
 
Echelon94

Echelon94

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Becky250892 said:
Can someone help me with June 2011 / P33 / q8. I do not get how to differentiate it?
The diagram shows the curve y = 5sin^3xc os2x for 0 ≤ x ≤ 1/2π, and its maximum point M.
(i) Find the x- coordinate of M.
(ii) Using the substitution u = cos x, find by integration the area of the shaded region bounded by the curve and the x-axis.
Click to expand...

there you go...
J11 (33) - 8.png
 
Echelon94

Echelon94

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2pac

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can someone please help we with q10 (b) of oct 2011 32.It asks for the greatest value of argument and I am not even sure how to do the least value.Could someone please explain me this?
http://www.xtremepapers.com/papers/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w11_ms_32.pdf
On a sketch of an Argand diagram, shade the region whose points represent the complex numbers z which satisfy the inequality |z − 3i | ≤ 2. Find the greatest value of arg z for points in this region.
thanks​
 
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