P' (8,5)
Q' (3,14)
R' (10, 11)
Why: Anything that is translated left or right you will be changing the x axis, if the translation is right, you add, if its left, you subtract. If the translation is up or down, its going to change the y axis. Down means you subtract from the y axis, up means you add to the y axis.
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
Answer:
Cost of shipping and handling = $23.453
Step-by-step explanation:
Given
Price of Chair=$220.59
Tax=7.9%
Invoice Price=$261.47
In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.
To find the tax,
Tax amount=220.59*0.079
=$17.42661
Now,
Cost of shipping and handling=$261.47-$220.59-$17.42661
=$23.453 ..
2 x pi x 5 = 31.5 ft
633/31.5 = 20.1 revolutions
Answer:
50% of 100<75% of 104
50% of 100>75% of 60
Step-by-step explanation:
For the inequality to support the statement, we can use 50% of 100 which is 50
Now we need to find "any other number" that is greater. I'll use 104 since it divides evenly. 75% of 104 is 78, 50<78
Now for the second one, we can use 50% of 100 again which is 50.
This time we need to find another number that is less than. I'll use 60. 75% of 60 is 45. 50>45