Answer:
The maximum error in the function G, ΔG = ±4
Step-by-step explanation:
G(x,y,z) = 20 In (xyz²)
Total or maximum error for a multi-variable function is given by
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
(∂G/∂x) = 20yz²/xyz² = 20/x
(∂G/∂y) = 20xz²/xyz² = 20/y
(∂G/∂z) = 40xyz/xyz² = 40/z
Δx = ±0.10
Δy = ±0.15
Δz = ±0.20
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)
At the point (x,y,z) = (2,3,4)
ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4
ΔG = ±4
4 - 3 - 6x³ - 2y³ + 3x³ + 5 + 2y³
4 - 3 + 5 - 6x³ + 3x³ - 2y³ + 2y³
6 - 9x³
Answer:
Step-by-step explanation:
Look at the picture.
NH: UD=0 ; AH: UD<0.
U is a Greek letter but I don't have a Greek keyboard. Both D shapes are subscript. NH stands for null hypothesis, AH is for alternative hypothesis. Just took the test.
<em><u>Question:</u></em>
A machine made 2 2/6 pencils in 3 3/4 minutes. How many pencils would the machine have made after 9 minutes?
<em><u>Answer:</u></em>
pencils is made after 9 minutes
<em><u>Solution:</u></em>
Given that,
A machine made 2 2/6 pencils in 3 3/4 minutes
Which means,
Let "x" be the number of pencils made in 9 minutes
Therefore,
This forms a proportion and we can solve by cross multiplying
Thus, pencils is made after 9 minutes
