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#1 Re: Help Me ! » Application in the derivative ..? » 2010-01-29 23:11:43

The questions from this book "Mathematics HL - International Baccalaureate Diploma Programme"

I don't have any information about how they determine P ..

but I think this is the solution :

W = t^2 + t + 1.
dW/dt = 2t + 1.
Plug in t = 3 s to get
dW/dt = 2(3) + 1 = 7 (presumably 7 Pa/s).


regards ^_^ ..

#2 Re: Help Me ! » Application in the derivative ..? » 2010-01-29 21:30:25

Thank's alot dear bobbym ..

this forum now in my favorites ..

regards..

#3 Re: Help Me ! » Application in the derivative ..? » 2010-01-28 22:46:21

Nice, but why you make the first derivative for the rate of climb ??

regards .

#4 Re: Help Me ! » Application in the derivative ..? » 2010-01-27 23:21:26

Hi bobbym ..

Now I feel that these applications were easy. I really really thank you my friend for this solution .

Regards ..^_^

#5 Help Me ! » Application in the derivative ..? » 2010-01-27 03:03:40

explore
Replies: 9

I hope that someone help me in solving these application. (plz, I want to solution step by step)..


Q1:

A Cassna plane takes off from an airport at sea level and it's altitude (in feet) at time t (in minutes) is
given by h= 2000 ln (t+1) .
find the rate of climb at time t = 3min .


Q2:

If the variable sound power W is given by W = T^2 + t + 1 , Find the rate of change of the sound
pressure P , at time t= 3 s .


Q3:

A computer is programmed to inscribe a series of rectangle in the first quadrant under the curve of y=e^-x
What is the greatest area of the largest rectangle that can be inscribed ? .


Q4:

A point moves along the x axis so that it's position x at time t is specificed by the function x(t)= t^3-8t+8 .
determine the following :
a- the acceleration at times when the velocity is zero .
b- the average velocity over the time interval (0,6) .


I'm sorry for all this quastion ..

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