Find the taylor polynomial t1(x) for the function f(x)=ln(x) based at b=1.

The taylor polynomial for the function (f(x)=ln(x)) based at b=1 is (f(x) = x-1) and this can be determined by using the Taylor first degree approximation formula.

Given :

f(x) = ln(x)

The following steps can be used n order to determine the Taylor polynomial:

Step 1 - The Taylor approximation is given by:

Step 2 - Now, differentiate the given function f(x) = ln(x).

Step 3 - Now, substitute the value of (x = 1) in the above expression.

Step 3 - Now, the first degree Taylor approximation is given by:

Step 4 - Substitute the values of the known terms in the above expression.

Step 5 - Simplify the above expression.

f(x) = ln(1) + (x - 1)

f(x) = x - 1

So, the taylor polynomial for the function (f(x)=ln(x)) based at b=1 is (f(x) = x-1).

For more information, refer to the link given below:

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: i could not see part the question so ill explain how to get the answer

step-by-step explanation: for instance the distance she travele d is 10 and she traveled the same amout each mile so do 10 divided by how many miles she drove each time and you ge your answer.