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:
(p - 8)( p+4)
Step-by-step explanation:
Answer:
3 (5) x x x x y z z all numbers are prime and all exponents are 1.
Step-by-step explanation:
First, you would start with finding the center of the trapezoid. You would multiply 1.6 by 2.4, leaving you with 3.84 sq ft for the center. Then, you subtract 1.6 from 3.2 because you want to find the area of the triangles. You would get 1.6. That means there is a triangle with a base of 1.6 feet and a height of 2.4 feet. The formula for calculating the area of a triangle is base times height divided by 2, and in this case it is 1.6 times 2.4 divided by 2. You would get 1.92, and to find the total amount of ft sq, you would add 1.92 and 3.84 to get 5.76 feet squared(don't forget to label!).
