3 years ago

The product of - 6 and a number x, increased by 23 is – 163. What isthe number?

Mathematics

1 answer:

vodka [1.7K]3 years ago

4 0

Answer:

Hope this is correct

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Answer:

The magnitude is $\Delta f(0,8) = 72$

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

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

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

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

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

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Then plug in the x value into each angle expression
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The product of - 6 and a number x, increased by 23 is – 163. What isthe number?​

The product of - 6 and a number x, increased by 23 is – 163. What isthe number?