Arc6avenClifere Arc6avenClifere

23-02-2017
Mathematics

contestada

Determine coefficients a and b such that p(x)=x2 ax b satisfies p(1)=5 and p′(1)=11.

Respuesta :

LammettHash LammettHash

23-02-2017

[tex]p(x)=x^2+ax+b[/tex]
[tex]p'(x)=2x+a[/tex]

Given that [tex]p'(1)=11[/tex], you have

[tex]p'(1)=2+a=11\implies a=9[/tex]

and given that [tex]p(1)=5[/tex], you have

[tex]p(1)=1+9+b=5\implies b=-5[/tex]

So you get

[tex]p(x)=x^2+9x-5[/tex]

Answer Link

Otras preguntas

A data set has a median of 43, and four of the numbers in the data set are less than median The data set contains a totalof n numbers.If n is even, and none of

A point is on a circle if the distance from the center of the circle to the point is equal to the area. circumference. radius. diameter.

Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how many different combinations of six

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, h

An infant acetaminophen suspension contains 80mg/0.80mL. The recommended dose is 15mg/kg body weight. How many mL of this suspension should be given to an infan

1. "The precepts of the law are these: to live honestly, to injure no one, and to give every man his due. The study of law consists of two branches, law public

What treaty led to US-Soviet disarmament in Europe? A. Intermediate-Range Nuclear Treaty B. Long-Range Nuclear Treaty C. Short-Range Nuclear Treaty D. Uni

Select all that apply. Nomadic people received income from _____. A. selling livestock B. making handicrafts, such as pottery C. raiding other herds D.

Which of the following mountain ranges found in the United States is heavily eroded? a. Rocky Mountains b. Sierra Nevada range c. Cascade Mountains d. App

In August 2005, Hurricane Katrina caused significant damage in several states along the Gulf Coast, including Alabama, Mississippi, and Louisiana. Thousands of