Answer:
7/3
Step-by-step explanation:
The slope is found by dividing the difference in the y-coordinates by the difference in the x-coordinates.
Here, the difference in the y-coordinates is: 4 - (-3) = 4 + 3 = 7. The difference in the x-coordinates is: 3 - 0 = 3.
Dividing 7 by 3, we get a slope of 7/3.
The slope you are looking for is 7.
Use separation of variables to find, if possible, product solutions for the given partial differential equation. (Use the separation constant −λ ≠ 0. If not possible, enter IMPOSSIBLE.)
k∂^2u/∂x^2 - u = ∂u/∂t, k>0
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]
To know more about partial differential equation follow
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Theo wants to find the surface area and volume of a present he received
Answer:
So whats the question then ????
Please,can you help me with this one?
Parker has 4 different piggy banks
one each for pennies, nickels,dimes, and quarters
If there are twenty coins in each of his 4 piggy banks,
what is the average amount of money contained in
each piggy back?
Answer:
Just multiply two with the value of one penny,one,nickel,one dimes,one quarters and add them you will get the ans.
A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. Find the probability of getting exactly two heads out of three tosses.
Answer:
If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
2/8 Because there is two answers that have two H's on them Ex: HHT, THH
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
What is the fourth term in a sequence defined by f(n) = 2n?
Answer:
8
Step-by-step explanation:
When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.
What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n. Since n is replaced with 4, we do the same with the sequence.
2(4)
Multiply
8
HELP QUICK!!! will give crown!! In a species of flowering plant, the color of the red flower (R) is dominant over the color of the white flower (R). What is the genotype of any red-flowered plant resulting from this species? *
rr
R
RR
RR or Rr
Answer: RR or Rr
A red allele present on at least one
of two homologous chromosomes.
Explaination:
Since red is dominant, only
one chromosome needs a red allele in
order for the plant to have red flowers.
Simplify: –6(2x – 5)
–12x – 30
–12x + 30
12x – 30
12x + 30
Answer: -12x + 30
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
-6(2x-5)
-6(2x+5)
-6(2x) + 6(5)
-12x +30
Fill in the table using this function rule.
y=3x-1
Answer:
Step-by-step explanation:
y= 3(1)-1 --> y=2 (1,2)
y=3(5)-1 --> y=14 (5,14)
y=3(6)-1 --> y=17 (6,17)
y=3(8)-1 --> y=23 (8,23)
Pls help with right answers
Answer:
Ava gives each cat 2 treats. 3 treats are left.
Step-by-step explanation:
15/6 = 2.5
If she wants to split them evenly then she can only give each cat 2 treats. so 2 x 6 = 12 which means that there are 3 treats left
Answer:
She will give 2 cat treats to each cat, with 3 cat treats remaining.
Step-by-step explanation:
Alright, it wants us to find what 15 divided by is is with the remainder.
6 goes into 15, 2 times, resulting in 12.
15 - 12 = 3
This means that she will give 2 cat treats to each cat, with 3 cat treats remaining.
I Hope this Helps!
Have a Great Day (because some other kid tried to ruin mine, but I won't let it affect me)!
1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x
Answer:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]
And we want to determine the intervals for which the function is increasing or decreasing.
We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.
To find the critical points, we need to find the first derivative and then solve for the x. So:
[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]
Differentiate:
[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]
Set the derivative equal to 0 and solve for x:
[tex]0=3x^2-11x-4[/tex]
Factor:
[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]
Zero Product Property:
[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]
Therefore, our critical points are -1/3 and 4.
We can thus sketch the following number line:
<————-(-1/3)——————————————(4)—————>
Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.
For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:
[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]
The result is positive.
Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).
For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:
[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]
The result is negative.
Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).
And finally, for greater than 4, we can use 5:
[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]
The result is positive.
Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.
Therefore:
[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]
In interval notation:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Solve this equation for y.
3x - 5y = 12
Answer: y= 3/5x -12/5
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
Step-by-step explanation:
Find the surface area of the square pyramid shown below.
9514 1404 393
Answer:
160 units^2
Step-by-step explanation:
Each of the four triangular faces has an area of ...
A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units
The square base has an area of ...
A = s^2 = 8^2 = 64
Then the total surface area is ...
A = base area + 4 · triangle area
A = 64 + 4(24) = 160 . . . square units
What is the answer to
5 + 3 x 3x -2 X=2
Answer:
x = 1/6
Step-by-step explanation:
help please : (
convert 10.0 cm into in
Answer:
3.93700787 Inch
Step-by-step explanation:
:)
Answer:
3.93701
Step-by-step explanation:
In order to convert cm into inches you divide the cm by 2.54.
I need help with this.
Answer:
C
Step-by-step explanation:
(-2,4) means that it excludes the numbers -2 and 4 from the set, but includes all the numbers in between -2 and 4!
A. this equals 4, so that's eliminated.
B. this equals -2, eliminated as well.
C. this equals 0.01! Which is in the set!
D. this equals 9.8696, WAY over 4!
The answer is C!
(side note, (-2,4) excludes -2 and 4, while [-2,4] includes -2 and 4. You can mix and match also! (-2,4] would exclude -2 but include 4, for example)
find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2
Answer:
is there multiple choices
what is 1 plus 1000000000
Answer:
1000000001
Step-by-step explanation:
Thanks for some free answer points! :)
3
3. Write an expression that is equivalent to
5
(3y + 15). (4 points)
O 3
-y + 9
5
03
-y + 15
5
09
5
Y + 9
09
- y + 15
5
Answer:
9/5y+15
Step-by-step explanation:
Look at the list below do the numbers show a pattern? explain how you know. 11.23, 10.75, 10.3, 9.82, 9.37, 8.89
Please help me on this question too! =)
Answer:
congruent angles
Step-by-step explanation:
Because congruent angles mean when two angles have the same measure.
Answer:
number 2 is the answer............
Congruent Angles
A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represents the amount of money that was raised for each member of the club? (Let the variable m be the number of members in the club.) (627.50 + 95) (m) (627.50 minus 95) (m) (627.50 minus 95) l m (627.50 + 95) l m
Answer:
option 3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Choose the word that best describes the distance between two points.
A. average
B. length
C. midpoint
D. slope
Insert a picture, please.
Pls help me out I really need help
Answer: -0.8
Step-by-step explanation:
If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%
Answer:
The answer is C 66%
Step-by-step explanation:
What must be true in order for AABC = AEDC by the SAS Congruence Postulate?
PLEASE HELP <3
Answer:
B
Step-by-step explanation:
At a school party there are 40 cookies. The ratio of chocolate cookies to oatmeal cookies is shown in the tape diagram.
There is no tape diagram edit and put it in so I can answer, thank you.
Need help asap
Graph f(x) = 3x + 4 and h(x) = f(x) +1
The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.
The given functions are f(x) = 3x + 4 and h(x) = f(x) +1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, h(x)=3x+5
The graph of f(x) = 3x + 4 is as follows:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept: (0, 4)
The coordinate points to plot on the graph are (0, 4) and (1, 7)
The graph of h(x)=3x+5 is as follows:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept: (0, 5)
The coordinate points to plot on the graph are (0, 5) and (1, 8)
The coordinate points to plot on the graph are (0, 5) and (1, 8). The graph for the given functions are plotted below.
To learn more about the function visit:
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#SPJ2
Complete ?:44=2:11
(Please help me )
Answer:
? = 8
Step-by-step explanation:
well
x/44 = 2/11
44 is greater than 11 by 4 times. so to get an equal fraction you need to multiply 2 by 4 to get 8. that way you get 8/44 which would simplify by dividing by 4 to get 2/11
