100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
MATH 205 FINAL EXAM WINTER 2023 FOR CONCORDIA UNIVERSITY 11 MAIN HIGH SCORE ACTUAL QUESTIONS WITH CALCULATED ANSWERS $9.49   Add to cart
Quickly navigate to
Preview
  2.  
  3. Concord University
  4.  
  5. MATH 205

Exam (elaborations)

MATH 205 FINAL EXAM WINTER 2023 FOR CONCORDIA UNIVERSITY 11 MAIN HIGH SCORE ACTUAL QUESTIONS WITH CALCULATED ANSWERS

 99 views  2 purchases

MATH 205 FINAL EXAM WINTER 2023 FOR CONCORDIA UNIVERSITY 11 MAIN HIGH SCORE ACTUAL QUESTIONS WITH CALCULATED ANSWERS

Preview 1 out of 3  pages

Document information

  • April 30, 2023
  • 3
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • use the fund
  • math 205 final exam winter 2023 for concordia university 11 main high score actual questions with calculated answers
  • math 205 final exam winter 2023
  • 1 a sketch a graph of the function

Written for

All documents for this subject (1)

Seller

avatar-seller
smartzone

Reviews received

Content preview

x x 0 0 MATH 205 FINAL EXAM WINTER 2023 FOR CONCORDIA UNIVERSITY 11 MAIN HIGH SCORE ACTUAL QUESTIONS WITH CALCULATED ANSWERS 1. (a) Sketch a graph of the function: 𝑓(𝑥) = {−1 + √4 − (𝑥 − 1)2, −1 ≤ 𝑥 ≤ 1 |𝑥 − 3| − 1 , 1 ≤ 𝑥 ≤ 4 4 on the interval [-1,4] and deduce the definite integral ∫–1 𝑓(𝑥)𝑑𝑥 in terms of the signed area (do not anti-differentiate). (b-1) Use the Fundamental Theorem of Calculus to find the derivative of the function 𝐹(𝑥) = 3x sin(t) 𝑑𝑡, then determine whether F is increasing or decreasing at x=2. ∫2x 2t+2 (b-2) Given that ∫2 𝑓(𝑡)𝑑𝑡 + 𝐴 = 𝑥2 + 𝑥 , find the value of A. Hint: Use the Fundamental Theorem of Calculus. (c-1) Consider the function 𝑓(𝑥) = 4 − 𝑥2. Write in sigma notation the formula for the left Riemann sum Ln on the interval [-1,2] using n subintervals of equal 2 length, and calculate ∫–1 𝑓(𝑥)𝑑𝑥 as the limit Ln as n➜∞. (c-2) Consider the function 𝑓(𝑥) = 4 − 𝑥2. Write in sigma notation the formula for the right Riemann sum Rn on the interval [ -1,2] using n subintervals of equal length, and approximate the area enclosed by f and the x -axis on the interval [-1,2] by calculating Rn with n=6. 2. Find the antiderivative 𝐹(𝑥) of the function 𝑓(𝑥) that satisfies the given condition: (a) ∫ 9x + 3x +3 𝑑𝑥 , 𝐹(0) = 0 (b) 3 x ∫ √16–x2 𝑑𝑥 , 𝐹(4) = 0 (c) ex ∫ 4+e2x 𝑑𝑥 , 𝐹(𝑙𝑛2) = π 8 3. Evaluate the following definite integrals (Give the exact value) : (a) ∫4 𝑥2√1 + 2𝑥𝑑𝑥 (b) ∫1 𝑥 sin–1(𝑥2) 𝑑𝑥 4. Evaluate the following indefinite integrals: (a) ∫ tan3(𝑥) sec5(𝑥) 𝑑𝑥 (b) ∫ √4 − 𝑥2𝑑𝑥

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller smartzone. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $9.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75860 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$9.49  2x  sold
  • (0)
  Add to cart