The mean squared error minimization smoothing constant's value can be found using a nonlinear optimization process.
Although the linear programming model is effective in many nonlinear optimization circumstances, it is insufficient to accurately model some issues. An illustration would be the isoperimetric problem, which asks you to identify the closed plane curve with the maximum area and a minimization given length. Pappus of Alexandria had access to the solution but not the proof. 340 CE.
The Swiss mathematician Johann Bernoulli challenged himself in 1696 to find the curve that minimizes the time it takes an object to slide, using minimization only the force of gravity, between two nonvertical points. This challenge marked the beginning of the branch of mathematics known as the nonlinear optimization calculus of variations. Along with Johann Bernoulli, the correct answers were also provided by his brother Jakob Bernoulli, the German Gottfried Wilhelm Leibniz, and the Englishman Isaac Newton. (The solution is the brachistochrone.) Many nonlinear algorithms, in particular, heavily rely on Newton's method of solving the problem.
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Answer: B.Marginal cost is the money paid for producing one more unit of a good. Marginal revenue is the money earned from selling one more unit of a good.
Explanation: The money or expenses incurred in the production of a good or service is called cost. Marginal cost simply refers to the cost incurred in producing one more unit of a product or service. Revenue on the other hand refers to the money earned from selling a company's product. Therefore, marginal revenue refers to the amount a producer makes or earns from selling one more unit of a product.
Answer:
C. $2,500
Explanation:
As we got a floor, this protects from a decrease in rate. In this case, we have a floor of 5% and the variable rate drop to 4% which is below the floor so the floor triggers:
<u>We are asked for how much interest revenue were saved by the floor:</u>
<em>rate differences:</em> floor - actual = 0.05 - 0.04 = 0.01
<em>now we calcualte the interest as usual:</em>
principal x rate x time = payoff
1,000,000 x 0.01 x 3/12 = 2,500
Answer:
The correct option here is C) Nutritional labeling and education act.
Explanation:
NLEA or commonly know as nutritional labeling and education act is a new rule passed by the government , which requires the sellers or marketers of a product to show all the information regarding number of grams of fat ( whether trans fat, saturated or saturated fat ) on the packaging of the product.
The 500- pound weight be shifted 1 inch to the left to balance the plank on the fulcrum
This is further explained below.
<h3>What is
a fulcrum?</h3>
Generally, The point at which the beam is allowed to pivot is referred to as the fulcrum. When force is applied to one end of the lever, it causes the other end of the lever to become loaded with more weight. Because of this, a mass will be moved higher.
A beam or rigid rod that is pivoted at a fixed hi/nge, also known as a fulcrum, constitutes a lever, which is a basic machine. A body that is inflexible yet has the ability to rotate on a point on itself is called a lever. The lever may be broken down into three distinct categories according to the positions of the fulcrum, the weight, and the effort.
In conclusion, In order to keep the plank stable on the fulcrum, the weight of the 500-pound bar must be moved to the left by one inch.
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