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If $1200\ \mathrm{cm}^2$ of material is available to make a box with a square base and an open top, find the largest possible volume of the box. The quantity we want to optimize is the volume of the box. Let $V$ be the volume of the box. We want to find the maximum value of $V$.
- calculus - Find the maximum volume of a box with an open top and when ...
$$Volume= xy \left(\frac{A-xy}{2(x+y)}\right)$$ Then I need...
- calculus - Find the maximum volume of a box with an open top and when ...
26 Μαΐ 2020 · After cutting out the squares from the corners, the width of the open-top box will be 5-2x, and the length will be 7-2x. We’re being asked to maximize the volume of a box, so we’ll use the formula for the volume of a box, and substitute in the length, width, and height of the open-top box.
21 Δεκ 2020 · A rectangular box with a square base, an open top, and a volume of \(216 in.^3\) is to be constructed. What should the dimensions of the box be to minimize the surface area of the box? What is the minimum surface area?
Optimization, a box with an open top, given volume, find the minimum surface areaGet a dx t-shirt 👉 https://bit.ly/dxteeUse "WELCOME10" for 10% offSubscribe...
21 Μαρ 2023 · $$Volume= xy \left(\frac{A-xy}{2(x+y)}\right)$$ Then I need to find $\frac{d}{dx} xy \left(\frac{A-xy}{2(x+y)}\right)$ and $\frac{d}{dy} xy \left(\frac{A-xy}{2(x+y)}\right)$ Here are the derivatives $$\frac{d}{dx} xy \left(\frac{A-xy}{2(x+y)}\right)=\frac{y^2(a-x^2-2xy)}{2(x^2+y^2+2xy)}$$ $$\frac{d}{dy} xy \left(\frac{A-xy}{2(x+y)}\right ...
This video provides an example of how to use calculus methods to determine the maximum volume of an open top box with a fixed surface area.https://mathispowe...
A box with a square base and an open top is to be made. You have $1200\operatorname{cm}^2$ of material to make it. What is the maximum volume the box could have? Here's what I did: $$1200 = x^2+...
