Answer:
52
Step-by-step explanation:
f(6)= (8 × 6) + 4
= 48 + 4
= 52
Answer:
a) The 4th degree , 5th degree and sixth degree polynomials



b)The nth degree Taylor polynomial for f(x) centered at x = 0, in expanded form.

Step-by-step explanation:
Given the polynomial function f(x) = log(1+x) …...(1) centered at x=0
f(x) = log(1+x) ……(1)
using formula 
Differentiating Equation(1) with respective to 'x' we get

….(2)
At x= 0

using formula 
Again Differentiating Equation(2) with respective to 'x' we get

….(3)
At x=0

Again Differentiating Equation(3) with respective to 'x' we get

….(4)
At x=0


Again Differentiating Equation(4) with respective to 'x' we get

....(5)


Again Differentiating Equation(5) with respective to 'x' we get

.....(6)
At x=0

Again Differentiating Equation(6) with respective to 'x' we get


and so on...
The nth term is

Step :-2
Taylors theorem expansion of f(x) is

At x=a =0

Substitute all values , we get

On simplification we get

<h2>
Answer: slope = - ¹³/₁₇
</h2>
Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>