blackwelldavid blackwelldavid

26-01-2015
Mathematics

Answered

\(f(x)=4 x^{3}+a x^{2} +bx+c\) and there is a local min at x=-1 and an inflection point at x=-2. Find the values of a and b

Verified Answer :

konrad509 konrad509

26-01-2015

\(f'(x)=12x^2+2ax+b\\ 0=12\cdot(-1)^2+2a\cdot(-1)+b\\ 0=12-2a+b\\\\ f''(x)=24x+2a\\ 0=24\cdot(-2)+2a\\ 2a=48\\ a=24\\\\ 0=12-48+b\\ b=36\\\\ \boxed{a=24,b=36}\)

Answer Link

Related Questions

what factor affects the luminosity of a star

who crossed the alps to invade rome from the north during the second punic war A Alexander B Hannibal C Octavian D Xerxes

after saving 27 of his paycheck for the month mr donovan has 1335 left to spend Mrs spencer saves 38 of her paycheck both of them save the same amount of money

At a wholesale club you can buy packages of 6 bottles of shampoo for 1410 A drugstore is offering the same shampoo this week for 450 for 2 bottles Which is the

what is a claim in a paragraph

If a monopolist or a perfectly competitive firm is producing at a breakeven point then i average revenue is equal to average variable cost ii average revenue is

What was René Descartes contribution to the Scientific Revolution A He used mathematics to prove that the earth revolves around the sun B He introduced the theo

What were the goals of the United States and Russia in the cold war

The people in Uzbekistan are in danger of losing their identity as the government tries to preserve Uzbek traditions A Georgian B Tajik C Jewish D Russian

Rachel is rachel is 15 time as heavy as her cousin Kayla another cousin Jonathan weights 125 times as much as Kayla list The cousins from lightest to heaviest a

Web Analytics Made Easy - Statcounter