2. Phosphorous is an important, non-metallic, non-renewable resource that is used in cleaning & baking products and is an important fertilizer. It has low toxicity, but can cause nutrient pollution when used excessively. There are some viable substitutes (s) for cleaning products, but less so for fertilizer. Thus, at some point phosphorous will have to be recycled/reclaimed. The levels of fand s associated with the future point at which this happens are given implicitly by the following optimization problem max G (f,s) = 200f –+20fs+s-s subject to 4f + 2s = 80 Use the perturbation method to solve for the critical levels of phosphorous () and the substitute (s), assuming that the constraint is binding. Be sure to show your work

Q: please look at picture

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Q: [(et (et + 5)dt

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Q: please give all steps

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Q: Please find value of ID with steps

A: Consider ID=12[1-3-1.5ID(-3)]2⇒ID=12-3-3+1.5ID(-3)2⇒ID=129[-6+1.5ID]2 ⇒3 ID=4[36+2.25 ID2-18ID]⇒3…

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A: Let's find.

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A: Consider the given vector.u=-2 and v=<2,-1,-2>.The projection is defined as,Projection of…

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A: Step 1: (a) & (b).  Step 2:   ( If you have any questions related to this problem please feel…

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A: Explanation of the answer is as follows

Q: MAT

A: Graphical representation:

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A: Let's solve.

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A: Let's solve 6th question.  Please repost for other parts.

Q: 7) Find mzVUT if MVUM =21x-3, M2VUT-35x-4, and MMUT= 69°. A) 5 C) 107 B) 10 D) 171

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.