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You wish to evaluate

using Simpson's 1/3 rule, using differing numbers of segments. Recall that for Simpson's 1/3, each application of the rule requires 2 segments (and 3 points).

Calculate the final integral for all valid numbers of points within the range (1,100). Create a graph that plots the final calculated integral (dependent variable) vs the number of points used in the calculation (independent variable).

Take a screenshot of your final graph and upload it below. You do not need to include a title or axes labels in this case.

Consider the following function:

There are 22 roots of this equation (where y = 0) for x = [0, 40].

Write a script that will calculate and store all roots of the equation within this domain, and then calculate the sum of all of these values. Your final answer is this sum of all the roots, given to at least 4 decimal places (i.e. if your roots were at x = [1, 2, 3, 4], your answer should be 1 + 2 + 3 + 4 = 10.0000).

Hint: you may wish to use a modified version of your false-position method function

Consider the following function:

There are 22 roots of this equation (where y = 0) for x = [0, 40].

Write a script that will calculate and store all roots of the equation within this domain, and then calculate the sum of all of these values. Your final answer is this sum of all the roots, given to at least 4 decimal places (i.e. if your roots were at x = [1, 2, 3, 4], your answer should be 1 + 2 + 3 + 4 = 10.0000).

Hint: you may wish to use a modified version of your false-position method function

You wish to evaluate

using Simpson's 1/3 rule, using differing numbers of segments. Recall that for Simpson's 1/3, each application of the rule requires 2 segments (and 3 points).

Calculate the final integral for all valid numbers of points within the range (1,100). Create a graph that plots the final calculated integral (dependent variable) vs the number of points used in the calculation (independent variable).

Take a screenshot of your final graph and upload it below. You do not need to include a title or axes labels in this case.

Copy/paste your entire code for the above questions into the textbox below.

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