What is 67.54 in standard form
2 answers:
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Answer:
Volume of rectangular prism = 10/9 inch³
Step-by-step explanation:
Given:
Size of each cube = 1/3 inch
Find:
Volume of rectangular prism
Computation:
Length of rectangular prism = 2 x [1/3]
Length of rectangular prism = 2/3 inch
Width of rectangular prism = 3 x [1/3]
Width of rectangular prism = 3/3
Width of rectangular prism = 1 inch
Height of rectangular prism = 5 x [1/3]
Height of rectangular prism = 5/3 inch
Volume of rectangular prism = Length x Width X Height
Volume of rectangular prism = [2/3] x [1] x [5/3]
Volume of rectangular prism = 10/9 inch³
Consider the function 
, which has derivative 
.
The linear approximation of
for some value 
within a neighborhood of 
is given by
Let
. Then 
can be estimated to be
![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since
for 
, it follows that must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function . This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
The linear approximation of
Let
Since
Indeed, the actual value is closer to the number 3.999374902...