Question

find all the values of (2+i)^1+2i

Answer #1

Find the complete factorization of P(x) = x^3-64
The answer I got was (x-4)(2-2i√3)(2+2i√3) but I'm not sure if
this is right!

simplify. wirte your answer in the form a+bi
a) 2+i / 6-2i b) (4+2i)(2-i)

Compute for n = 0, ±1, ±2, ±3, ... the value of (1+i)^(2i)

Prove the summation
Σ i*2i (from i=1 to n ) = 1 * 21 +
2*22 + 3*23 +
......n*2n

1.
a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}.
b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find the real
numbers a,b.
c) Let p(z)=z^4−z^3−2z^2+a+6z, where a is real. Given that 1+i
is a zero of p(z):
Find value of a, and a real quadratic factor of p(z). Express
p(z)as a product of two real quadratic factors to find all four
zeros of p(z).

Find the projection of u = −i
+ j + k onto v =
2i + j − 7k.

Define the following functions on the integers by a(i) = k +1,
b(i) = 2i, and c(i) = ⌈i/2⌉
a. Which of these functions are one-to-one?
b. Which of these functions are onto?
c. Express in simplest terms the compositions a ◦ b, b ◦ a, b ◦ c ◦
b

find the principal values of i^i and ln(1+i)

A20) Given that f(x) is a cubic function with
zeros at −2−2 and 2i−2, find an equation for f(x) given that
f(−7)=−6
B19) Find a degree 3 polynomial whose coefficient
of x^3 equal to 1. The zeros of this polynomial are 5, −5i, and 5i.
Simplify your answer so that it has only real numbers as
coefficients.
C21) Find all of the zeros of P(x)=x^5+2x^3+xand
list them below with zeros repeated according to their
multiplicity.
Note: Enter the zeros as...

Find the description of roots and end behavior
1. P(x) = 2(x- 2/3)(x-1)(x+1)(x-2i)(x+2i)
2. P(x) = 2x^3 - x^2 + 2x-1
3. P(x) = x^5 + x^4 - 9x^3 - x^2 + 20x - 12
4. P(x) = 3x^5 + 9x^4 - 72x^3 - 240x^2
5. P(x) = (x^2 - 1)^2
6. P(x) = x^3 - 5x^2 - x+5
7. P(x) = 3x^5 + 7x^4 + 12x^3 + 28x^2 - 15x-35
8. P(x) = x^3(x+2)(x-2)
9. P(x) = x(x-3)(x-2)(x+1)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 15 minutes ago

asked 22 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 27 minutes ago

asked 28 minutes ago

asked 28 minutes ago

asked 33 minutes ago