3 5/8 x 2 1/2 x 4 = 36 1/4
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
y = 4x−10 ; slope m = 4
Parallel has same slope so slope of new line = 4
y = 4x + b
b = y - 4x
Passes through (1, 13)
b = 13 - 4(1)
b = 13 - 4
b = 9
Equation
y = 4x + 9
Set s(t) = 0 which means it hits the ground. The formula doesn't fit the parameters given as it shows that the pitcher is standing on something 37 feet high.
<span>s(t)=-16t^2+140t+37 and has an initial velocity of 140.
Graphing or solving this, t= 9 seconds when it hits the ground.
The velocity V(t) is the derivative of s(t)
V(t) = -32t+140
V(9) = -148 ft/second which is going down
</span>
Answer:
6.3 feet
Step-by-step explanation:
Let the height of Tom be 
feet.
Let 
be height of Larry, 
be shadow height of Larry and 
be shadow height of Tom.
As per question,
As both Tom and Larry are standing next to each other,
So, the ratio of height of Tom to that of Larry will be equal to the ratio of shadow height of Tom to that of shadow height of Larry.
Now, plug in the values and solve for .
Therefore, the height of Tom is 6.3 feet.
