Answer:
1. 4 categories are shown in the rows.
2. 2 categories are shown in the columns.
3. The number of 14 year olds that consider winter their favorite season is 12.
4. Total number of people polled is 82.
Step-by-step explanation:
The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.
If the given information is grouped as required, thus the answers to the questions are:
i. 4 categories are shown in the rows.
ii. 2 categories are shown in the columns.
iii. The number of 14 year olds that considers winter their favorite season is 12.
iv. Total number of people polled is 82.
Integration by parts will help here. Letting

and

, you end up with

and

. Now


For the remaining integral, setting

gives

, so

Putting everything together, you end up with
An answer to this would be y=- 1 over 3 x
The surface area is 76m square