Answer:
Following are the solution to this question:
Step-by-step explanation:
differentail equation:
[tex]yu_{xy} + u = 0..........(1)[/tex]
when [tex]u(x,y) = X(x)Y(y)[/tex]
[tex]u_x = \frac{\partial u}{\partial x} X'Y' \\\\ u_{xy} = \frac{\partial^2 u }{ \partial x\ \partial y}= X'Y'[/tex]
by substituting the value we get:
[tex]\to \int \frac{Y'}{Y} = -\lambda \int \frac{1}{y} dy\\\\[/tex]
by solving the value:
[tex]\to Y=c_3 y^{-\lambda}\\\\\therefore\ \ c_4=c_2C_3\\\\\to u(x,y) = c_4 e^{\frac{x}{\lambda}} y^{-\lambda}[/tex]
The solution of the given partial differential equation will be
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
What is partial differential equation?The partial derivative is a way to find the slope in either the x or y direction, at the point indicated.
[tex]yu_{xy}+u=0..............................(1)[/tex]
Now if [tex]u(x,y)=X(x)Y(y)[/tex]
[tex]u_x=\dfrac{\partial u}{\partial x} X'Y'[/tex]
[tex]u_{xy}=\dfrac{\partial^2u}{\partial x\ \partial y}=X'Y'[/tex]
by substituting the value, we get:
[tex]\int \dfrac{Y'}{Y}=-\lambda\int\dfrac{1}{y}dy[/tex]
by solving the value:
[tex]Y=c_3y^{-\lambda}[/tex]
[tex]c_4=c_2c_3[/tex]
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
Hence the solution of the given partial differential equation will be
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
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A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where
would the hot air balloon be? ( 1 feet = 1 sandbag)
Answer:
21 feet above sea level.
Step-by-step explanation:
If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.
Answer:
21ft
Step-by-step explanation:
Express 600 as a percentage of 125
Answer:
480%
Step-by-step explanation:
600/125*100=480
Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D
Answer:
B) employers
Step-by-step explanation:
EDGE 2021
A rectangle has a perimeter of 32 in. Find the length and width of the rectangle under which the area is the largest.
a. Let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x and y) A=_____
b. The condition that x and y must satisfy is y=______
Answer:
Length of the rectangle is 8 in and the breadth is 8 in.
a. [tex]A=xy[/tex]
b. [tex]y=16-x[/tex]
Step-by-step explanation:
Length = x
Breadth = y
Area is given by [tex]A=xy[/tex]
Perimeter of rectangle is given by
[tex]2(x+y)=32\\\Rightarrow x+y=16\\\Rightarrow y=16-x[/tex]
The condition that x and must satisfy is [tex]y=16-x[/tex]
So, area is
[tex]A(x)=x(16-x)\\\Rightarrow A(x)=16x-x^2[/tex]
Differentiating with respect to x we get
[tex]A'(x)=16-2x[/tex]
Equating with zero
[tex]0=16-2x\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]
Double derivative of A(x)
[tex]A''(x)=-2[/tex]
So [tex]A''(x)<0[/tex] which means [tex]A(x)[/tex] is maximum at [tex]x = 8[/tex]
[tex]y=16-x=16-8\\\Rightarrow y=8[/tex]
So length of the rectangle is 8 in and the breadth is 8 in.
What is the value of x?
7.5/x= 30/16
Answer:
4
Step-by-step explanation:
I divided 30/16 and got 1.875, then I knew that 7.5 would have to have the same answer. I did a process of elimination by dividing 7.5 by numbers at random and finally divided by 4 and got the answer. Another way to get the answer would be to cross multiply the equation.
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
Please mark Brainliest!!!
plz help and thankkkkm you
Answer:6(x+7= 42
Step-by-step explanation:
what is (8 + 56) ÷ 4 + 3 2?
um is the end a 3 and 2 or 32 or 3*2?
Answer:
the answer to your question is 48
is × = 5 a solution to the equation 19 - × = 14
Answer:
19 - 5 = 14
Step-by-step explanation:
this answer is correct
Evaluate 24 + |-27-y| (-7)-x
Answer:
kr3kf,,xdk,xe3,ke,kex,ks,l,sl,r4kf
Step-by-step explanation:
nyjogtqGTKJMIYTRFEWDGTYU87R4EW2ERT5YUIO0IUJHYGFREDRGHJKL.BBRTBTRN
Put these rational numbers in ascending order: 1/2, 55%, 1/3, 0.52
O 1/2, 55%, 1/3, 0.52
O 55%, 0.52, 1/2, 1/3
O 1/3, 1/2, 0.52, 55%
O 1/3, 0.52, 1/2, 55%
Answer:
1/3, 1/2, .52, 55%
Step-by-step explanation:
A picture is 3 in. wide by 5 in. high was enlarged so that the width was 15 inches. How high is the enlarged picture?
Answer:
25
Step-by-step explanation:
trust me
WHICH IS EQUIVALENT TO A divided by 2
2A
1/2 A
2/A
A/2
CONGRUENT TRIANGLES WORKSHEET. NEED ASAP DUE TODAY
Answer:
Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.
AD=5x+11
in the congurent triangle, the corresponding side equals:
CM=7x-3
CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...
5x+11=7x-3
Now we just solve to find the length of AD and CM (equal lengths)
5x+11=7x-3
11=2x-3
14=2x
7=x
x=7
If x=7 then we can plug it in for AD to find the side length.
5(7)+11=46
Notice that CM equals the same 7(7)-3=46
This is because... they are congruent triangles.
These rules also apply for all angle measurements of congruent triangles:
The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)
We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.
(6x7+1)=43°
therefore the m<v is equal to 43°
46 and 43° is your answer
Step-by-step explanation:
Louise Bourgeois obtained a $3,200 installment loan for a marble floor in her foyer. The
annual percentage rate is 9%. She must repay the loan in 24 months. Find the (a) monthly
payment using the formula, (b) total amount repaid, and (c) the finance charge.
roger is at the bakery. he is thinking of buying 1 ¾ lb of rainbow cookies. rainbow cookies cost $11.50 per pound. how much would the cookies cost?
Answer:
The cookies would cost $20.125
Step-by-step explanation:
You would mulitply 1 3/4 by 11.50 to get your answer
Answer:
Step-by-step explanation:
11.50 a pound and he buys 1 3/4 a pound.
11.50*1.75= $20.125 or $20.13 if you round.
which of the ordered pairs is a solution to the system of inequalities?
Consider the function. f(x) = 2x(x - 1)
What are the values of
f(0)=
f(3)=
f(-4)=
Answer:
3
Step-by-step explanation:
7474 divide 6 answer pleasee
Answer:
7474/6=1245 2/3
evaluate a+b for a= -9 and b=6
Answer:
-9+6=-3
Step-by-step explanation:
LET ME KNOW IF I GOT THEM ALL RIGHT PLS
Answer:
I think so
Step-by-step explanation:
Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)
What is the slope of the line that contains these points?
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
Step-by-step explanation:
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Have a good day :)
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Hence, the x-intercept is 13.
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How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?
Equation:
alcohol + alcohol = alcohol
0.40x + 0.85*10 = 0.65(x+10)
----
40x + 85*10 = 65x + 65*10
20*10 = 15x
-----
x = (2/3)20
---
x = 13 1/3 gallons (amt. of 40% solution needed)
the cement truck can pour 20 pounds of cement I 45 seconds how long will it take the cement truck to pour 150 pounds of cement
Factor this expression completely.
6x^2- 13x - 28
Answer:
this is the solution
(2−7)(3+4)
Step-by-step explanation:
Answer:
(X+1)(6x-21)
Step-by-step explanation:
6x^2- 13x - 28
6x^2-(21-6)x-28
6x^2-21x+6x-28
X(6x-21)+1(6x-21)
(X+1)(6x-21)
What is the equation of the line in slope-intercept form? Enter your answer in the boxes y = __x + __
Answer:
y = 3/5x + 3
Step-by-step explanation:
Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6
Answer:
To find this, multiply 6 by the decimal value of the percent.
6*2.6=15.6
Final answer: 15.6
Step-by-step explanation:
Answer:
15.6 or c
Step-by-step explanation:
X intercept for -3x+10
Answer:
(10/3, 0)
Step-by-step explanation: