3 years ago

Determine the coordinates of the pre-image?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

7 0

Just find the coordinates and divide the x and y coordinates by the scale factor.

I'll do A.

(4,3)

Divide 4 by 0.5 and 3 by 0.5.

4/0.5=2

3/0.5=1.5

So the original coordinate for A is (2,1.5).

Hope it helps

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Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts

steposvetlana [31]

Answer:

$C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )$

Step-by-step explanation:

Given

$Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)$

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the choice is in between sinax and cosax

where a > b

so we get using above equation

$C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )$

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