Answer:



Step-by-step explanation:
The given function is

We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.


Differentiate partially w.r.t. y and x, z are constants.


Differentiate partially w.r.t. z and x, y are constants.



Therefore, the first partial derivatives of the function are
.
Answer:
40287600 = B. 4 x 
Step-by-step explanation:
<u>We first have to do the multiplication of the numbers given:</u>
19 * 2,120,400
=> 40287600
<u>Now we have to figure out how many digits are after the number 4:</u>
4, 0 2 8 7 6 0 0
7 digits
Meaning that we need an exponent of 7 for it to be in scientific notation, giving us with the answer B. 4 x 
FORMULA : Volume of the cylinder = πr²h
Volume = π x 4² x 3
Volume = π x 16 x 3
Volume = 150.8 ft³
Answer:
h = 2.4
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
271.4 = pi ( 6)^2 *h
271.4 = 36* pi* h
Letting 3.14 = pi
271.4 = 113.04 h
Divide each side by 113.04
271.4 /113.04 = 113.04h/113.04
2.424805379 = h
Rounding to the nearest tenth
2.4 = h
OR if we use the pi button
271.4 = 36 * pi *h
Divide each side by 36 pi
271.4/36pi = h
h=2.3997
Rounding to the nearest tenth
h =2.4