When you find the difference to compare two different quantities, it shows what is missing from one that is in the other. for example if you compare 4 and 8 by subtracting 4 from 8, then you know that 8 is 4 more than 4.
Answer:
6
Step-by-step explanation:
Use the slope formula:
Picking x = 2 and x = 4 as my two points (since the interval is 2 ≤ x ≤ 4), we get:
So, the BEST estimate of the average rate of change for the function given in the table is 6.
Answer:
y^-1 = (x + 4)/5
Step-by-step explanation:
To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:
→ y = 5x - 4
→ x = 5y - 4
Now, solving for 'y':
→ x = 5y - 4
→ x + 4 = 5y
→ y = (x + 4)/5
therefore, the inverse equation is: y^-1 = (x + 4)/5
A linear approximation to the error in volume can be written as
... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h
For V=(π/4)·d²·h, this is
... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h
Using ∆d = 0.05d and ∆h = 0.05h, this becomes
... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V
The nominal volume is
... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³
Then the maximum error in volume is
... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³
_____
Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.
:) There's no picture but I can solve this for you :)
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