applied partial differential equations 7.7.2

Answers

Answer 1

The solution of the partial differential equation 7.7.2 is given by

u(x,t) = t^2 sin(2πx) + c,u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.

Partial differential equations are mathematical equations used to describe how a function changes as its inputs change. The equation 7.7.2 is a linear second order partial differential equation in two independent variables. It has the form of a generalized wave equation, in which a wave propagates through a medium with varying physical properties.

To calculate partial differential equations u(x,t) for given values of x and t:

Let x = 0.3 and t = 1.5

Substituting these values into the equation, we get:

u(0.3,1.5) = (1.5)^2 sin(2π(0.3)) + c

= 2.25 sin(0.6π) + c

= 2.25(0.87) + c

= 1.96 + c

Therefore, u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.

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Related Questions

Which inequality is equivalent to -m ≥ 15?

A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15

Answers

Answer:

b I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To solve this equation, since m is negative you need to get rid of that negative by dividing each side by -1. this will leave m and make 15, -15. so the equation will be c, m is less than or equal to -15.

I need help with this question

Answers

Answer:

R=34

Step-by-step explanation:

As, pythoreon therom states = a2 + b2= c2

a= 16, 16^2 = 256

b= 30, 30^2 = 900

c2= 900+256

c2 = 1,156

c= 34

So, 16^2 + 30^2 = 34^2

Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?

Answers

Answer:

1

1

3

cups

Explanation:

This is a ratio question. If we are comparing the ratios, we could say

24

36

=

x

2

where x = the amount of sugar to make 24 cookies.

We can multiply both sides by 2 to cancel the 2 on the right, making

24

(

2

)

36

=

x

.

Simplify this and we get

48

36

and eventually

4

3

or

1

1

3

.

Step-by-step explanation:

You want to do 36/2 then figure out how many time that number goes into 54 and then that’s your answer for how many cups of sugar he should use.

Hope that helps!!

The answer is 3

In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?

Answers

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles  [tex]=76*2+38[/tex]

                                    [tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

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divide the product of d and 6 by 4

Answers

Answer:

d/24

Step-by-step explanation:

1. Carlos tiene un terreno de 30.000 m2, él
vende 3/5 del total del terreno y recibe por
la venta $27.000.000.000; en 1/3 del
terreno restante va a construir una piscina
que tiene de profundidad desde 1,2 metros
hasta 1,8 m en forma descendente; en el
resto del terreno va a construir una casa.
De la información, se puede decir que Carlos
vendió cada m2 por un valor de
A. $1.500.000
B. $1.800.000
C. $2.100.000
D. $2.400.000
PROCEDIMIENTO:

Answers

Answer:

d)şıtkı abi nasıl bilemesin

La opción correcta es A. Carlos vendió cada m2 a $1.500.000.

Dado que Carlos tiene un terreno de 30.000 m2, y vendió 3/5 del total del terreno y recibió por la venta $27.000.000.000; para determinar el valor en que Carlos vendió cada m2 se debe realizar el siguiente cálculo:

27.000.000.000 / (30.000 x 3/5) = X27.000.000.000 / 18.000 = X1.500.000 = X

Por lo tanto, Carlos vendió cada m2 a $1.500.000.

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HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?

Answers

Answer:

(8x² + 10x -4) pages

Step-by-step explanation:

2x² + 5x – 3 + 5x – 3 + 6x²+ 2

2x² +6x² +5x +5x -3-3+2

8x² + 10x -4

Find the measure of this angle in the triangle.

Answers

Answer:

the angle measures 85 degrees

i need help urgently lease :D

Answers

Answer:

y=4

-2y=8

y=8/2

xndnndndnd

Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)

Answers

The value of each Trigonometric ratio in a right angle triangle given are;  sin X = 4/5 and cos C = 40/41

How to express Trigonometric Ratios?

From the attached image, we can see the triangles to find the trigonometric ratios.

Now, the formula for sin and cos in a right angle triangle is;

sin = opposite/hypotenuse

cos = adjacent/hypotenuse.

Thus;

1) sin X = 32/40 = 4/5

2) cos C = 40/41

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the question is in the picture. it’s math.

Answers

Answer:

Step-by-step explanation:

1). (8x - 49)° = (5x + 23)°

8x - 49 = 5x + 23

3x = 72

x = 24

2). m∠VST + m∠SVU = 180°

(5(24) + 23)° + m∠SVU = 180°

m∠SVU = 180° - 143°

m∠SVU = 37°

m∠SVT = 37° - 20° = 17°

Four times a number is greater than 48

Answers

Answer:

12

Step-by-step explanation:

Answer:

4x>48

x>12ans.this is the correct answer

The graph below is the graph of a function.

True or False??

Answers

Answer:

mmmmmmmm I wanna say it's false. like almost positive

Answer true
Explanation: what makes a graph function is a set of points in the plane is the graph of a function if and only if no vertical line intersects the graph in more than one point

234 students in 9 different classrooms. What is the ratio of students to classrooms?

Answers

Answer:

26 students per classroom

Step-by-step explanation:

To solve this, the ratio 234 students:9 classrooms must be converted to:

s students:1 classroom

To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:

26 students: 1 classroom

Which of the following angles is corresponding with <5
2
7
8
4​

Answers

Answer:

<7

Step-by-step explanation:

<5 and <7 are cut by the same transversal, so that should be the answer!

Hope that helps!

Solve for z.
2
39z+ 17z = 0

Answers

Answer:

Z = 0

Step-by-step explanation:

Z is 0 because there’s no other possible solutions


The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP




The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k

This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000

And it
a. Increases
b. Decreases

Answers

Answer:

The red graph. y intercept is at 20k and is decreasing

Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2

Answers

Answer:

Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.

PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.

Answers

I believe the answer is -(-3-2i)

can you guys help me again lol-

Answers

Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM

Answers

ven a chuparme el huevo

I NEED HELP WITH THIS ASAP!!!!

Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.

Let CC represent the total cost, in dollars, of producing pp phones in a given day.

The table below has select values showing the linear relationship between pp and C.C.

Determine the fixed cost for rent and equipment.

P C
2 1200
4 1600
6 2000

Answers

Answer:

it's 4,1600

Step-by-step explanation:

I hope my answer can help you

factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )

Answers

Answer:

2(3x+1)(x+1)

Step-by-step explanation:

First, we factor out the common term, which is 2.

2(3x²+4x+1)

Then, we factor the polynomial inside the parenthesis.

2(3x+1)(x+1)

Answer:

2(3x + 1)(x + 1)

Step-by-step explanation:

Given

6x² + 8x + 2 ← factor out 2 from each term

= 2(3x² + 4x + 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × 1 = 3 and sum = 4

The factors are + 3 and + 1

Use these factors to split the x- term

3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )

= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term

= (3x + 1)(x + 1) , then

3x² + 4x + 1 = (3x + 1)(x + 1)

and

6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form

Please help me !!!!!

Answers

Answer:

just don't answer that

Step-by-step explanation:

cause I don't know what is the answer

Ok I figured it out I think you just find the letter and then find the reflection I didn’t do them all

5x +1=4x +7
What is x

Answers

Answer:

Step-by-step explanation:

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.

What is the length of each shorter piece of rope?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

the length of each shorter piece is 8m long. In a fraction 8/16 which is 1/2.

Donte ordered the plans shown to build a skateboard ramp. Each unit represents one foot. He wants to keep the same slope of the ramp and extend the base of the triangle three feet. How tall will the ramp be

Answers

Answer:

3 feet

Step-by-step explanation:

The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.

The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:

[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the diagram of the ramp, we can see that:

The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:

[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:

height = slope * base = (1/3) * 9 = 3 feet

If the base is extended by 3 feet, the tall would be 3 feet tall.

Question 4 20 pts The measure of an interior angle of a regular polygon is 120°. Find the number of sides.​

Answers

Answer:

6

Step-by-step explanation:

180(n-2) / n = 120

180n - 360 / n = 120

180n - 120n = 360

60n = 360

n = 6

Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?

Answers

6.5 because you instantly take $9.50 away from $55. After you get that answer, you will have 45.5. Then divide 45.5 by 7 which will give you 6 and a half hours.

3)
Find the area of a rhombus with diagonals of 10 inches and 7 inches.
1)
A)
35 in 2
B)
40 in 2
C)
45 in 2
D)
70 in 2

Answers

Answer:

35 in 2      

Step-by-step explanation:

A, search it up.        :)

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The manager is therefore considering selling pizza at the store. She could buy premade frozen pizzas and heat them in an oven. The cost of the oven and freezer would be $27,000. The frozen pizzas cost $3.75 each to buy from a distributor and to prepare (including labour and a box). To be competitive with the local delivery services, the manager believes she should sell the pizzas for $8.95 apiece. The manager needs to write up a proposal for the universitys director of auxiliary services. a) Determine how many pizzas would have to be sold to break even. b) If the General Store sells 20 pizzas per day, how many days would it take to break even? c) The store manager anticipates that once the local pizza delivery services start losing business, they will react by cutting prices. 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