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2 years ago

12

Find the value of

} " align="absmiddle" class="latex-formula">
for all x belongs to Real Numbers and i = √(-1).

1 answer:

Sholpan [36]2 years ago

8 0

Answer: cis (ln x) ; x > 0

<u>Step-by-step explanation:</u>

$x^i$

$= e^{ln(x^i)}$

$=e^{i \ln(x)}$

= cos (ln x) + <em>i</em> sin (ln x)

AKA: cis (ln x)

NOTE: I found this following formula which you may find useful:

$A^i = x + iy$

You might be interested in

Cuboid ABCDEFGH is shown

gtnhenbr [62]

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

$tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}$

$tan\angle ACF = \dfrac{FA}{AC}$

In a cuboid, FA = BG = CH = DE = 9.3

$\therefore tan\angle ACF = \dfrac{9.3}{8.63}$

$\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}$

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0

3 years ago

Does anybody know this?

dedylja [7]

Answer:

here you go , all four completed, took me some time , hipe i was able to help you out tho

4 0

2 years ago

An investor bought 400 shares of stock, some at $7.00 per share and some at $1.00 per share. If the total cost was $1450.00, how

Alja [10]

57 at 7.oo dollars is 399 so he bought 1 more at 1 dollar

4 0

3 years ago

A certain number was divided by 3 and 3 was added to the result. The final answer was 8 what was the number

nevsk [136]

Answer:

15

Step-by-step explanation:

x/3 + 3 = 8

x/3 + 9/3 = 8

x + 9 = 24

x = 15

5 0

2 years ago

The given line segment has a midpoint at (−1, −2).

Bas_tet [7]

Answer:

The given line segment has a midpoint at (−1, −2).

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

y = −4x − 4

y = −4x − 6

y = One-fourthx – 4

y = One-fourthx – 6

y = Three-halvesx + 1

8 0

3 years ago

Read 2 more answers