Use Green's Theorem to evaluate the line integral along the given positively oriented curve.

∫ c(y+e√x)dx+(2x+cosy2)dy,

C is the boundary of the region enclosed by the parabolas

y=x^2 and x=y^2

Answers

Answer 1

Answer:

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Step-by-step explanation: See Annex

Green Theorem establishes:

∫C ( Mdx  +  Ndy )  = ∫∫R ( δN/dx  -  δM/dy ) dA

Then

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy

Here

M = 2x  + cosy²           δM/dy  =  1

N = y + e√x                 δN/dx  =  2

δN/dx  -  δM/dy  =  2  -  1   = 1

∫∫(R) dxdy   ∫∫ dxdy

Now integration limits  ( see Annex)

dy  is from   x  = y²    then     y = √x    to  y = x²   and for dx

dx   is from 0   to  1 then

∫ dy    = y | √x   ;   x²      ∫dy    =  x² - √x

And

∫₀¹ ( x² - √x ) dx    =  x³/3  - 2/3 √x |₀¹    =   1/3 - 0

∫ C ( y + e√x) dx  +  ( 2x + cosy² ) dy = 1/3

Use Green's Theorem To Evaluate The Line Integral Along The Given Positively Oriented Curve. C(y+ex)dx+(2x+cosy2)dy,C

Related Questions

Given the coordinates for the function below, who of the following are coordinates for its inverse?

Answers

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

help 5 points

pls no wrong answer

Answers

Answer:

A (3, 4)  B (4, 2)  C (0.5, 0.25)  D (1, 2.5)  E (1.75, 4.25)

Step-by-step explanation:

The coordinate points of a point are (x, y) where x is the number on the x-axis and y is the number on the y-axis.

By looking at points A and B they're easy to tell.

For points C, D, and E they're in between whole numbers so by converting the number given which is a fraction you can get 0.25 from 1/4 which is half of 1/2, 0.5 from 1/2, 0.75 from 3/4 which is half of 1/2 plus 1/2, 1.25 from 1 1/4, etc....

What is the perimeter of this red polygon. Geometry!!

Answers

Answer:

13 cm.

Step-by-step explanation:

Add all the sides to get the perimeter

It would be 13 centimeters :)

What is the area of a triangle with a base of 10 cm and a height of 4 cm?

Answers

Answer:

20 cm

Step-by-step explanation:

have a nice day!! :)

Answer:

Su area es 20  

Step-by-step explanation:

bxa/2=10x4/2=20

De nada

Hey can you guys please help me understand. I need to find the answer to this question and my teacher explained how to do the assignment HORRIBLY. Please explain to me how you got the answer :)​

Answers

mmm  answer is 139.5 (C)

7x4.5=31.5

12x9=108

108+31.5=139.5

Answer:

A=139.5cm^2

Step-by-step explanation:

12x9=108---->Area of the rectangle A=l x w

9x7=63 divided by 2=31.5--->Area of the triangle  A=1/2 (b x h)

108+31.5=139.5cm^2

Hope this helps and can you give me brainliest pls?

Find the product ........

Answers

The answer is 3/4 l did on iready and l got it right

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

What is the measure of angle A? How do you know this?

HELPPP QUICK ANSWER BOTH PARTS

Answers

Answer:

x = 20 degrees

Step-by-step explanation:

We know this because angles next to each other in parallelograms add up to 180 degrees, so if we create an equation, 3x + 120 = 180 meaning that 3x = 60, which means that x = 20 degrees.

The volumes of two cubes are 32ft^3 and 1372ft^3
1. What is the ratio of their volumes?
2. What is the scale factor?
3. What is the ratio of their surface areas?
4. Find the surface are of the smaller cube if the larger cube has a surface area of 196ft^2

Answers

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²

3 customers entered a store over the course of 6 mintues. At what rate were the customers entering the store in customers per minute​

Answers

3 customer = 6 minutes

/6

1/2 customer = 1 minute

The rate were the customers entering the store in customers per minute​ is 1/2 customer per minute.

name this angle
X Х
4
Y
N ​

Answers

Answer:

no I have no answer

Step-by-step explanation:

noooooooooooooo

If a • b = b, what must the value of a be?

Answers

Answer:

the value of a would be one, i think

What is the length of the diagonal?
18 cm
9 cm

Answers

It’s 27 but I’m not 100% sure because I’m need more content

X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3

Answers

Answer: 67.725feet²

Step-by-step explanation:

A heptagon consist of 7 sides and Its area is calculated using the formula

= 1/2 × nsr

n = number of sides = 7

s = side length = 4.3

r = apothem = 4.5

Area = 1/2 × nsr

= 1/2 × 7 × 4.3 × 4.5

= 0.5 × 7 × 4.3 × 4.5

= 67.725feet²

Jamie ran 9.3 miles in 1.5 hours. How far did she run in miles per hour?

Answers

6.2 mph. i set up a proportion. it is right

HELP HOW DO I GET MORE THAN ONE PICTURE WHEN I ASK A QUESTION ‍♀️‍♀️

Answers

Answer:

Press browse files after the 1st one

Step-by-step explanation:

That just look at circle

Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?

Answers

Answer:

k-3 ≥8

Step-by-step explanation:

k-3 ≥8

kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.

What is the perimeter of the figure on the coordinate plane below.

Answers

Answer:

C) 22 units

Step-by-step explanation:

2x(9-1)=16

2x(5-2)=6

16+6=22

Answer: maybe 0 if i sound unreasonable then I'm really sorry I'm only in 4th grade.

Step-by-step explanation: -10 + 10 + -10 + 10

Using the Box plot you drew for the following data set, describe how the data is dispersed: 22, 35, 18, 30, 37, 20, 40, 18, 38, 38, 19, 27, 31, 34 no

Answers

56 because that’s the answer

I would just like to say...
PEOPLE, STOP ATTACHING LINKS!!!!!!!!!

Answers

Thank YOU!!! I was wondering what those links are for but I'm not taking a chance with that

Answer:

Yeah i was really stuck on a problem then 2 users answered and gave links.

Like bro i said no links!!!! :/

Help me gurlz!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

A and 3

B and 1

C and 4

D and 2

I hope this helps :)

Which expressions are equivalent to 3 1/4 - (- 5/8)?

Answers

Answer:

3.875

Step-by-step explanation:

Which of the following is a valid use of the associative property of addition?
A. (5+8.5) - 3.5 = 5+ (8.5-3.5)
B. (8.5+5) -3.5=(8.5-3.5)+5

Answers

B is the valid use of the associative property of addition

it takes 7/12 foot of ribbon to make a bookmark how many feet of ribbon will it take to make 15 bookmarks

plz answer this question without any links

Answers

answer: 8.75ft

Step:

7/12*15

=8.75

1.
A rock is thrown upward with a velocity of 12 meters per second from the top of a 28
meter high cliff, and it misses the cliff on the way back down. When will the rock be 5
meters from ground level? Round your answer to two decimal places.
Gravity Formula


PLS HELP

Answers

Answer:

The rock will be be 5  meters from ground level at time = 3.713 seconds

Step-by-step explanation:

As we know-

[tex]s(t) = -4.9 * t^2 + v_0t + s_0[/tex]

V0 = velocity

S0 = height above ground when thrown

Substituting the given values, we get -  

[tex]9 = -4.9* t^2 + 12 * t +32\\-4.9*t^2 +12*t + 23 = 0[/tex]

As per the formula

[tex]t = \frac{-12+ \sqrt{12^2 -4*(-4.9)*23} }{(2*(-4.9)} \\t = 3.713[/tex]

The rock will be be 5  meters from ground level at time = 3.713 seconds

Please help me i am not downloading anything

Answers

Answer:

on what

Step-by-step explanation:

Jack bought a case of 12 calculators for $60.00. He sold six for $52.00 each and six for $56.00 each. How much was Jack's profit on
the case of calculators?
A)
524.00
B)
$48.00
560.00
D)
$108.00

Answers

Answer: $48.00

Step-by-step explanation:

Jack bought 12 calculators for $60

he sold six for 52 and the other six for 56

52+56=108

108-60=48

How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?

Answers

- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.

"Branliest will be appreciated"

Part A. Describe a relationship modeled by the function f(x) = 4x³ - 72x² + 320x, and explain how the function models the relationship.
Part B. Identify and interpret the key features of the function in the context of the situation described in part A.

Answers

Answer:A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is: f(x)=4x3- 72 x2+320x

The first step to factor it is to extract common factor 4x: f (x)=4x(x2-18=80)

The second step is to factor the quadratic trinomial.

That is made by writing it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is: f(x)=(4x)(x-10)(x-8)

Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

x is the desired (unknown) length

4x is 4 times the desired length

x - 10 is 10 less than the desired length

x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

Volume = (4x)(x-10)(x-8)

The sum of the measures of three
angles is 90°
The measure of angle M is 2x
The measure of angle N is 3x + 8
• The measure of angle Q is 7x - 2
What is the value of x?
A. 7 B. 8
C. 9
D. 6

Answers

Answer:

A

Step-by-step explanation:

Equation

2x + 3x + 8 + 7x - 2 = 90        

Solution

Combine like terms on the left

12x + 6 = 90                    Subtract 6 on both sides

12x = 90 - 6

12x = 84                         Divide by 12

x = 84/12

x = 7

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