Answer:
Step-by-step explanation:
In the first part the given polynomial is 
, we have to divide this polynomial by (x-1) using synthetic division.
Here are the steps of synthetic division
Step 1: Set up the synthetic division table in which the coefficients are written in descending power of x.
Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
Step 3: Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. Here, a is 1(taken from divisor)
Step 4: Add the column made in step 3. Repeat these steps until the last column reached.
In the second part,
It is given that divisor polynomial is the factor of given polynomial then we have to tell the remainder which is 0 because if divisor polynomial is the factor the it will completely divide the given polynomial which gives remainder 0.
In the third part,
Given when one uses the synthetic division to divide by (x-3) then what number is used to multiply each term that is dropped down or added.
As explained the steps of synthetic division in first part
x-3=0 ⇒ x=3 which is a
In step 3, Multiply a by the value just written on the bottom row and write this value just down of the number written next of leading coefficient. So, 3 is multiplied.
As explained in Step 2: Drop down the leading coefficient i.e the coefficient of highest power of x to the bottom row.
The columns which is formed by above steps are added.
Answer:
-19c(squared) + 980c + 940c + 44943
Step-by-step explanation:
Hey! I got this answer off of someone else ages ago and i hope this is what youre looking for
We have, 200% × x = 350
or,
200
100
× x = 350
Multiplying both sides by 100 and dividing both sides by 200,
we have x = 350 ×
100
200
x = 175
If you are using a calculator, simply enter 350×100÷200, which will give you the answer.
Answer:
Step-by-step explanation:
<u>Linearization</u>
It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.
Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is
Let's find the linearization for the function
at (0,5) and (75,10)
Computing f'(x)
At x=0:
We find f(0)
Thus the linearization is
Now at x=75:
We find f(75)
Thus the linearization is
We have been given that function that models the population to be:
p(t)=7te^(-t/12)
we are required to compute for the time taken for the percentage of infected people to be maximum.
from the interval given, the maximum number will be at the point p'(t)
from the function;
p'(t)=-7/12e^(-t/12)(t-12)
equating this to zero and solving for t we get:
-7/12e^(-t/12)(t-12)=0
t=12
hence it will take a maximum of 12 days for infection to reach it's maximum percentage.
