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3 years ago

Write z=1-3i in exponential form

Mathematics

1 answer:

Sladkaya [172]3 years ago

7 0

Answer:

z=re ^iθ =2e ^i 3/π

Step-by-step explanation:

hope this helps

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I am confused about how to explain this: Explain the difference in meaning between |-3| and -3.

Ivahew [28]

Answer:

Step-by-step explanation:

|-3| means the absolute value of -3. The absolute value sign means the number without its negative. The dictionary says: the magnitude of a real number without regard to its sign.

So |-3|= 3 and -3= -3

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2 years ago

What is greater <br> 12 cm or 98 mm

Tom [10]

12 centimeters is greater
Hope this helps! :D

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3 years ago

Read 2 more answers

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

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3 years ago

So sánh √144 và √169

Sergeu [11.5K]

Answer:

Step-by-step explanation:

√144 < √169

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2 years ago

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A student reads 65 pages per hour proportional relationship

goldfiish [28.3K]

Oh.......kay.... Is that a question? It doesn't look like one.

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2 years ago

Write z=1-3i in exponential form ​

Write z=1-3i in exponential form