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3 years ago

Can someone help me plzzz and thank you

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

(0.5,-6)

Step-by-step explanation:

mid point=(x1+x2)/2

=(-3+4)/2

= 1/2

=0.5

midpoint=(y1+y2)/2

=(-9+(-3))/2

=(-9-3)/2

=--12/2

=-6

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3 years ago

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3 years ago

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3 years ago

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Eva8 [605]

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8 0

3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

malfutka [58]

Answer:

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The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

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At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

3 0

3 years ago