3 years ago

What is the answer hellllp

Mathematics

1 answer:

sveta [45]3 years ago

6 0

Rewrite 13/5 as 26/10

Add the two pieces together:

26/10 + 33/10 = 59/10

Rewrite 7 meters as 70/10

Subtract the two pieces:

70/10 - 59/10 = 11/10 meter left

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-9 − f − 7 = -7f + 8

Alex73 [517]

Answer: 4

Step by step explanation

-9-f-7=-7f+8
7f-f=9+8+7
6f=24
f=24/6
f=4

3 0

4 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max

liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

$\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)$

Then, the maximum rate of change is $|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89$ in the direction of (5,8).