Calculus 1 problems: functions, integrals, series

Click For Summary

Homework Help Overview

The discussion revolves around older calculus exam problems provided by a professor, focusing on functions, integrals, and series. The original poster seeks confirmation on their solutions without having access to the correct answers.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants suggest that the original poster should verify their answers independently. They raise questions about potential answers for the first problem and recommend testing functions against a differential equation for the second problem. The use of the Ratio Test for series convergence is also mentioned.

Discussion Status

Some guidance has been offered regarding the checking of answers and methods for approaching the problems. Multiple interpretations of the questions are being explored, particularly regarding the nature of the answers and the implications of uncertain responses.

Contextual Notes

The original poster is working without a structured homework template and is dealing with exam questions that may not have straightforward answers. There is an emphasis on the importance of demonstrating understanding rather than indicating uncertainty in responses.

BigBowler
Messages
2
Reaction score
0
Mentor note: Moved from technical section, so is missing the homework template.
Im doing some older exams that my professor has provided, but I haven't got the solutions for these. Can someone help confirm that the solutions I've arrived at are correct?

Question 2-.png

1590759947860.png

1590759959803.png

1590759970890.png
 
Last edited by a moderator:
Physics news on Phys.org
For these problems, it's probably better if you take a stab at checking them for yourself. For the first question, could the answer be B or C? For the second question, test each given function to see if it's a solution of the diff. equation. For the third and fourth questions, I would use the Ratio Test to determine the interval on which each series converges.
 
Thanks for the tips.
 
The questions are slightly more involved than True/False questions, as they really have only three reasonable answers. If you give a D response (Don't know), that's saying to the instructor that you really don't have a clue.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 54 ·
2
Replies
54
Views
16K
Replies
9
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
945
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 44 ·
2
Replies
44
Views
6K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
4
Views
2K