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statuscvo [17]
3 years ago
10

The mathematical relationship between

Engineering
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
4) Ohms law thats the answer
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The given family of functions is the general solution of the differential equation on the indicated interval.Find a member of th
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y'''+y=0---(i)

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y=c_1e^o^x+c_2\cos x +c_3 \sin x\\\\\Rightarrow y=c_1+c_2 \cos x+c_3 \sin x---(ii)\\\\y(\pi)=0\\\\\Rightarrow 0=c_1+c_2\cos (\pi)+c_3\sin (\pi)\\\\\Rightarrow c_1-c_2=0\\\\c_1=c_2---(iii)

y'=-c_2\cos x+c_3\cosx\\\\y'(\pi)=2\\\\\Rightarrow2=-c_2\sin(\pi)+c_3\cos(\pi)\\\\\Rightarrow-c_2(0)+c_3(-1)=2\\\\\Rightarrow c_3=-2\\\\y''-c_2\cos x -c_3\sin x\\\\y''(\pi)=-1\\\\\Rightarrow-1=-c_2 \cos (\pi)=c_3\sin(\pi)\\\\\Rightarrow-1=c_2-0\\\\\Rightarrow c_2=-1

in equation (iii)

c_1=c_2=-1

Therefore,

\large\boxed{y=-1-\cos x-2\sin x}

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a scale model each size is a certain amount smaller

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Consider the smoothie example given in class: Write down the production function of Tutti Frutti Smoothie example given in class
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Production Function : TFSq = f { ingredient 1 ...... ing. i }

Increasing/ Constant/  Increasing Returns to Scale :

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Production Function is the relationship between production inputs & outputs, given technology. It denotes the maximum output that can be generated with given inputs.

Tutti Frutti Smoothie [TFS] quantity = Function of {Ingredient1.....ingredient i}

Returns to Scale represents change in output when all inputs change in same proportion.

  • Constant Returns to Scale [CRS] : Output Change = All inputs change
  • Increasing Returns to Scale [IRS] : Output Change > All inputs change
  • Negative Returns to Scale [NRS] : Output Change < All inputs change

When all inputs (ingredients) change by same proportion i.e get twice 2X :- If output of Tutti Frutti Smoothie increases by > 2X  i.e 3X - IRS.  If it increases equal ie 2X - CRS. If it increases lesser i.e 1.5X - CRS.

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