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hammer [34]
3 years ago
8

2a + 4c = 38.00 solve for c

Mathematics
2 answers:
Dominik [7]3 years ago
5 0

Step-by-step explanation:

2 (a+2c)=38

a+2c=19

c=(19-a)/2

irakobra [83]3 years ago
4 0

Answer:

c = 19/2 - 1/2a

Step-by-step explanation:

Step 1: Write equation

2a + 4c = 38.00

Step 2: Solve for <em>c</em>

<u>Subtract 2a on both sides:</u> 4c = 38 - 2a

<u>Divide both sides by 4:</u> c = 19/2 - 1/2a

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Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

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Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

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Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

Now, recall the definition of the complex exponential:

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So,

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e^{-2i+3} = e^{3}(\cos 2-i\sin 2) (we use that \sin(-y)=-\sin y).

Thus,

e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

Now we group conveniently in the above expression:

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Thus,

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

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