Complex numbers - high school - practice problems - last page
Number of problems found: 52
- Distance two imaginary numbs
Find the distance between two complex number: z1=(-8+i) and z2=(-1+i). - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Alternating circuit
In an alternating circuit, the total voltage V is given by V=V1 +V2 If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2. - Fifth 3871
What is the sum of the fifth root of 243?
- Complex roots
Find the sum of the fourth square root of the number 16. - Determine 3882
Determine the sum of the three square roots of 343. - ABS CN
Calculate the absolute value of the complex number -15-29i. - Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter. - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand
- Subtracting complex in polar
Given w =√2(cosine (pi/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ). What is w - z expressed in polar form? - De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Instantaneous 76754
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2, sin( ωt - 30 °). Thanks for any help or advice.
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