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Mathematics: Post your doubts here!

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2ii. There are two possible ways to get x^2. One when the first term of the first bracket multiplies with the a term of the power x^2 from the second bracket and another when the second term of the first bracket multiplies with a term of the power x^0 of the second bracket.
Hence, (1) (60x^2) + (x^2) (6C3*(2x)^3 *(-1/2)^3)
= 60 x^2 - 20 x^2 = 40 x^2
Was it that easy o_O ? Ty :D
 
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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s13_qp_12.pdf
Question 2ii) , 4i),iii) , 5i), 6i), 7, 8i,ii) Please.
Some questions I am just stuck on formula like :¬
in question 4 i) dont we use : theta = cos inverse a^2 + b^2 - c^2 / 2(ab) ?
question 5i) how we got R.H.S as 10 ?
question 7) I got (3,9) what next ?

Q4:
i) First find angle COD (or BOA, both are equal):
tan@ = 10/5
@= 1.107 rad
multiply @ by 2 = 2.214 rad (this is angle COD + angle BOA)
angle BOA + angle BOC + angle COD = pi
=> pi - 2.214 = 0.9273 rad

iii) Use the formula A = (1/2)(r)^2 (@) - (1/2) (r)^2 sin

Hope everything makes sense.
 
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Dy/dx= -0.6xy

X=5e^-3t

T=0 y=70

Put y into the eq of dy/dt
- Is a minus ok?
Dy/dx= -0.6y(5e^-3t)
Dy/dt=-3ye^-3t
Putting the ts on one side aND the y on other
Dy(1/y)= dt -3e^-3t
Integrate both sides to remove the d
Lny= (-3e^-3t)/-3
ny=e^-3t +c
Wen t=0 y=70
Ln70= 1+c
C=ln70-1
Putting it bak into eq
Lny=e^-3t +ln 70 -1
Lny-ln70=e^-3t -1
By log property
Ln(y/70)= (e^-3t ) -1
y/70= e^((e^-3t)-1)
y=70 e^((e^-3t)-1)
 
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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s13_qp_12.pdf
Question 2ii) , 4i),iii) , 5i), 6i), 7, 8i,ii) Please.
Some questions I am just stuck on formula like :¬
in question 4 i) dont we use : theta = cos inverse a^2 + b^2 - c^2 / 2(ab) ?
question 5i) how we got R.H.S as 10 ?
question 7) I got (3,9) what next ?
Q5:
i) a^2 + b^2
= (sin@ - 3cos@)^2 + (3sin@ + cos@)^2
after squaring you end up with
10sin^2@ + 10cos^2@

We know that:
sin^2@ + cos^2@ = 1
=> 10sin^2@ + 10cos^2@ = 10
 
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Ohh my god ! .. I'm confused more now ! :(

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w11_qp_13.pdf
Q9 (iii) part why is it (-5/2) <(or equal to) x < (or equal to) 0 ?

why it is not (-5/2) <(or equal to) x < (or equal to) (5/2)


Hadi Murtaza why are we talking about domain of f(x) and g(x) while we are dealing with gf(x) equation ? isn't it something else ? please explain what is related between all the 3 functions in the domain

Thought blocker If you can explain It will be helpful you know .. :D
 
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