Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at (1, 3) an inflection point with inflectional tangent 4x - y = 1.

Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at (1, 3) an inflection point with inflectional tangent 4x - y = 1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

differentials: critical points
please answer #8 #9 #10 with solutions thank you!

8. Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d, pass through (-1, -1) and have at (1, 3) an inflection point with inflectional tangent 4x - y = 1. 9. Find a cubic function y = ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local minimum value of 0 at 1. 10. Find a cubic function y = ax³ + bx² +cx+d that has a local maximum at (4, 0) and pass through (1, -1).
Transcribed Image Text:8. Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d, pass through (-1, -1) and have at (1, 3) an inflection point with inflectional tangent 4x - y = 1. 9. Find a cubic function y = ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local minimum value of 0 at 1. 10. Find a cubic function y = ax³ + bx² +cx+d that has a local maximum at (4, 0) and pass through (1, -1).
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS