Answer: The field F has a continuous partial derivative on R.
Step-by-step explanation:
For the field F has a continuous partial derivative on R, fxy must be equal to fyx and since our field F is ∇f,
∇f = fxi + fyj + fzk.
Comparing the field F to ∇f since they at equal, P = fx, Q = fy and R = fz
Since P is fx therefore;
∂P ∂y = ∂ ∂y( ∂f ∂x) = ∂2f ∂y∂x
Similarly,
Since Q is fy therefore;
∂Q ∂x = ∂ ∂x( ∂f ∂y) = ∂2f ∂x∂y
Which shows that ∂P ∂y = ∂Q ∂x
The same is also true for the remaining conditions given
If we turn this to a ratio we get 64:16 and we need ?:18.5. To easily solve this we would divide 64 by 16 and 64/16= 4 now that we know that the shoulder width is 1/4 if a persons height we can then multiply 18.5 by 4 to find the woman’s height. 18.5x4=74
So your answer is 74 inches
Hiii
all you do is subtract...
534-476=58
58 spots are left.
Answer:
The perimeter of the trapezoid is 
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem

the formula to calculate the distance between two points is equal to
we have

step 1
Find the distance QR

substitute the values in the formula
step 2
Find the distance RS

substitute the values in the formula
step 3
Find the distance ST

substitute the values in the formula
step 4
Find the distance QT

substitute the values in the formula
step 5
Find the perimeter
