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3 years ago

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

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Write <em>z</em> 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

What is the slope of the line

Alexandra [31]

Answer:

The slope is 7/7 or 1.

Step-by-step explanation:

Find any two points on the line. I chose (0,7) and (-7,0).

Put rise over run.

7-0

———

0 – -7

this would equal 7/7 which simplifies to 1.

Hope this helped!

7 0

3 years ago

Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9). a. x = 12 c. y = 12x - 9 b.

nirvana33 [79]

Answer:

b. y = -9

Step-by-step explanation:

A line with zero slope has no dependence on x. It is simply ...

... y = constant

The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...

... y = -9

3 0

3 years ago

Read 2 more answers

A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

3 years ago

Write the point slope form of the given line that passes through points (-4,-1) and (3,-3). Identify (x1,y1) as (-4,-1) include

Masteriza [31]

Y-y1=m(x-x1)

find slope
(y2-y1)/(x2-x1)

so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7

y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)

6 0

3 years ago

PLEASE HELP!!! ILL MARK A HIGH POINT COUNT, GIVE BRAINLIEST, FIVE STARS, AND GIVE THANKS TO WHOEVER ANSWERS CORRECTLY!!!!

Westkost [7]

Each letter of the alphabet is worth two times as much as the one before it, implying that the value of each letter rises in mathematical progression. The formula for finding the nth term of an arithmetic progression would be used. I am written as

a + (n - 1)d = Tn

Where

The number of terms in the arithmetic sequence is represented by n.

The common difference of the terms in the arithmetic sequence is represented by d.

The first term of the arithmetic sequence is represented by a.

Tn stands for the nth word.

Based on the facts provided,

n = 26 characters1 Equals a

3 minus 1 equals 2 (difference between 2 letters)

Therefore,

1 + (26 - 1)2 = T26

51 = T26

The formula for calculating the sum of an arithmetic sequence's n terms

is as follows:

[2a + (n - 1)d] Sn = n/2

As a result, S26 is the sum of the first 26 terms.

S26 = 20/2[2 1 + (26 - 1)2] S26 = 20/2

[2 + 50] S26 =

676 = S26 = 13 52

3 0

1 year ago