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elena-14-01-66 [18.8K]
3 years ago
11

The number of hours Linda sleeps each night for two weeks is shown. Find the mean absolute deviation, rounding to the nearest wh

ole number. Explain how this value describes the distribution of the data.
Mathematics
1 answer:
NARA [144]3 years ago
6 0
Can you please tell me the values

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A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
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Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

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3 years ago
George is 8 years older than Christopher and Ford is 2 years younger than Christopher. The sum of their ages is 60. Find the age
dedylja [7]
 george would  be 10 year older than ford
6 0
3 years ago
Read 2 more answers
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