Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. p x et p be a quadratic polynomial such that p 0 1

P x et P be a quadratic polynomial such that P 0 1 and x...

60.1K

Verified Solution

Question

Calculus

image

P x et P be a quadratic polynomial such that P 0 1 and x 2x 1 i e a quotient of two polynomials Find the value of the derivative P 0 Justify your answer Hints da is a rational function Write P x ax bx c Then P 0 and P 0 can be expressed in terms of the coefficients a b and c of P What are they Decompose P x x 2x 1 into partial fractions with some unknown constants for the nu merators and see what is the general form of an antiderivative of each of them These antiderivatives are supposed to sum up to a rational function themselves which means that no logarithmic terms are allowed This implies that two of the five unknown constants in the partial fraction decomposition must be zero Finally convert the above partial fraction decomposition into a polynomial equation and compare the coefficients at the corresponding powers x on both sides to find the answer

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

OceanGate sells external hard drives for $288 each. Its total fixed costs are $45 million, and...

Finance
Q

Place the following scenario in order of how it would occur... 1 to 7 S.typhimurium cells are...

Biology
Q

A pension fund manager is considering three mutual funds. The first is a stock fund, the...

Finance
Q

A vertical axis cylinder 0.075m2 in cross sectional area is open to the atmosphere at one...

Mechanical Engineering
Q

Direct Materials Purchases Budget Pasadena Candle Inc budgeted production of 785 000 candles for January...

Calculus
Q

Solve 17x 2 1 4x over the set of complex numbers

Algebra
Q

SecureWorks, Inc., is a small computer security contractor that provides computer security analysis,...

Accounting
Q

The controller at Bethune Chemicals asks for your help in sorting out some...

Accounting
Q

Francines Fast Deliveries, Inc. (FFD) was organized in December of 2011. It had limited activity...

Accounting
Q

The Miracle Company had 31,000 units in process on December 31, 2016 which was 80%...

Accounting
Q

Y is a general partner in the XYZ Partnership. For the current calendar year, Ys...

Accounting
Q

Eastern Travel Services, Inc. Comparative Balance Sheets December 31, 2017 and 2016 Assets 2017 2016...

Accounting