Please Help Lab Me where you can, I will rate regardless. Thank you in advance.

You and your fianc are in the planning stages of your upcoming nuptials and have a little money to splurge. Because you are both lovers of wine, you think it would be a unique idea to gift a beautifully wrapped bottle of wine for each family (or couple) that will attend your wedding.

Measurements of the wine bottle were found by using a caliper and determining the diameter of the bottle, starting at the base of the bottle and then every inch (above the base) thereafter. Here is a table of the diameters found:

Distance from the Base (in)	0	1	2	3	4	5	6	7	8	9	10
Diameter (in)	2.25	2.55	2.50	2.55	2.55	2.25	2.00	1.75	1.50	1.00	1.00

Please Show work and state your answer in cubic inches as well as ounces.

(Note: 1 in.³ = 0.55424 fluid ounce)

This is where I got right now, just looking for help to carry me along, Calculus II Lab6&8. Please let me know specifically what, if any, extra information is needed.

Part 1. Approximate the VOLUME of the bottle, using:

Question 1a: The regression sin function y = 1.7 + 0.89 sin (0.35 x + 0.69)

Question 1b: The cylindrical shells methods.

Part 2. Suppose we want to wrap the surface of this wine bottle with a beautiful, decorative sleeve. Approximate the AREA OF THE SURFACE OF REVOLUTION of the bottle using:

Question 2a: The regression sin function y = 1.7 + 0.89 sin (0.35 x + 0.69)

Question 2b: The Simpson's Rule methods with both Simpsons Rule and Calculator Approximation.

Part 3. You are wanting to calculate the cost of supplying a wine bottle for each family that attends your upcoming nuptials.

Question 3a: Decide how many families you are inviting to your wedding.

Question 3b: You found that your favorite wine costs 51 cents/oz. Luckily, you know a friend that can fill and cork your wine bottles for you at no additional cost. Based on the volume that you calculated in part 2 of this lab, the cost of your favorite wine, and the number of families that are coming to your wedding, how much would it cost to purchase the amount of wine needed to fill all of your beautiful wine bottles?

Question 3c: What about the cost of wrapping them in your decorative rose-gold foiled sleeves? You found that a company is charging 5 cents per sq. inch of surface area that you are needing to wrap with this paper. Of course, you want to make sure that each of your guest's bottle is wrapped. Based on your calculation in part 3 (to wrap one bottle), and the total amount of square inches needed to wrap all of your bottles, how much will it cost to wrap all of the beautiful bottles for your wedding?

Question 3d: How much (in total) will it cost to supply a full bottle of wrapped wine to your wedding guests?

Part 4. Oops! You forgot to take into consideration the thickness of the glass of the wine bottles, and you have discovered that your volume calculation in part 2 is an overestimate by about 2.2 ounces per each wine bottle. You have already purchased the wine...

Question 4a: How much excess (in total ounces) did you purchase?

Question 4b: How much money could you have saved if you had caught this oversight beforehand?

Thank you again for helping.

hal (1,2} E 5c a= Scatterplot Y: B1:B12 28 Statistics MeanX:5 Mean Y1.9909 Sx 3.3166 Sy 0.5995 0.8852 lo -0.8388 Sxx 110 Syy 3.5941 Sxy 176 2.6 9999 A B ENT 1 Distance Diam 2 0 2.25 3 1 2.55 4 2 2.5 5 3 2.55 6 4 2.55 7 5 2.25 8 6 2 9 7 1.75 10 8 1.5 11 9 1 12 10 1 13 14 2.4 2.2 2 RS SSE 0.9852 0.0531 18 16 1.4 15 16 17 1.2 1 - 1 0 1 2 3 4 5 6 7 8 9 10 11 X: A1:A12 18 19 20 21 22 23 24 25 Regression Model y = 1.7 +0.89 sin(0.35 x +0.69) Sin Symbolic Evaluation: x = y = hal (1,2} E 5c a= Scatterplot Y: B1:B12 28 Statistics MeanX:5 Mean Y1.9909 Sx 3.3166 Sy 0.5995 0.8852 lo -0.8388 Sxx 110 Syy 3.5941 Sxy 176 2.6 9999 A B ENT 1 Distance Diam 2 0 2.25 3 1 2.55 4 2 2.5 5 3 2.55 6 4 2.55 7 5 2.25 8 6 2 9 7 1.75 10 8 1.5 11 9 1 12 10 1 13 14 2.4 2.2 2 RS SSE 0.9852 0.0531 18 16 1.4 15 16 17 1.2 1 - 1 0 1 2 3 4 5 6 7 8 9 10 11 X: A1:A12 18 19 20 21 22 23 24 25 Regression Model y = 1.7 +0.89 sin(0.35 x +0.69) Sin Symbolic Evaluation: x = y =