Homework Statement
A particular parcel sercive will accept only packages with length no more than 128 inches and length plus girth(xz)(width times height) no more than 145 inches.
What are the dimensions of the largest volume package the parcel service will accept?
This is the problem...
Homework Statement
A closed rectangular box is made with two kinds of materials. The top and bottom are made with heavy-duty cardboard costing $0.36 per square foot, and the sides are made with lightweight cardboard costing $0.06 per square foot. Given that the box is to have a capacity of...
Homework Statement
f(x,y)=xy+(144/x)+(12/y)
f has a relative minimum at ( , , )
Homework Equations
Partial derivatives
The Attempt at a Solution
fx=y-(144/x^2)
fy=x-(12/y^2)
I setted these to zero. Multiplies both sides so there is no fraction.
Came out to be...
Homework Statement
(e^0.16)/(1+e^-0.3y)
I am suppose to find the fy
of this
Homework Equations
A bit trickier than the last prob i posted
The Attempt at a Solution
What I did:
Since (e^0.16) is a constant, I left it just like that and took the derivative of e(-0.3y)
my outcome...
Homework Statement
f(x,y)=e^(3x+9y)
find fsubxx
Homework Equations
The Attempt at a Solution
I got e^(3x+9y)3, but the stupid web assign won't take it as an answer. I am pretty sure this is the correct answer. Am i wrong? Please help =).
Homework Statement
right now i have to solve a certain problem and in order to do so I need to know how to change ln(5y)=(x-3)^-1+C into a y= format where only y is on the left and x is on the right Any help is very appreciated, thanks
Homework Equations
The Attempt at a Solution...
Homework Statement
Sales of the text Calculus and You have been declining continuously at a rate of 4% per year. Assuming that Calculus and You currently sells 4800 copies per year and that sales will continue this pattern of decline, calculate total future sales of the text.
Homework...
Homework Statement
what is the antiderivative of e^ln(4)x
Homework Equations
The Attempt at a Solution
Ok someone told me that the antiderivative of 4^x is e^ln(4)x. So what would be the antiderivative of e^ln(4)x? I need these antiderivatives in order to solve my homwork...
alright Ill try that, thanks for the advice. And by the way do you perhaps know the antiderivative of e^(ln(4)*x)? Because on this one certain problem i had to find the antiderivative of 4^x which i found to be e^(ln(4)*x) but i can't seem to know how to find the antiderivative of e^(ln(4)*x)...
Homework Statement
evaluate the integral of 25x^2lnxdx
Homework Equations
The Attempt at a Solution
First thing I did was set 25x^2 as D, then set lnx as I. Derivative of 25x^2 is 50x. The antiderivative of lnx is xlnx-x. Therefore it turned out to be something...
Homework Statement
I have to evaluate the integral of (x-9)4^xdx
Homework Equations
Integration by parts
The Attempt at a Solution
I setted the (x-9) as D and the 4^x as I. The problem is that I am not sure what the antiderivative of 4^x would be. I am guessing its mostly like...
I am suppose to evaluate this integral by using substitution
f'(x)=(e^-0.5x)/(1-e^-.5x)
I will be very thankful if someone were able to tell me a strategy in antiderivitating fractional problems.
What I did:
I set u=-0.5x
dx=du/-0.5
therefore i got (-1/0.5)((e^u)/(1-e^u))du
I...