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Liono4ka [1.6K]
3 years ago
8

Help me ASAP for this question

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

That's a y intercept of 1 and a slope of 1 up for every five to the right, 1/5.

y = (1/5) x + 1

(0,1), (5,2), (10,3), (15,4)

That's the first choice

Answer: first choice

steposvetlana [31]3 years ago
4 0

Answer:

It would be the first graph, because if you look at the points on your graph the first one is (0,1), the the next one is (5,2), and so on so forth, that makes your answer the first graph, because that table is showing you the points that are marked

Step-by-step explanation:

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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.

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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

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Step-by-step explanation:

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Step-by-step explanation:

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.
anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

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