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nikitadnepr [17]
2 years ago
13

Which represents the domain of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Mathematics
1 answer:
olga2289 [7]2 years ago
7 0
Domain are the x values
It would be d) -6, -4, -1, 4
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Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w
Veseljchak [2.6K]

Answer:

B

Step-by-step explanation:

Its becuase I am right, here is the among us code btw QRTVRF

8 0
3 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

We conclude that the line integral is 1/2

4 0
3 years ago
Jarvis invested some money at 6% interest. Jarvis also invested $58 more than 3 times that amount at 9%. How much is invested at
DerKrebs [107]

9514 1404 393

Answer:

  • $3309 at 6%
  • $9985 at 9%

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

  y = 3x +58 . . . . . . . the amount invested at 9%

  0.06x +0.09y = 1097.19 . . . . . . total interest earned

__

Substituting for y, we have ...

  0.06x +0.09(3x +58) = 1097.19

  0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

  0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

  x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

  y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

8 0
3 years ago
Given the perimeter of a rectangle is 96 meter and the length is twice the width, find the dimensions. Solve algebraically.
barxatty [35]
96 + 96
2(96x2) is the answer
7 0
3 years ago
Read 2 more answers
Which number is between 3.22 and 3.36? <br> A. 3.2<br> B. 3.93<br> C. 3.37
siniylev [52]

Answer:

a?

Step-by-step explanation:

5 0
3 years ago
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