is a classic approximation, true for small x.
The next term in the polynomial expansion will be 
where k is a positive number. So our estimate 1-x is definitely an underestimate on both sides of x=0.
Since for negative xs the exponential rises exponentially and the line only linearly, the exponential exceeds the line for all negative x. For positive x, the line quickly goes negative while the exponential is always positive.
So, there's no interval for which our approximation is an overestimate.
It can be used in statics for the major of Mechanical Engineering. You can find the total amount of weight on beams by forces.
It is given in this item that the subject of interest has to pay the single coverage for the medical insurance and is given to be equal to $322.77.
Let x be the number of hours that a person should work in order to pay for the cost of the medical insurance. The value of this variable is calculated by dividing the total insurance cost by the amount that a person earns every hour.
x = $322.77 / ($10/hr)
x = 32.277 hours
Therefore, the number of hours that a person should work is equal to 32.277 which is approximately equal to 32 hours and 17 minutes.
Answer:
C. T is not one-to-one because the standard matrix A has a free variable.
Step-by-step explanation:
Given
Required
Determine if it is linear or onto
Represent the above as a matrix.
![T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]](https://tex.z-dn.net/?f=T%28x_1%2Cx_2%2Cx_3%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-5%264%5C%5C0%261%26-6%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx_1%26x_2%26x_3%5Cend%7Barray%7D%5Cright%5D)
From the above matrix, we observe that the matrix does not have a pivot in every column.
This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one
