Area of a rectangle is defined as the product of the base length and height of rectangle. A=x×y Find the dimensions of the rectangle by taking the first derivative of area(A) and equate it to zero. We will get
In this problem, we are asked to find the maximum value of the volume of a rectangular box given the constraint of the surface area of the box. The volume function is represented by f(x,y,z), where x, y, and z are the dimensions of the b...
This model allows for more robust estimation when endogeneity is present in the data. GMM is well-suited for dynamic panel data models, which involve analyzing data with both time-series and cross-sectional dimensions. It efficiently handles issues arising from time dynamics, such as lagged ...
In response to these ongoing global changes, species are shifting their distributions to track suitable ecological niches along several geographic dimensions including latitude, longitude, and elevation/depth6,7,8. Due to the widely-recognized positive spatial autocorrelation signal of temperature conditions...
2). The application of fractal dimensions on mycelium structure revealed that trait mean values of box counting dimensions (Db) ranged between 1.2 and 1.6, where a value of 1 represents a single unbranched hypha, and a value of 2 a complex space-filling mycelium. The most complex mycelium ...
Twelve specimens with different dimensions, plastic bubble diameters, concrete compressive strengths, and bubble locations were examined. The findings show that, in comparison to solid slabs, position the bubbles at a distance of \(2d\) or \(d\) (\(d\) is the effective height of the slab)...
A plate of unidirectional Scotchply 1002 Glass/Epoxy has the dimensions shown. The fibers are in the x-direction as shown. For the stresses shown, determine the change in length of each side of the plate. A 100 by 150 mm rectangular plate is deformed as shown in the following figure. Al...
We repeated this for each community to yield a simulated "observed richness" site-by-species matrix with the same dimensions as the original matrix. This procedure ensures that richness is held at the observed levels and that the biomass contribution of each species are within the observed range...
the overall price structure, printing a square meter of textile was costly. That is why digital printing was only commercially viable for very high end products like silk scarves, which explains why the Como region in Italy, the silk scarves printing center of the world, became also the ...
Determine the volume of the given cube as shown in the figure with a side length of 2 cm. Cube: The total number of cubic units that a cube takes up is what we are most interested in when we talk about the "volume of a cube". A cube is a standard s...