First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].



So,

Let

. With

, we're looking for coefficients

and nodes

, with

, such that

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).
Using the quadrature, we then have

Answer:
<u>Linear:</u> "You start with $3 and save $1 each month."
<u>Quadratic:</u> "Your total savings is 3 times the number of months multiplied by itself."
<u>Exponential:</u> "You save $3 the first month, and then each month the amount triples."
Explanation: I did the work. :)
<em>PLEASE MARK BRAINLIEST!</em>
Answer:
(b) 
Step-by-step explanation:
Let E: Event of getting a 3 in the spinner.
So, the number of favorable outcomes = 11
Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}
= {13 +10 +11+16+11} = { 61}
So, the total number of outcomes = 61

So, here 
My answer would be 14 miles. I really hope this is what you need