Math

Complex numbersIf a = -3 and b = -i, then find the value of a³b in fully simplified form.
Answer:
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Math

Complex numbersWatch help video
If a = -5i and b = 2 + i, then find the value of a³b in fully simplified form.
Answer:
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Math

Complex numbersA fossilized leaf contains 34% of its normal amount of carbon 14. How old is the fossil to the nearest year? Use 5600 years as the half-life of carbon 14.
A. 33,849
B. 3,357
C. 28,490
D. 8,716

Math

Complex numbersInformation is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: 2, 4+7i, -7-3i, 0

Math

Complex numbersExpress √-64-√-49 as a complex number in standard form:
√64-√√ 49 =
Question Heln:

Math

Complex numbersConsider the following polynomial inequality.
x²(x + 8)(x - 1) > 0
Step 1 of 2: Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).

Math

Complex numbersWhat is the value of the modulus of 6 - 4i?
Enter your answer as a simplified radical in the box.

Math

Complex numbersIf v= 2i - 3j and w=xi + 9j, find all numbers x for which ||v+w|| = 7.
Select the correct choice and fill in any answer boxes in your choice below.
A. x =
B. There is no solution.

Math

Complex numbersUse a calculator to perform the indicated operations. Give the answer in rectangular form,
expressing real and imaginary parts to four decimal places.
55(cos7π/9 + i sin7π/9)/27.5 (cos3π/8+ i sin3π/8)

Math

Complex numbersDetermine the polar form of the complex number 5-3i. Express the angle in degrees, where 0 ≤ θ ≤ 360°, and round numerical entries in the answer to two decimal places.
5.83(cos329.04° - isin329.04°)
329.04(cos329.04°-isin329.04°)
329.04(cos5.83 + isin5.83°)
5.83(cos329.04° + isin329.04°)

Math

Complex numbersAdd or subtract. Write the answer in standard form.
(17-12i) - (17 – 6i)
Oa - 18i
Ob 34 - 18i
Oc 34 - 6i
Od -6i

Math

Complex numbersWrite z₁ and 22 in polar form. (Express in radians. Let 0 ≤ θ < 2x.)
z₁ = √2-√2i , z2 = 1 - i
z1=
z2 =
Find the product z₁z2 and the quotients z1/z2 and 1/z1. (Express your answers in polar form with expressed in radians.)
z1z2=
z1/z2=
1/z1=

Math

Complex numbersGiven that 3-4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable.
f(x) = x² - 16x³ + 109x²-394x + 600

Math

Complex numbersSolve the equation using factoring or the quadratic formula, whichever is appropriate.
a³ - 64 = 0
The real solution for a is 4 where the imaginary solutions are
1 +4 + 4 / 1
Hint: Your input was 4 and(1+-4i4)/1

Math

Complex numbersFind the quotient 5i / (1 - i) and express it in rectangular form by first converting the numerator and the denominator to trigonometric form.
(Type your answer in the form a+bi. Use integers or fractions for any numbers in the expression)

Math

Complex numbersWhich of the following represents vector t = -5i + 12j in trigonometric form?
a)t= 13 (cos 67.38°, sin 67.38°)
b)t= 13 (sin 67.38°, cos 67.38°)
c)t= 13 (cos 112.62°, sin 112.62°)
d)t= 13 (sin 112.62°, cos 112.62%)