QI complet the table: X f(x) O 1 2.71828 L2(X) = LI(X) = (x-xo) (X-X₂) (x1 - x0) (X₁-X2) (X-X₁/(x-x2 1.5 (x2-xo) (x2-x1) - P₂(X) = yo Lo (x) +Y₁L+ (x) + y₂L2(X) (X-XI) (X -X21 Lox)= (Xo- XI)( Xo-X2) 1.75 5.75460
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- Elimination of arbitrary constant y = 2x - c1e-x - c2exUsing step size of h = 0.25, determine y(x) at the given domain x using classical RK4 method. Use MS Excel in solving.Show Detailed Solution. For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Suppose there were 6870 coconuts in the shipment. Compute the variance of the regular SRS estimate of the…
- Application of Differential Calculus: Optimization Farmers use a certain plant food costing $4.00 per ounce to help them in growing oranges. It is estimated that when x ounces of the food are used on an ace of orange grove, the farmer is able to get Ln(4x+5) crates of oranges from that acre of land. If the farmer can sell the oranges at $20 per crate, how many ounces should be used per acre to maximize the orange crops net value.Show Detailed SolutionFor a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Nȳ is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below):Use a ratio estimator to estimate the total weight of the coconut extract for this shipment of coconuts.…Social animals that live in groups can spread less time scanning for predators thab solitary individuals. However, they waste time fighting with the other group members over the available food. There is some group size at which the net benefits greatest becuase the animals spend the least time of these unproductive activities, and thus can spend time on feeding, mating, etc. Assume that for a group of size x, the fraction of time spent scanning for predators is s(x) = 212x 1/x+1 and the fraction of time spent fighting with other animals over food is F (x) = 4.8x (x+1)^2 Find the size of the group for which the time wasted on scanning and fighting is smallest. Round your answer to two decimal places.
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