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

Biology
1.2K views

Factors that must be considered during the assessment process include O Identification labels emergency contacts...

Medical Sciences
1.2K views

If only inhibitory postsynaptic potential occurs without excitatory postsynaptic potential at all, what happens to spike timing dependent...

Chemistry
1.2K views

In an experiment reported in the scientific literature, male cockroaches were made to run at different...

Psychology
1.2K views

I'M SORRY BUT I COULD NOT FIND ENGLISH ON THE SUBJECT. THIS IS FOR ENGLISH NOT...

Basic Math
1.2K views

What is the best statistical analysis to use when determining if verbal reinforcement affects response rates?

Biology
1.2K views

What is used to group viruses into families O Capsid layer types O Presence of...

Physics
1.2K views

99 A boy peddles a stationary bicycle the pedals f the bicycle are attached to...

Geometry
1.2K views

An equilateral triangle was rotated to create this figure What is true about the axis...

Accounting
1.2K views

(c) Determine the ending inventory using the LIFO cost assumption if...

Accounting
1.2K views

What is the first, second, fifth, and last years depreciation for a $4,953,000 office building...

Accounting
1.2K views

method is not on occeptoble method under generally actepted sctounting principles (CUP). method satisfies the...

Finance
1.2K views

1. A start-up Company X currently has all equity structure. The total expected annual cash...