Question 1120060
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A partly varies <i>directly</i> as B and partly varies <i>directly</i> as C.  The qualifier "directly" is assumed because it was not stated, but it is always best to specifically state the nature of the variation, i.e. direct or inverse.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ k_1B\ +\ k_2C]


With the given initial conditions:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4\ =\ 2k_1\ -\ 2k_2]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\ =\ 3k_1\ +\ 1.5k_2]


Solve the 2X2 system for the values of *[tex \Large k_1\ \ ] and *[tex \Large k_2]


Then substitute the now known values of *[tex \Large k_1\ \ ] and *[tex \Large k_2\ \ ] and the new values for A and B into:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ k_1B\ +\ k_2C]


And then solve for C.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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