You really should consider trying this yourself before reading the answer, and you should understand the answer, otherwise you will not learn the lesson. Read each step, and do not proceed unless you understand it.
To maximize the cross sectional area of a rain gutter made from sheets that are 12 inches wide by turning up the edges 90 degress, first draw the cross section...
The depth is x. The cross section is 12-2x by x. Try again to draw it...
The area of the cross section is (12-2x)x. Can you see the solution?
Simplify the area. It is 12x - 2x2. Can you see the solution?
Differentiate. This is a simple polynomial. Can you see the solution?
The deriviative is dy/dx = 12 - 4x. Can you see the solution?
The maximum volume occurs when the deriviative is zero. Can you see the solution?
Solve for 12 - 4x = 0. Last chance to solve it yourself...
There is one root of x: 3, so the depth is 3 inches.
Presumably you're looking at a picture that shows angles C and D in relation to one another. We can't answer this without knowing that.
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Adaptation is the feature that a neural network system should provide in order to let the system be aware of changes in its environment. For instance; an auto-pilot expert system (ES) changes its maneuvering degrees with respect to the wind. So, an artificial intelligence system needs to use some agents to collect more data about its location.
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The maximum phase angle provided by lead compensators can be up to +90 degrees, while lag compensators can provide a maximum phase angle of -90 degrees. Lead compensators improve system stability and increase the phase margin, whereas lag compensators primarily enhance steady-state accuracy without significantly affecting stability. However, the actual phase boost or reduction achieved depends on the design parameters and the specific implementation of the compensator.
To achieve a maximum phase shift of 90 degrees in RC phase shift oscillators, you can use a combination of three RC stages in series, where each stage contributes 60 degrees of phase shift at the desired frequency. By carefully selecting the resistor and capacitor values to ensure that the total phase shift across the three stages reaches 180 degrees, you can then use a phase inverter, such as a transistor or an op-amp, to provide the additional 180 degrees needed for positive feedback. This setup ensures that the oscillator can sustain oscillations at the desired frequency.
Aluminum can stop some gamma rays, but they are not as effective as denser materials like lead or concrete. Thicker layers of aluminum would be needed to provide sufficient protection from gamma rays.
Aluminum is usually combined with other elements, such as copper, silicon, magnesium, and zinc, to form various aluminum alloys. These alloys provide enhanced properties like increased strength, corrosion resistance, and improved formability compared to pure aluminum.
To provide an accurate answer, I need to know the specific compound you are referring to. Aluminum can combine with various elements, such as oxygen in aluminum oxide (Al₂O₃), or with sulfur in aluminum sulfide (Al₂S₃). Please specify the compound for a precise response.
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Ear plugs can provide a maximum noise reduction of around 30 decibels.
You can sell aluminum at recycling centers, scrap metal yards, or local metal recyclers that accept aluminum materials. Additionally, online marketplaces like Craigslist, Facebook Marketplace, or eBay provide platforms to sell aluminum directly to individuals. Businesses that produce or use aluminum products may also be interested in purchasing scrap aluminum. Lastly, check with local manufacturing companies that may have a need for recycled aluminum.
Most people choose an aluminum case for aethetic reasons. They are also very durable and more scratch-resistent.
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