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Mathematics: Post your doubts here!

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help please! I am always confused with rates questions ! if you can please tell me the method of doing these questions
 

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when scaler product less then 1 we sayy acute if greater then 1 then obtuse
other is simple integration
ok thanks.. igot the integration one by myself already but thanks all the samee :)
and yeah our teacher never told us this ..... thanks o_O
 
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help please! I am always confused with rates questions ! if you can please tell me the method of doing these questions

dA/dt = DA/dr * dr/dt

where t is time
r is radius and
A is area ..
dA/dt is change in Area and
dr/dt is change in radius .. and
DA/dr is the diffrentiation of Area with respect to radius..

A= πr^2
DA/dr = 2πr
DA/dr at start = 2π*50 = 100π


DA/dt = DA/dr * dr/dt
DA/dt = 100π*3
DA/dt = 300π

The Area is increasing at a rate of 300π per second
 
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This is CIE making life difficult for us...

To get the vectors we will find the unit vector and multiply by the magnitude..

OA = Unit Vector .. 3i − 4k/√25

15/5(3i-4k)
=3(3i-4k)
=9i-12k

Unit Vector of OB = 2i + 3j − 6k / √(2^2)+3^2+(-6^2)
Unit Vector of OB = 2i+3j-6k/7

OB = 14/7(2i+3j-6k)
OB = 2(2i+3j-6k)
OB = 4i+6j-12k
 
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dA/dt = DA/dr * dr/dt

where t is time
r is radius and
A is area ..
dA/dt is change in Area and
dr/dt is change in radius .. and
DA/dr is the diffrentiation of Area with respect to radius..

A= πr^2
DA/dr = 2πr
DA/dr at start = 2π*50 = 100π


DA/dt = DA/dr * dr/dt
DA/dt = 100π*3
DA/dt = 300π

The Area is increasing at a rate of 300π per second
thanku , this helped me a lot !...
 
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