The answer is 56! How you do this, is you take 80, and you multiply it by 7. Then you divide that answer by 10. Then you have your answer! I’m really bad at math but I do know how to do that!

5 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:

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 $(0,8 )$

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

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

3 0

3 years ago

Write the percent as a fraction in simplest form<br><br> 16.24%

Alja [10]

16 24/100 or 16 6/25

3 0

4 years ago