31-01-2015
Mathematics

Answered

the curve y=ax³ +bx² -x+5 has a point of inflexion at (1,-2). find the values of a and b

Answer :

konrad509 konrad509

31-01-2015

[tex]y=ax^3+bx^2-x+5\\ y'=3ax^2+2bx-1\\ y''=6ax+2b\\\\ 0=6a\cdot1+2b\\ 6a+2b=0\\ 3a+b=0\\ b=-3a\\\\ -2=a\cdot1^3-3a\cdot1^2-1+5\\ -2=a-3a+4\\ -2a=-6\\ a=3\\\\b=-3\cdot3\\ b=-9[/tex]

Answer Link

Other Questions

the zionist movement called for the creation of a jewish homeland in A) Saudi Arabia B) Egypt C)Afghanistan D) Palestine

15.Identify the coordinates of point C after a translation with rule (x + 3, y 2). C' = (5, 7) C' = (6, 6) C' = (2, 0) C' = (0, 2)

who led the solidarity movement in Poland

How many different combinations are possible if each lock contains the numbers 0 to 39, and each combination contains three distinct numbers?(Combinations like

The product of blank and four is equal to the product of eight & twelve

erratic : irregular :: A. ambient : cloudy B. telepathic : thoughtful C. deviant : abnormal D. transitive : past

which 4 european countries had huge empires around the world

at what speed do electromagnetic waves travel?

Which answer corrects the error in capitalization? Which commander in world War II later became president? A. war B. Commander C. World D. Became

How did Manifest Destiny influence sectionalism?