April 23, 2014

Homework Help: Math(Please check. Thank You)

Posted by Hannah on Saturday, April 30, 2011 at 7:58pm.

1) solve:e^x(x^2-4)=0

e^x=0 and then (x+2)(x-2) so x=2, -2

2) differentiate: y=ln(6x^2 - 3x + 1)

1/(6x^2 - 3x + 1) * 12x-3

3) differentiate: y=e^-3x+2

-3 * e^-3x+2

4) evaluate: 2^4-x=8
2^4-x = 2^3

4-x = 3
-x=-1 so x=1

5) differentiate: x^3 + y^3 -6 =0

3x^2 + 3y^2

6) A rectangular garden has an area of 100 square meters for which the amount of fencing needed to surround the garden should be as small as possible.

a) draw a picture of a rectangle and select appropriate letters for the dimensions
I chose x and y

b)determine the objective and constraint equations

objective: A=xy
constraint= 100=xy

c) find the optimal values for the dimensions.
I am not sure for this one

Thank you for your help!!!

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