solve pls brainliest

a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

rhombus opposite sides are equal.

So, CD = 15

Answer:

i think its c in my opionion not sure tho

Answer:

D. 13/36

Step-by-step explanation:

Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x  

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

Answer:

58 seconds.

Step-by-step explanation:

Since one minute equals 60 seconds, Carlos took 63 seconds.

Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.

Answer:

A- 8x+9

Step-by-step explanation:

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Answer:

you need the distance they're running and the pace they are running at.

Answer:

22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 5(3) + 7 = 15 + 7 = 22

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

Answer: y = 3/5x + 6

Step-by-step explanation: Slope intercept form is y = mx + b

We must convert your problem into this.

3x - 5y = -30

-5y = -30 - 3x

-5y = -3x - 30

y = (-3x - 30)/-5

y = 3/5x + 6

Would appreciate brainly <3

[tex]g(x) = 4 |x| = x = 0[/tex]

Step-by-step explanation:

these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.

the advantage of factorization is to see the 2 solutions for y=0 right away.

the general form is

y = (x + a)(x + b)

and the y=0 solutions are then simply x = -a and x = -b.

in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.

that makes the factorization :

y = (x - 1)(x - 5)

when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.

in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).

it is seemingly at x = -2.

since both solutions are equal, we have also two equal factors.

that makes the factorization

y = (x + 2)(x + 2) = (x + 2)²

Answer:

about 20 cents

Step-by-step explanation:

#Shop A

Pack of 70pens:-

[tex]\\ \sf\longmapsto 7(2.30)=16.10[/tex]

#2

Pack of 70

[tex]\\ \sf\longmapsto 14(1.60)=20.80[/tex]

But you get half price

Difference:-

[tex]\\ \sf\longmapsto 16.10-10.40=5.70\£[/tex]

Answer: $37.15

Step-by-step explanation:

$31.958

Step-by-step explanation:

I'm not sure guys if that's right answer

Answer:

2.57×104= 267.28

2.57×10-1= 24.7

Answer:

2.57x10^4 is 100,000 Greater that 2.57x10^-1

Step-by-step explanation:

2.57x10^4 has a power by 4 which means

10^4 = 10,000

and 2.57x10^-1 has a power by -1 which means

10^-1 = 0,1

therefore 2.57x10^4 is 100,000 Greater that 2.57x10^-1

Answer:

Step-by-step explanation:

Paul used the following identities:

Anthony used the identity:

Answer:

21.4m

Step-by-step explanation:

Circumference : x diameter

is approximately 3.142

3.142 x 6.8 = 21.3656

Nearest tenth = 21.4m

Answer:

40 students earned a B on this paper.

40%×80=32 people who chose action as their fav.

Answer: 36

Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36

It is 1.39 standard devaitions away from the mean.

Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.

The amount of rainfall last year was X = 63 inches.

The difference between X and the mean x is d = X - x

= 63 - 51.84 in

= 11.16 in

To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.

So, n = d/σ

= 11.16 in/8.05 in

= 1.39

So, it is 1.39 standard devaitions away from the mean.

Learn more about number of standard deviations here:

https://brainly.com/question/24254824

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

Answer:

Least to greatest

0.75 , 1.25 , -1. 08 , -0. 5

Step-by-step explanation:

Hope my answer helps you

Answer:

Step-by-step explanation:

the first ine make sense to me

if not right sorry

Answer:

0.5in and 2in

Step-by-step explanation:

It is the answer

Answer: Disagree. 1 in 8 bars are cinnamon.

Step-by-step explanation:

There are a total of 8 bars in the pack. Cinnamon is 1 of the 8. Therefore, for every 8 bars, one is cinnamon.