If there is such a scalar function <em>f</em>, then



Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :


Integrate both sides with respect to <em>y</em> :

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :



Integrate both sides with respect to <em>z</em> :

So we end up with

I’m pretty sure you multiply the sides your you find the formulas for the hight and width
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Answer:
4th option
Step-by-step explanation:
Given
A (- 5, 13 ) → A' (2, 9 )
- 5 → 2 → + 7 in the x- direction
13 → 9 → - 4 in the y- direction
The translation rule is
(x, y ) → (x + 7, y - 4 ) , then
B (4, - 2 ) → B' (4 + 7, - 2 - 4 ) → B' (11, - 6 )