Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac
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- Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.Show that 3=span([101],[110],[011])CLASSIFY THE FF PDE AS LINEAR, OR NON LINEAR, HOMOGENOUS OR NON HOMOGENOUS
- Calculate gcd (x^4+4x^3+5x^2+4x+4, 4x^3+12x^2+10x+4)Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.Provide complete/detailed solutions using Gauss-Jordan Elimination.
- If LSL = 500, USL = 518, μ = 509, and σ = 3, the "safety margin" to maintain the product specifications would be: nonexistent (i.e., zero). 1σ on each side. 2σ on each side. 3σ on each side.While you are on a 4-week vacation, you will play at least one set of tennis matches each day, but you wouldn’t play more than forty sets total during this time. Prove that no matter how you distribute your games during the four weeks, there is a span of consecutive days during which you will play exactly 15 games.In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.(a) If we wish to compute the probability thatxnumber of chips out of a production run of sizenaredowngraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that 5 chips out of a production run of 40 are downgraded. (c) Compute the probability that between 3 and 5 (inclusive)orbetween 2 and 8 (inclusive) aredowngraded. (d) Graph the probability mass function forxnumber of…
- In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.Suppose that x = 5 and y =6please answer with finite elements methods...
