SFM19613 SFM19613

24-12-2018
Mathematics

contestada

Find the value of
[tex] {x}^{i} [/tex]
for all x belongs to Real Numbers and i = √(-1).

Respuesta :

tramserran tramserran

29-12-2018

Answer: cis (ln x) ; x > 0

Step-by-step explanation:

[tex]x^i[/tex]

[tex]= e^{ln(x^i)}[/tex]

[tex]=e^{i \ln(x)}[/tex]

= cos (ln x) + i sin (ln x)

AKA: cis (ln x)

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

[tex]A^i = x + iy[/tex]

Answer Link

Otras preguntas

Which number is larger 0.95 or 0.59

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Justify your answer

What two-digit number multiplied by itself has the product 2,025?

The endpoints of line segment MN are M(-3, -9) and N(4, 8). What is the approximate length of line segment MN?

The endpoints of line segment MN are M(-3, -9) and N(4, 8). What is the approximate length of line segment MN?

What is the difference between pseudoscorpion and real scorpions

Mrs.simpson's class has 10 girls and 15 boys. What is the ratio of girls to boys?

Round 89,659 to the nearest hundred thousand

Magnesium (Mg) is located to the right of sodium (Na) because Mg has.... a.) Less electrons b.) Less protons c.) Both a.) And b.) d.) None of the above.

Solve and explain the inequality problem 13x +-7(-2+x) is greater or equal to 4x + -10