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Mathematics: Post your doubts here!

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View attachment 23651

Anyone part (i) please

Thank you!
its quite simple :D
all you need to know are the basic concepts like cos (A - B)= cos A cos B + sin A sin B :)
and cos (A + B)= cos A cos B - sin A sin B
soooo
cos (3x-x) = cos3x cosx - sin3x sinx
cos (3x + x) = cos3x cosx + sin 3x sinx
now you subtract these two and get 2sin3x sinx
divide it by 2
and wallah you get the answer sin3x sinx :D
 
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CHALLENGING QUESTION !!!

i think this question is GOING to come this year and i am 100 % sure !!
so any help ???

A ball is dropped froma height of 2m above a hard floor.
After each bounce , a ball rises to 3/4 of its previous height.

(a) how far has it travelled in total when strikes the ball for the nth term?
(b) show that the ball never travels more than 14 m in total .

i tried my best but never got it !

(a) ans is 14 - 16 * 0.75 ^n metre
 
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1,601
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CHALLENGING QUESTION !!!

i think this question is GOING to come this year and i am 100 % sure !!
so any help ???

A ball is dropped froma height of 2m above a hard floor.
After each bounce , a ball rises to 3/4 of its previous height.

(a) how far has it travelled in total when strikes the ball for the nth term?
(b) show that the ball never travels more than 14 m in total .

i tried my best but never got it !

(a) ans is 14 - 16 * 0.75 ^n metre
are you sure this is the question ?
maybe you are missing something
cause you can't just get 14 and 16 in the answer when the height is only 2m !
 
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Hi.

A curve C has the equation
quest11.jpg

a) (i) Show that:
quest12.jpg

(ii) Hence find the coordinates of the stationary point on the curve C
(iii) Show that this stationary point is a point of inflection.
 
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CHALLENGING QUESTION !!!

i think this question is GOING to come this year and i am 100 % sure !!
so any help ???

A ball is dropped froma height of 2m above a hard floor.
After each bounce , a ball rises to 3/4 of its previous height.

(a) how far has it travelled in total when strikes the ball for the nth term?
(b) show that the ball never travels more than 14 m in total .

i tried my best but never got it !

(a) ans is 14 - 16 * 0.75 ^n metre

Mechanics?
 
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Yea.. it seems so .. but if it were GP. The sum to infinity is 8 and not 14 and nth term would be 2(1-(3/4)^n)/(1-3/4).
2-2(0.75)^n/0.25

8-8(0.75)^n would be the answer.
looks like its not mechanics :p
no wonder i couldn't get it :p
 
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