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 of your response with commas. recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. both yenvelope and ycarrier should be trigonometric functions of unit amplitude.

Answers

Answer 1

Answer:

[tex]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 )[/tex]

Step-by-step explanation:

Given

[tex]Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)[/tex]

using a trigonometrical identity

sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)

and here the condition is

the choice is in between sinax and cosax

where a > b

so we get using above equation

[tex]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 )[/tex]


Related Questions

Solve the equation by doing the inverse operation to work backwards
x+13=25

Answers

Answer:

x = 12

Step-by-step explanation:

x+13=25

Subtract 13 from each side

x+13-13=25-13

x = 12

Find the mean for each data set. Number of Flowers . . . . . . <-----I-----I-----I-----I-----I-----I-----I-----I-----I-----> 10 11 12 13 14 15 16 17 18

Answers

Answer:

Well to find the mean of the above

take £ as sigma

therefore,

mean= £fx/£f

This simply means the sum of all the numbers divided by the number of members

therefore,

10 + 11+12+13+14+15+16+17+18= 126

And the number of figure present on the number line are 9, therefore 126 divided by 9

giving you a result of 14

Therefore the mean of the above numbers is 14.

Joanna purchased 5 bottles of water for $4.00. What is the cost of one bottle of water?

Answers

Answer:

0.80 cents

Step-by-step explanation:

5 bottles/ $4.00 = 1 bottle/ x

4 = 5x

0.8=x

Answer:

$0.80

Step-by-step explanation:

4.00 divided by 5

PLEASE HELP!!

Use the Triangle Inequality Theorem to determine which set of numbers CANNOT form the side lengths of a triangle.

A. 7, 9, 20
B. 6, 14, 17
C. 8, 24, 30
D. 2, 2, 3
E. 12, 22, 32

Answers

Answer:A

Step-by-step explanation:

Side lengths do not adhere to the triangle inequality theorem.

Peter's grandma has a trapezoidal garden, as in the picture.
a) What is the length of the fence of that garden?
b) What is the area of the garden?

The word in the top left corner in the picture is not linked to this task.
 ​

Answers

Length of fence = perimeter of trapezoid

                           = 12 + 6 + 5 + 5

                           = 28 meters

Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]

                         = 4([tex]\frac{12+6}{2}[/tex])

                         = 4 x 9

                         = 36 sq. meters

In the basketball game, the Buffalo made a total of 25 shots. Some of the shots are 2- point shots while others are 3- point shots. If the Buffalo scored a total of 57 points, how many were 2-point shots?

Answers

Let's let x be the number of 3-point shots made.

Let's let y be the number of 2-point shots made.

So, then we have:

x+y = 25

And we have

3*x + 2*y = 57

So, we can solve this by substitution. Solving the first equation for x:

x=25-y

Now, plugging into the second equation:

3*(25-y) + 2*y = 57

Simplifying:

75-3y+2y = 26

75-57 = y

y=18

So the player made 18 2-point should and  7 3-point shots for a total of 57 points!

Find a monic quartic polynomial f(x) with rational coefficents whose roots include
x=1-sqrt2, and x=2+sqrt5. Give your answer in expanded form.

Answers

Answer:

The polynomial hose roots are :

x = 1 - √2 and

x = 2 + √5

Is

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

Step-by-step explanation:

The roots of the equation are

x = 1 - √2 and

x = 2 + √5

(x - 1 + √2)(x - 2 - √5) = 0

x²- 2x - x√5 - x + 2 + √5 + x√2 - 2√2 - √10 = 0

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

This is the expanded form

click here if your good t math it ez
Write three fractions that are equivalent to 1/2
Use a diagram to show how you know you are right.

Answers

Answer:2/4 3/6 4/8

Step-by-step explanation:

Kendra flips a fair coin two times. What is the probability that she will flip tails both times?

Answers

Answer:

Step-by-step explanation:

Find the area of the triangle below.
Be sure to include the correct unit in your answer.
65 yd
13 yd
18 yd

Answers

Answer:

The area is  

[tex]72yd^{2}[/tex]

(square yards)

Step-by-step explanation:

Explanation:

In the given triangle a base  24 y d  and the corresponding height  6 y d

is given, so to calculate the area we can use:

A = 1 2× b × h

If we substitute thegiven numbers we get:

A = 1 2 × 24 × 6 = 12 × 6= 72

The units of base and height are the same (yards), so the calculated area is in  y d 2  (square yards)

Answer: The area of the given triangle is  72 square yards.

need help asap need to get this done​

Answers

Answer:

3:4

Step-by-step explanation:

8/6=4/3

12/9=4/3

16/12=4/3

If p ÷2 = 4 and 2 - q = 4, what is the value of 2p + q
a 12
b 14
c 18
d 22

Answers

Answer:

the answer is second one 14

Find the sum of the interior angles
of a polygon with 35 sides.

Answers

Because this is a regular polygon all the interior angles are the same. The measure of each angle is the sum of their measures divided by the number of angles. 5940/35 = 169.71 degrees for each interior angle.

What is the formula for the circumference of a circle in terms of r

Answers

Answer:

C = 2πr

Step-by-step explanation:

The formula for the circumference of a circle is C = πd, and since the diameter, d, is equal to double the radius, 2r, we can replace 2r for d. Giving us C = 2πr

In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the BEST estimate of the number of passengers?
A. 9 x 10°
B. 9 x 108
C. 8 x 108
D. 8 x 10°

Answers

Answer choice B or C

Solve :

y=3.58•x+ 202.6
&
y=2.3•x+160.7

Answers

Answer:

[tex]x=-32.73\,,\,y=85.43[/tex]

Step-by-step explanation:

Given: [tex]y=3.58x+202.6\,,\,y=2.3x+160.7[/tex]

To find: value of x and y

Solution:

[tex]y=3.58x+202.6\,\,(i)\\y=2.3x+160.7\,\,(ii)[/tex]

From equation (i) and (ii),

[tex]3.58x+202.6=2.3x+160.7\\3.58x-2.3x=160.7-202.6\\1.28x=-41.9\\x=\frac{-41.9}{1.28}=-32.73[/tex]

Put [tex]x=-32.73[/tex] in (i)

[tex]y=3.58(-32.73)+202.6\\=-117.17+202.6\\=85.43[/tex]

Question is in the picture

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.

Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-7-(-9)}{0-(-1)}[/tex]

[tex]m=\frac{2}{1}[/tex]

[tex]m=2[/tex]

Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.

[tex]y=mx+b[/tex]

[tex]y=2x-7[/tex]

Mama Mia restaurant used \dfrac12 2 1 ​ start fraction, 1, divided by, 2, end fraction of their mozzarella cheese making pizza and the remaining 646464 ounces making pasta. How many pounds of mozzarella cheese did Mama Mia start with?

Answers

Answer:

8 pounds

Step-by-step explanation:

CORRECT: the remaining 64 ounces making pasta.

Assuming 'x' be the total ounces of mozzarella

we know that

making pizza :  (1/2)*x => x/2

therefore, making pasta: [x-x/2] => (2x-x)/2 =>  x/2

making pizza=making pasta=x/2

Thus, (x/2)=64

x=(64)(2)

x=128 ounces

Note that 1 ounces=0.0625 pounds

then,  128 ounces*0.0625=8 pounds

Thus, Mama Mia started with 8 pounds of mozzarella cheese

If f(x)=2x+3, find the following value of f(x)=11.

Please help me understand this problem and the answer please. ​

Answers

This is how I would solve. F(x)=11 means that the known y value is 11. So we substitute it into the equation to solve.
F(x)=2x+3
11=2x+3
11-3=2x
8=2x
8/2=x
4=x

Please help! Correct answer only!

I've been on this question for more than an hour...

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 3 and then picking a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/16

Step-by-step explanation:

3 is one of the 4 available choices.

Then, if you pick it again, you get 1/4.

1/4* 1/4= 1/16

Answer:

1/16

Step-by-step explanation:

you have 1/4 chance to get 3 in your case if you pick it two times you gotta multiply the chances 1/4*1/4=1/16

This spinner will be spun twice.What is the probability of spinning an odd number both times?

Answers

The Probability of spinning an odd number both times is [tex]\dfrac{1}{2}[/tex].

The formula of Probability

Probability is calculated by the ratio of favourable outcomes and the total number of outcomes.

How to find the probability?

The total number of outcomes of spinning numbers will be 4 that is 1,2,3,4.

And in which the odd numbers are 1,3.

Therefore the favourable outcome of spinning an odd number both the times will be 2.

Then, the probability will be

[tex]P=\dfrac{2}{4} \\P=\dfrac{1}{2}[/tex]

So, the probability of spinning an odd number both times will be [tex]\dfrac{1}{2}[/tex].

Learn more about Probability here- https://brainly.com/question/13957582

#SPJ2

Pretty tricky, first correct answer will get brainliest シ︎❤︎✰​

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

a) The angles should sum to 90 degrees as it is a right angle

Thus x = 90 - 24 - 24

x = 42

b)

(i) It would be j as corresponding angles are equal

(ii) p + q + r = 225

Have A Nice Day ❤    

Stay Brainly! ヅ    

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Write the word sentence as an equation.

The quotient of 36 and a number g is 9.

Answers

Answer:

[tex]\frac{36}{g}[/tex]=9

The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do
you have to pay if you buy 8 shirts?

Answers

Answer:

360

Step-by-step explanation:

50x4=200

200x0.9=180

180x2=360

If f(x) =(2,9%), what is f(3)?
A. 1/729
B. 729
C. 1/81
D. 81

Answers

Answer:

CCC

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

a p e x (just took the quiz)

a sector with a central angle measure of 175 degrees has a radius of 12 cm, what is the area of the sector

Answers

Answer:

70pi

Step-by-step explanation:

Answer: 70π cm²

Step-by-step explanation: Khan Academy

A)Greg
B)tony
C)Robert
D)John

Answers

Answer:

C

Step-by-step explanation:

Let's compare 3/7 and 3/4 first. These two fractions have the same numerator but not the same denominator, so the fraction with the smaller denominator will be larger. Therefore, 3/4 is larger, so we can eliminate A.

4/9 is less than 1/2, and 3/4 is greater than 1/2, so 3/4 is greater than 4/9 and we can eliminate B. The same goes for D.

Therefore, our answer is C) Robert. Hope this helps!

Angle relationships with parallel lines can someone answer please help

Answers

Answer:

x°= 34°

m<x and angle measuring 34° are corresponding angles since two lines are parallel with a third line intersecting them.

How do I find the perimeter for a square and a triangle?












Answers

Answer: 24 inches.

Step-by-step explanation:

You can find the perimeter of the polygon by adding the side lengths.

First, find the missing side lengths.

There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.

We can then add the sides to find the perimeter:

4 + 9 + 5 + 1 + 5 = 24 inches long.

Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.

Which ratio is equivalent to the ratio 18:24?
15:20
20:15
30:36
36:30

Answers

Answer:

Its none of the above but its 36:48 so try 36:30

Step-by-step explanation:

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