Questions asked
Karan Soni
Numerade educator
Find all roots of the equation z2 - j = 0. Select one: a. z1,2=±2–√2(1-j) b. z1,2=±3–√2(1+j) c. z1,2=±3–√2(1-j) d. z=2–√2(1+j) e. z1,2=±2–√2(1+j)
Given the complex numbers z1 = 3j + 5 and z2 = 7j – 4 find the ratio z1/z2. Select one: a. 21j+128 b. 35?12j53 c. 15j?2820 d. 21?20j21 e. 1?47j65
Present the following complex number in polar form: z = 1/2 – j?3/2. Select one: a. z = cos(?/3) – j·sin(?/3)] b. z = 2[cos(?/6) – j·sin(?/6)] c. z = cos(5?/6) + j·sin(5?/6) d. z = 3[cos(?/6) + j·sin(?/6)] e. z = 3[cos(5?/3) + j·sin(5?/3)]
Find the modulus of the complex number z=(3-4j)(3j-2)-j in exact form. Select one: a. 3/7 b. 125/3 c. 325 d. 325/(-j) e. 325
Calculate (1 + j?3)6 Select one: a. ?8 b. 64 c. ?64 d. 32 e. 16
Express the result in the polar form (j – 5)(5 + j)j Select one: a. 26j b. 26[cos(3?/2) + j·sin(3?/2)] c. 10[cos(?/4) – j·sin(?/4)] d. 26[cos(?/3) + j·sin(?/3)] e. 26[cos(–?/2) + j·sin(–?/2)]
Given the complex numbers z1 = 7j – 4 and z2 = 3j + 5 find the ratio z1/z2. Select one: a. 1?47j34 b. 1+47j65 c. 151+47j d. 1+47j34 e. 1j?4765
Express the complex number z=(j+2)2/j-1 in the standard form x + jy. Select one: a. z=4-4j b. z=-5/2+5/2j c. z=-5-5j d. z=5/2-5/2j e. z=-2.5-2.5j
Present the following complex number in polar form: z = -1.5?3 + 1.5j. Select one: a. z = 2[cos(?/6) + j·sin(?/6)] b. z = 3[cos(5?/3) + j·sin(5?/3)] c. z = cos(5?/6) + j·sin(5?/6) d. z = 3[cos(5?/6) + j·sin(5?/6)] e. z = 3[cos(?/4) + j·sin(?/4)]