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2 years ago

When you multiply two complex numbers in polar form, what happens to the angles?

Mathematics

1 answer:

prisoha [69]2 years ago

6 0

The angles get added.

Let z = r exp(i θ) and w = s exp(i φ). Then

zw = rs exp(i θ) exp(i φ) = rs exp(i (θ + φ))

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Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

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2 years ago

Solve (x + 2 < 5) u (x - 7 > -6)

REY [17]

1. (x + 2 < 5) Subtract two from each side to get (x < 3)

2. (x - 7 > -6) Add 7 to both sides to get (x > 1)

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3 years ago

Read The Question On The PNG

Oliga [24]

The first option. 77 5/8.

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ASHA 777 [7]

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brainly.com/question/12500028

Step-by-step explanation:

brainly.com/question/12500028

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