What values of a and b make (x) = x 3 + ax 2 + bx have

Question:

What values of a and b make ƒ(x) = x³ + ax² + bx have

a. A local maximum at x = -1 and a local minimum at x = 3?

b. A local minimum at x = 4 and a point of inflection at x = 1?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: Apr 19, 2023 01:12 PM

See More Questions

For what values of a and b does f(x) = a(x b ln x) have a local minimum at the point (2, 5)? Figure 4.16 shows a graph of f(x) with a = 1 and b = 1. 3 2 1 f(x) = x-lnx 1 2 Figure 4.16 3 X
A local ice cream parlor wants to determine whether the temperature has an effect on its business. The following table contains data on the temperature at 7PM on 10 rain-free weekend days during the...
(a) If the function f(x) = x3 + ax2 + bx has the local minimum value -2/3 3 at 1/3, what are the values of a and b? (b) Which of the tangent lines to the curve in part (a) has the smallest slope?
Your independent film production company owns the rights to a script for a rom-com movie. They estimate that the script would cost $30 million to make into a movie, which would have a 35% chance of...
In which months of the calendar year do U.S. gasoline service stations typically have their lowest retail sales levels? In which months of the calendar year do the service stations typically have...
What guidelines are available for interpreting the factors?
A study in one state compared the traffic fatality rates (number of fatalities per miles driven) on highways with 55, 65, and 75 miles per hour speed limits. They found that highways with a 75 mph...
A commercial fisherman notices the following relationship between hours spent fishing and the quantity of fish caught: Hours Quantity of Fish (in pounds) 0 hours ......0 lb 1.........10 2.........18...
Write a python program that drawing the following fill shape. Python Turtle Graphics
Caratini Company sells custom-made windows to Bryant Inc. for a new office building. The sale price for the windows is $275,000. Caratini requires customers to provide a down payment of 15% before it...
a. Find the open intervals on which the function is increasing and decreasing. b. Identify the functions local and absolute extreme values, if any, saying where they occur. f(x) x - 3 x 2' x = 2
Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. y = x 2/3 (x - 5)
Mort is the sole owner of rental real estate that produces a net loss of $18,000 in 2015 and $20,000 in 2016 and income of $6,000 in 2017. His adjusted gross income, before considering the rental...
What is the power done by gravity to make a ball of mass 0 . 6 1 kg rule from 3 . 5 m above the ground to the bottom along the curve path if it takes 4 . 4 9 seconds to do?
An object is thrown between two tall buildings 180 m from each other. The object is thrown horizontally from a window 55 m above ground from one building through a window 10.9 m above ground in the...
How can businesses successfully manage their customer relationship? explain
Stephan joined as a clerk in Violetcoast Corp. Over a period of one year, Stephan was moved from one department to another, and he got the opportunity to do a variety of jobs, such as data entry and...
How much potential energy due to gravity a person have if they were standing on top of a building that is 5 2 . 9 M high assume that they have a mass of 9 4 . 5 Kg?
If your professor decided to give all of his students the highest grade in the class, would that affect your classmates incentives to study?
What recommendations would you make to Big Four firms to help them (1) avoid confrontations with governmental officials in an authoritarian society and (2) deal effectively with such confrontations...
Solve each equation on the interval 0 2. 1 + 3cos + cos(2) = 0
Solve each equation on the interval 0 2. sin - cos = 1
Solve each equation on the interval 0 2. sin - 3cos = 2
Determine the x- and y-coordinates of the centroid of the shaded area. y 8" 4" 5" K6" Answers: (X,Y) = (i x 9" ) in.
2. A combination of inverters is shown in Figure 3-77. If a HIGH is applied to point A, determine the logic levels at points B through F. B Figure 3-77 E F
What are the answers to the following problem on the reflection coefficient off of a mass-spring system? (2) Reflection Coefficient off of a Mass-Spring System: Consider a mass m connected to a fixed...

What values of a and b make (x) = x 3 + ax 2 + bx have

Question:

Step by Step Answer:

a For x x3 ax2 bx to have a local maximum at x 1 and a local minimum at x 3 the first derivative of ...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions