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Damm [24]
3 years ago
10

What is the basic principle in multiplication of complex numbers?

Mathematics
1 answer:
Naily [24]3 years ago
4 0
When dividing two complex numbers on rectangular form we multiply the numerator and denominator by the complex conjugate of the denominator, because this effectively turns the denominator into a real number and the numerator becomes a multiplication of two complex numbers, which we can simplify.
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A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. when the weight it rele
zhannawk [14.2K]

The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.

<h3>What is the period of a cosine function?</h3>

The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.

Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)

For the angular velocity at time period (t = 3s), we have:

ω = 2π/T

ω = 2π/3

Mathematically, the standard equation of a cosine function is given by:

y = Acos(ω)t

Substituting the given parameters into the formula, we have;

d = -9cos(2π/3)t.

Read more on cosine function here: brainly.com/question/4599903

6 0
2 years ago
Two points in the xy plane have cartesian coordinates (1.50, −3.00) m and (−7.50, 7.50) m. (a) determine the distance between th
vova2212 [387]
Distance  = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]

                = sqrt 17,226.56  =  131.25 (answer)
3 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)
Dima020 [189]

Split C into two component segments, C_1 and C_2, parameterized by

\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)

\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)

respectively, with 0\le t\le1, where \mathbf r_i(t)=(x(t),y(t)).

We have

\mathrm d\mathbf r_1=(6,1)\,\mathrm dt

\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt

where \mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt

so the line integral becomes

\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)

=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt

=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6

6 0
3 years ago
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
katrin2010 [14]

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

5 0
3 years ago
Estimate the sum. Round each number to the nearest whole number, then add. 9 1/2 + 7 1/8
borishaifa [10]

Answer:

12 1/8

Step-by-step explanation:

4 0
3 years ago
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