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AleksandrR [38]
3 years ago
5

If u=f(x,y) where x=(e^s)(cos(t)) and y=(e^s)(sin(t)), show that (du/dx)^2 + (du/dy)^2 = (e^(-2s))((du/ds)^2+(du/dt)^2)) ...?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

no usually the problem is set up this way f(x,y)= z if z= w/e ( it has an x and a y) where y= (something that has s and t) and x= ( something that has s and t) but your question does not make sense to me. Are you sure you wrote it right?


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Leno4ka [110]
(60/30)(x^20/x^10)(y^24/y^12)
(2)(x^10)(y^12)
2x^10y^12
4 0
3 years ago
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When using the order of operations to simplify (7 + 3) * 4 - 1 + (6 + 8), which operation should be performed first?
enot [183]

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

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3 years ago
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Step-by-step explanation:

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Remember PEMDAS

Get Positively Comfortable with Negative Numbers

Show Your Work

Don't Let the Letters Scare You

Be Sure to Answer the Right Question

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Calculator

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3 0
2 years ago
-2 1/3-(-5) can someone help me
Masja [62]
Convert the mixed numbers to improper fractions then find the LCD and combine.
exact form: 8/3
decimal form: 2.6
mixed number form: 2 2/3
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3 years ago
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