Posted by Hannah on Saturday, April 30, 2011 at 7:58pm.
1) solve:e^x(x^24)=0
e^x=0 and then (x+2)(x2) so x=2, 2
2) differentiate: y=ln(6x^2  3x + 1)
1/(6x^2  3x + 1) * 12x3
3) differentiate: y=e^3x+2
3 * e^3x+2
4) evaluate: 2^4x=8
2^4x = 2^3
4x = 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!!!

Math(Please check. Thank You)  bobpursley, Saturday, April 30, 2011 at 8:28pm
1. e^x can never equal zero, but can approach it as x>>infinity
But the roots are in fact 2,2
2 correct
3 e^(3x+2)=e^3x * e^2
then y'= 3e^3x * e^2=3e^(3x+2)
4, correct
5. No.
x^3+y^3=0 You can do implicit differentation, but I am not certain you know that.
y^3=x^3
y= cubroot x^3=x
y'=1
6) xy=100 constraint
Perimeter= 2x+2y objective
dP/dx= 2+ d2(200/x)/dx= 2400/x^2 =0
2x^2=400
x=10 Y=10 is minimum fencing

Math(Please check. Thank You)  Mgraph, Saturday, April 30, 2011 at 8:50pm
5) (x^3+y^36)'=3x^2+3y^2*y'=0
y'=x^2/y^2, where y=(6x^3)^(1/3)

Math(Please check. Thank You)  bobpursley, Saturday, April 30, 2011 at 8:53pm
I agree, Mgraph, thanks.

Math(Please check. Thank You)  Hannah, Saturday, April 30, 2011 at 11:22pm
Thank you!!
Answer This Question
Related Questions
 trigo help!  1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. ...
 MATH  hi i was just wondering if u could help me with this math problem. find ...
 Calculus  How do I differentiate ln (2X^2  12X + Y^2 10Y) and the second ...
 Calculus  I'm having problems with this one. Can't get the right answer. ...
 math  How can the teacher differentiate instruction when teaching number sense...
 Algebra. Please check my answers  Evaluate a/b+c^d for a=6,b=3,c=4 and d=5 A.42...
 Calculus  THANK YOU TUTORS SO MUCH FOR YOUR HELP Determine the intervals on ...
 Math  Can someone please check my answers below for accurateness? The ...
 calculus  I have been asked to solve this two different ways. The first way is ...
 Differentiation  Differentiate the following (1) 12x^3  6x  2 (2) 1/4x^4  2x...
More Related Questions