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:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:

#We make h the subject of the formula the solve for it:

#Substitute to solve for height:

Hence, the prism has a height of 6 ft.
Answer:
9,000 x 40 = 360,000
Step-by-step explanation:
9,000 x 40 = 360,000
A one nonzero digit is a number that has only one number that's not 0. For example, 300 has only one nonzero digit.
Hope this helps!
Answer:
22
Step-by-step explanation:
f (5)=3 (5)+7
f (5)=15+7
f (5)=22
The area model you can use is D , cs 70 +3 & 30+9