Question: 2-Find values for a, b. c, and at such that the cubic polynomial P(x) = (13:3 + bx2 + cx + d is decreasing everywhere.

2-Find values for a, b. c, and at such that the

2-Find values for a, b. c, and at such that the cubic polynomial P(x) = (13:3 + bx2 + cx + d is decreasing everywhere. Do not choose zero for any of a, b, or c. Then give an analytical proof that the function you have chosen is always decreasing. (You may play around with variables on Desmos to get the function, but your proof should not rely on the graph.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

4.1 Increasing and Decreasing Functions 1. Find the intervals of increase and decrease for the function represented graphically to the right. 2 2. Find the intervals of increase and decrease. a) f (x...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Q1. Find the vertex and axis of symmetry of the graph of the function f(x) = 3x 2 + 36x. a. (-6, -108); x = -6 b. (-6, 0); x = -6 c. (6, -108); x =6 d. (6, 0); x = 6 Q2. The graph of a function f is...

Math 128A, Spring 2016 Problem Set 07 Question 1 (a) Find an exact formula for the cubic polynomial P3 (x) = x3 + such that 1 1 P3 (x)q(x)dx = 0 for any quadratic polynomial q. (b) Find exact...

PLS ANSWER CORRECTLY Date Ha Unit 5: Polynomial Functions Assignment Booklet 5 6. Each year, a baseball team sells boxes of chocolates as a fundraiser to lower the cost of team fees. The price of the...

TheT . . TEXAS INSTRUMENTS amula-with 3 essential "in protective skin barrier. Gentle on skin rritating Moistur STAY hit 5: Polynomial Functions Vie Assignment Booklet 5 Lydaso 8. Patterns and Games:...

2 1. (4 pts) Solve the inequality x 7x and write the solution set in interval notation. (no explanation required) A. B. C. D. 2. (4 pts) Solve 1. ______ [7, ) (-, 0] [7, ) (-, 7] [0, ) [0, 7] x +3 x...

4:22 Page 6 of 8 Vista Virtual School - A3 7. The path of a baseball after it is hit is modelled by the equation h = -4.9812 + 10.751 +1.4, where h is the height, in metres, of the ball and t is the...

Starter Code: import java.util.Scanner; public class CubicZeroFinder { public static void main(String[] args) { Scanner sc = new Scanner(System.in); // Read in a, b, c, and d for our // equation ax^3...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Some events change aggregate supply from SAS0 to SAS1 Describe two events that could have created this change in aggregate supply. What is the equilibrium after aggregate supply changed? If potential...

Why don't trees freeze and burst in the winter like cold pipes?

Find d d x ( 8 x 2 3 - 3 4 x 2 ) . d d x ( 8 x 2 3 - 3 4 x 2 ) =

Mr. and Mrs. D had the following income items: Mr. Ds salary $52,500 Mrs. Ds Schedule C net profit 41,800 Interest income .. 1,300 Mrs. Ds self-employment tax was $5,906. The couple had $8,070...

A survey question for a sample of 150 individuals yielded 75 Yes responses, 55 No responses, and 20 No Opinions. a. What is the point estimate of the proportion in the population who respond Yes? b....

The following data are from a simple random sample. 5 8 10 7 10 14 a. What is the point estimate of the population mean? b. What is the point estimate of the population standard deviation?

Wilma Company must decide whether to make or buy some of its components. The costs of producing 60,000 switches for its generators are as follows. Instead of making the switches at an average cost of...

Roland Corporation uses special strapping equipment in its packaging business. The equipment was purchased in January 2016 for $10 million and had an estimated useful life of eight years with no...

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

What does cost accounting deal with? 36

How may costs be classified? 58

Why is costing by departments an aid to management? 22