3 years ago

What Ln(z) is answer????!!

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Write z in exponential form:

$z=1-i=\sqrt2 e^{-i\frac\pi4}$

Then taking the logarithm, we get

$\mathrm{Ln}(z)=\ln(\sqrt2) + \ln e^{-i\frac\pi4} = \boxed{\ln(\sqrt2)-\dfrac\pi4i}$

so a is the correct answer.

You might be interested in

Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the

Karolina [17]

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

8 0

2 years ago

Laura just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in jus

svp [43]

So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !

5 0

2 years ago

What is the cube root of -729a^9b^6? -9a^3b^2 -9a^2b^ -8a^3b^2 -8a^2b^3

timurjin [86]

Answer:

$= 9a^3b^2$

Step-by-step explanation:

$\sqrt[3]{-729a^9b^6} =$

$= ((-9)^3a^9b^6)^{\frac{1}{3}$

$= (-9)^{3 \times \frac{1}{3}} \times a^{9 \times \frac{1}{3}} \times b^{6 \times \frac{1}{3}}$

$= (-9)^{1} \times a^{3} \times b^{2}$

$= -9a^3b^2$

7 0

1 year ago

To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What

Molodets [167]

Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

x^2 + (2/5)x = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or

(x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25

3 0

3 years ago

Read 2 more answers

A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?

iVinArrow [24]

Answer:

Step-by-step explanation:

Slope = (3+6)/(-4+1)

= 9/-3

= -3

Y=mx+b

-6= -3×-1 +b

-6 = 3 +b

b = -9

6 0

3 years ago