Recent content by zeezey

So I got 4ln(4) - 4 . Is this correct?

umm I'm not sure you mean like dx = e^x dy ?

Homework Statement Find the area of the indicated region. Enclosed by y = e^x, y = 2, and the y-axis The Attempt at a Solution So I the area should be integral of e^x - 2 which = e^x - 2x . I'm not sure what to do with the y-axis it mentions?

Oh dang, how did I miss that. Thanks for the help! :)

I tried it that way and the total profit per day turned out to be negative? 11.30x - 0.01x^2 - 5x - 360 +0.001x^2 =-0.009x^2 - 6.30x - 360 f'(x) = 0.018x - 6.30 = 0 x = 6.30/.018 = 350 units -.009(350)^2 - 6.30(350) - 360 = -3667.5. P(x) = 11.30 - 0.01x = 11.30 - 0.01(350) = $7.80

well C(x) is cost yes but in this particular problem it seems to actually be the price equation and P(x) seems to be the cost. in the problem it states that "the price that each deck is sold for varies based on the equation given by P(x) = 11.30 - 0.01x"

Well I was using the equation Profit = Price * Quantity - Cost . I was just trying to fit this equation into what I was given. I'm not sure how to then if that equation I came up with was incorrect.

Ok, so the two answers I got were 36.96 and 3296.94 ? It seems like 36.96 would works in the equations I need to plug into since I get $10.96 max price and $365.5 max profit but 36.96 total units seems off?

Homework Statement daily Cost function C(x) = 5x + 360 -0.001x^2, where x is the number of decks company produces each day and daily cost is in dollars. Suppose that the price that each deck is sold for varies based on the equation given by p(x) = 11.30 - 0.01x, where p is the price per deck...

What am I supposed to get if I plug those numbers into that equation? Those points are valid if I plug them into the derivative equation I found. Is my derivative wrong ?

Homework Statement Chocolate Box Company is going to make open-topped boxes out of 5 × 14-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the nearest tenth.)...