E
Step-by-step explanation:
cause it the best estimate of a value of an unknown parameter and E describes it best
What is the rate of change on [-1,4]
Answer:
The rate of change no [-1,4] is x
Question 1. (20 points) Evaluate the line integral Z C (x 5y) dx x 2 dy where C consists of the two line segments from (0, 0) to (5, 1) and from (5, 1) to (5, 0).
There are some symbols missing in your integral. I suspect you meant something along the lines of
[tex]\displaystyle \int_C (x+5y)\,\mathrm dx + x^2\,\mathrm dy[/tex]
but we can consider a more general integral,
[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]
One way to compute the integral is to split up C into two component paths C₁ and C₂, parameterize both, directly compute the integral over each path, then sum the results.
Parameterize C₁ and C₂ respectively by
〈x₁(t), y₁(t)⟩ = (1 - t ) 〈0, 0⟩ + t 〈5, 1⟩ = 〈5t, t⟩
〈x₂(t), y₂(t)⟩ = (1 - t ) 〈5, 1⟩ + t 〈5, 0⟩ = 〈5, 1 - t⟩
where 0 ≤ t ≤ 1. Then
[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_{C_1} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy + \int_{C_2} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy \\\\ = \int_{C_1} \left(f(x_1(t),y_1(t))\frac{\mathrm dx_1}{\mathrm dt} + g(x_1(t),y_1(t))\frac{\mathrm dy_1}{\mathrm dt}\right)\,\mathrm dt \\ + \int_{C_2} \left(f(x_2(t),y_2(t))\frac{\mathrm dx_2}{\mathrm dt} + g(x_2(t),y_2(t))\frac{\mathrm dy_2}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^1 \left(5f(5t,t) + g(5t,t) - g(5,1-t)[/tex]
If f and g agree with what I suggested earlier, the integral reduces to
[tex]\displaystyle \int_0^1 \left(5(5t+5t) + (5t)^2 - 5^2\right)\,\mathrm dt = \int_0^1 \left(25t^2 + 50t - 25\right)\,\mathrm dt = \boxed{\frac{25}3}[/tex]
Another way would be to close the path with a line segment from (5, 0) to (0, 0) and apply Green's theorem. Compute the resulting double integral, then subtract the contribution of the line integral over this third line segment. Provided that f(x,y) and g(x,y) don't have any singularities along this closed path C* or inside the triangle (call it T ) that it surrounds, we have
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\iint_T \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]
where T is the region,
[tex]T = \left\{(x,y) \mid 0\le x\le 5 \text{ and } 0\le y\le \dfrac x5\right\}[/tex]
The double integral has a negative sign because C* has a negative, clockwise orientation.
Then
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\int_0^5\int_0^{x/5} \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dy\,\mathrm dx[/tex]
If f and g are as I suggested, then
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_0^5\int_0^{x/5} (5-2x) \,\mathrm dy\,\mathrm dx = -\frac{25}6[/tex]
From this, we subtract the integral along the line segment C₃ from (5, 0) to (0, 0), parameterized by
〈x₃(t), y₃(t)⟩ = (1 - t ) 〈5, 0⟩ + t 〈0, 0⟩ = 〈5 - 5t, 0⟩
again with 0 ≤ t ≤ 1.
Then the remaining line integral is
[tex]\displaystyle \int_{C_3} f(x_3(t),y_3(t))\,\mathrm dx_3 + g(x_3(t),y_3(t))\,\mathrm dy_3 = \int_{C_3} x_3(t)\frac{\mathrm dx_3}{\mathrm dt}\,\mathrm dt \\\\ = \int_0^1 -5(5-5t)\,\mathrm dt = -\frac{25}2[/tex]
and so the original line integral is again -25/6 - (-25/2) = 25/3.
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4
Answer:
Y=K×X
when Y=-8 and X=4
-8=K×4
-8=4K divide both sides by 4
K=-2 constant
To find Y when X=-4,Y=? and K=-2
Y=-2×-4
Y=8
after allowing 20percent discount and levying 13percent vat the value of a watch will be rs 904 what is the marked price of watch
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Answer:
₹1000
Step-by-step explanation:
Let m represent the marked price. After the discount, the price is 0.80m. After the tax is added, the price is (0.80m)(1.13). This value is Rs 904, so the marked price is ...
(0.80m)(1.3) = ₹904
m = ₹904/(0.80×1.13) = ₹904/0.904
m ≈ ₹1000
The marked price of the watch is ₹1000.
evaluate the expression when b = 4 and y = -6.
-b + 5y
Answer:
Answer = -34
Step-by-step explanation:
B = 4 ; y = -6
So,
-4 + (5) (−6)
= −4 + −30
= −34
Hope you get it :)
The value of expression will be;
⇒ - 34
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - b + 5y
And, The values are,
⇒ b = 4, y = - 6
Now,
Since, The expression is,
⇒ - b + 5y
Substitute b = 4, y = - 6, we get;
⇒ - 4 + 5 × - 6
⇒ - 4 - 30
⇒ - 34
Thus, The value of expression is,
⇒ - 34
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Please help
Solve the inequality.
3 < 6x – 3 5 9
[?] = x= []
Answer:
(1 )= ..x = (2)
Step-by-step explanation:
(1) = x = (2)
Answer: 1 ≤ x ≤ 2
Step-by-step explanation:
Given inequality
3 ≤ 6x - 3 ≤ 9
Add 3 on all sides
3 + 3 ≤ 6x - 3 + 3 ≤ 9 + 3
6 ≤ 6x ≤ 12
Divide 6 on all sides
6 / 6 ≤ 6x / 6 ≤ 12 / 6
[tex]\boxed{1}[/tex] ≤ x ≤ [tex]\boxed{2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you
Which percent is equivalent to 3/5 ?
Answer:
the answer will be 60 percent
=60%
A group of friends were working on a student film that had a budget of $900 they use 87% of their budget on costumes how much money did they spend on costumes
Please help with average rate of change algebra 2
Answer:
3 units per hour
Explanation:
Time = 9 hours
Difference in sales = 24 (Chromebooks)
24 ÷ 9 = 2.66...
When rounded, it equals 3.
Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?
Answer:
the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.
Step-by-step explanation:
Step 1:
Measure the change in X and Y of a single length of the original image.
X1 = 3.5
Y1 = 5
Step 2:
Measure the change in X and Y of the same length on the modified image.
X2 = 8.5
Y2 = 12.5
Step 3:
use formula SF = X2/X1 = Y2/Y1
(SF = Scale Factor Dilation)
(X2 and Y2 = change in X and Y of the same length on the modified image.)
(X1 and Y1 = change in X and Y of a single length of the original image.)
X2 = 8.5
8.5/X1
X1 = 3.5
8.5/3.5
8.5/3.5 = 2.4
2.4
1 : 2.4
Need help in 8 seconds ASAP
select the line segment
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20Solve for 2:
15.8
18.2
48
17.6
Answer:
x = 17.6
Step-by-step explanation:
We know that a quadrilateral will have a total of 360 degrees. We can create an expression and solve for x.
5x + 7x + 3x + 6 + 90 = 360
~Combine like terms
15x + 96 = 360
~Subtract 96 to both sides
15x = 264
~Divide 15 to both sides
x = 17.6
Best of Luck!
A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need
Answer:
4 packages
Step-by-step explanation:
Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds
8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown
Answer:
lol someone just deleted my answer but like i said i cant really tell you unless you could possibly turn it around like up straight
Step-by-step explanation:
Graph the following piecewise function and then find the domain.
[6,9)
(6,9]
(-4,9)
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Answer:
domain: (-4, 9)
Step-by-step explanation:
The graph is defined for all points between -4 and 9, but not for those two points. In interval notation, the domain is (-4, 9).
which point is a solution to the following system:
y=-3x-13
x+2y=4
Find the value of: a.5x³ + x² – 10x when x = 2
Answer:
24
Step-by-step explanation:
5x³ + x² – 10x
5(2)³ + (2)² - 10(2)
5(8) + 4 - 20
= 40 + 4 - 20
= 44 - 20
= 24
simplify the expression and enter your answer below
(17^1/7)^7
Helppp
Find the measure of ∠3.
5^{x+1}-5^{x+2}=-2500. Find x
Answer:
x is 3
Step-by-step explanation:
[tex] {5}^{(x + 1)} - {5}^{(x + 2)} = - 2500 \\ [/tex]
divide all sides by -1:
[tex] {5}^{(x + 2)} - 5 {}^{(x + 1)} = 2500[/tex]
from law of indices:
[tex]( {5}^{x} . {5}^{2} ) - ( {5}^{x} . {5}^{1} ) = 2500[/tex]
factorise out 5^x:
[tex] {5}^{x} ( {5}^{2} - {5}^{1} ) = 2500 \\ {5}^{x} (20) = 2500 \\ {5}^{x} = 125 \\ {5}^{x} = {5}^{3} \\ x = 3[/tex]
One branch of a stream is 45.27 meters long. It leads into another stream that is 503.62 meters long.
What is the total length of the stream?
From the information given, the total length of the stream will be 548.89 meters
The length of the first stream = 45.27 meters
The length of the second stream = 503.62 meters
The total length of the stream will be equal to the addition of the length of the first stream and the second stream and this will be:
= 45.27 meters + 503.62 meters
= 548.89 meters
Read related link on:
https://brainly.com/question/24443880
Answer
The correct answer iss 548.89
Step-by-step explanation:
45.27+503.62=548.89
Hope this helps!
16. An empty jar has a volume of
8x^2 + 2x - 4 cubic inches. Josh pours
4x^2 – 3x +2 cubic inches of water
into the jar. How many more cubic
inches of water could the jar still
hold?
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Answer:
4x^2 +5x -6
Step-by-step explanation:
The remaining empty space is the difference between the original amount of empty space and the volume that was filled.
(8x^2 +2x -4) -(4x^2 -3x +2) = 8x^2 +2x -4 -4x^2 +3x -2
= (8 -4)x^2 +(2 +3)x +(-4 -2)
= 4x^2 +5x -6
The jar could hold 4x^2 +5x -6 more cubic inches.
What is the equation of the line that is perpendicular to the line x=2 and
goes through the point (1,-3)? *
Step-by-step explanation:
P(x,y)=(1,-3)
line is perpendicular to x=2 which shows that line is parallel to x-axis.
angle=0°
m=tan(angle)
m=tan0°
m=0
By using point slope form:
y+3=0(x-1)
y+3=0
Note:if you need to ask any question please let me know.The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3
Answer:
the function is always increasing
Step-by-step explanation:
if you look at the graph, as x increases, y increases, no matter how small the increase
60% of a number is 1,944. 61% is 1,976.4. What is 2% of that number?
Answer: 64.8
Step-by-step explanation:
60/100=1944/x (cross multiplication
(1944*100)/60 = 3240
2% of 3240 =
2/100 = x/3240
64.8
( this helps with percentage (%/100=is/of) and cross multiplication)
I NEED SOMEONE TO ANSWER THIS QUESTION
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided.
If 20% percent want an ice cream party, how many students are in the class
Answer:
25
Step-by-step explanation:
5=20% of x
0.20x=5
divide both sides by 0.20
x=25