Calculus 1 problems: functions, integrals, series

Click For Summary
SUMMARY

This discussion focuses on solving Calculus 1 problems related to functions, integrals, and series. Participants are reviewing older exam questions provided by a professor and seeking confirmation on their solutions. Key strategies mentioned include using the Ratio Test for determining the convergence of series and testing functions against differential equations. The conversation emphasizes the importance of providing definitive answers rather than opting for uncertain responses like "Don't know."

PREREQUISITES
  • Understanding of Calculus 1 concepts, including functions and integrals.
  • Familiarity with differential equations and their solutions.
  • Knowledge of series convergence tests, specifically the Ratio Test.
  • Ability to analyze and interpret exam-style questions in calculus.
NEXT STEPS
  • Review the Ratio Test for series convergence in detail.
  • Practice solving differential equations and verifying solutions.
  • Explore advanced topics in functions and their properties.
  • Study past Calculus 1 exams to enhance problem-solving skills.
USEFUL FOR

Students enrolled in Calculus 1, educators preparing exam materials, and anyone looking to strengthen their understanding of functions, integrals, and series in calculus.

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
15K
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 44 ·
2
Replies
44
Views
6K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
4
Views
2K
Replies
22
Views
2K