Answer:

Step-by-step explanation:
In order to find the answer we need to calculate the directional derivative:


The gradient of f is:

The unit vector can be found as:

The directional derivative at the point is:

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

Answer:
19
Step-by-step explanation:
• Shoes + Shoes + Shoes = 30
So, 1 Shoes = 10
• Man + Man + Shoes = 20
1 shoes = 10
20 - 10 = 10
2 man = 10
1 man = 10 ÷ 2 = 5
So, 1 man = 5
• x + x + Man = 13
(Idk what is that)
1 man = 5
13 - 5 = 8
2 x = 8
1 x = 8 ÷ 2 = 4
So, 1 x = 4
(Im seriously. Idk what is that (x))
We can conclude from that picture :
• Shoes + Shoes + Shoes
= 10 + 10 + 10
= 30
• Man + Man + Shoes
= 5 + 5 + 10
= 20
• x + x + Man
= 4 + 4 + 5
= 13
So, what if Shoes + Man + x = ...?
Shoes + Man + x
= 10 + 5 + 4
= <u>1</u><u>9</u>
So, the answer is 19
<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>
Answer:the warehouse's width is 100 feet.
Step-by-step explanation:
Let L represent the length of the rectangular warehouse.
Let W represent the width of the rectangular warehouse.
The rectangular warehouse was 20 feet longer than 3 times its width. This means that
L = 3W + 20
The perimeter of a rectangle is
the sum of all its sides. Therefore, the formula for determining the perimeter of a rectangle expressed as
Perimeter = (L + W)
If the perimeter of the warehouse was 840 feet, it means that
2(L + W) = 840
Dividing through by 2, it becomes
L + W = 420- - - - - - - - 1
Substituting L = 3W + 20 into equation 1, it becomes
3W + 20 + W = 420
4W = 420 - 20
4W = 400
W = 400/4 = 100
The standard deviation is 5 because (2+5+8)/3=5. So the equal square root is square root of 25