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...
Answer:
Your answer is 9x+2
Step-by-step explanation:
All you have to do is add like terms, for example, all of them that have X you can add them up,
Answer: What percentage is 15 out of 75?
20
Percentage Calculator: 15 is what percent of 75? = 20.
No because 77 is greater than the lowest number
Answer:
904.9 in^3
Step-by-step explanation:
Given data
We are told that the ball is 12 inches in diameter
R= diamter/2= 12/2= 6 in
The volume of a sphere is given as
V= 4/3πr^3
substitute
V= 4/3*3.142*6^3
V= 4/3*3.142*216
V=2714.688/3
V=904.9 in^3
Hence the volume is 904.9 in^3