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
.
z = 3m - 2n
Step-by-step explanation:
1000^m ÷ 100^n
Rewrite them in exponent form
That's
10^3m ÷ 10^2n
Since the bases are the same and they are dividing we subtract the exponents
That's
10^3m - 2n
Comparing it with 10^z
10^3m - 2n = 10^z
z = 3m - 2n
Hope this helps you
Answer: The average velocity of the object over the time interval [3,6] is 20.
Step-by-step explanation:
Since we have given that
s(3) = 156
s(6) = 216
We need to find the average velocity over the time interval [3,6].
So, average velocity becomes

Hence, the average velocity of the object over the time interval [3,6] is 20.
Answer:
r = -5
Step-by-step explanation:
common ratio (r) is found be dividing one term by its preceding term:
r = 275 ÷ -55 = -5
or, r = -55 ÷ 11 = -5
Therefore, r = -5
Answer:
C. -3, 3, -3, 3, ...
Step-by-step explanation:
-3×-3 = 3
3×-3 = -3
etc...
Hope this helps! :)