1. Givena. Sign of Leading Coefficient:b. Degree:c. Maximum Number of Turning Points:d. Maximum Number of Zeros:f(x)=(-9+x2)(-2x3+5x2+3x), state the following:e. End Behaviour: As x→∞, y→f. End Behaviour: As x→-∞, y→

The given function .The aim is to find the sign of the leading coefficient, degree, maximum number…

Answered: 1. Given a. Sign of Leading…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Given a function f(x) with the function values ƒ(−6) = −24, ƒ(−2) = −20, ƒ(−1) = 0, and ƒ(4) = 64, which value of x is a factor of the function? A. x = -6 4. 5. The function y = 4(−x + 9)¹(2x − 3)²(x + 6) changes signs at A. x = -9 B. x = 9 C. x = A. B. x = -2 C. x = 3 6. Which list best represents the values of x that make the following equation true: 3x³ + 6x² + 11x + 6 = 0 ? A. +1, +2, +3, +6 B. ±1,±2, ±3,±6,±½‚±z C. +1, +2, +², +², +³ D. 0, 11, 12, 13, +++ 3x-1 7. 6x4 - 2x³ - 21x² + 7x +8 is divided by 3x – 1 to give a quotient of 2x³ 7x and a remainder of 8. Which statement is true? 6x4-2x³-21x² +7x+8 = 2x³ - 7x + C. x = -1 8 3x-1 8. What is the solution to − (x − 3)(x + 8) < 0 ? - A. x € (-∞, -3) U (8,00) 3 2 B. x € (-∞, -8) U (3,00) D. x = 4 2 D. x = -6 C. x € (-∞, -8] U [3,00⁰) B. 6x4 - 2x³ - 21x² + 7x+8 = (3x − 1)(2x³ – 7x) - 8 D. All of these statements are true D. x € (-8,3)
Julie has tracked Bouncy Ball company profits for severalyears, and her analysis has determined that the function,P(x) = –3x3 + 138x2 + 588x + 600, can be used to determineprofits, in dollars, every year for x years after 1980. 1) Find the y–intercept for the profit function and give an interpretation. 2) Determine the end behavior of the profit function.a) What is the behavior at the left end? Is this behavior relevant tocompany profits? If so, what does it say about company profits asx → – ∞? b) What is the behavior at the right end? Is this behavior relevant tocompany profits? If so, what does it say about company profits asx → ∞? 3) We will use the Rational Zeros Theorem to determine possible rational zerosof P(x). First, factor out the common factor of -3. 4) Use synthetic division to find at least one rational zero of P(x). Chapter 5: Polynomial Functions 69Profitable Venture Page 2 of 25) Use the zero found in item 4) along with the quotient to completely factorP(x). 6) What are…
Julia has tracked a Bouncy Ball company profits for several years, and her analysis has determined that the function, P(x) = -3x3 +138x2 +588x +600, can be used to determine profits, in dollars, every year for x years after 1980 1) Find the y- intercept for the profit function and give an interpretation.
= The total sales of the fertilizer plant are R = −2Q3 + 12Q2 + 72Q, R total sales (in billions), Q = fertilizer quantity (in tons). In order to maximize total sales (assume all of its products are sold), how many tons should the firm produce for maximum sales and what is the maximum total sales value? Select one: O a. 6 ton and 432 billions O b. 12 ton and 735 billions O c. 5 ton and 327 billions O d. 15 ton and 892 billions

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1. Given a. Sign of Leading Coefficient: b. Degree: c. Maximum Number of Turning Points: d. Maximum Number of Zeros: e. End Behaviour: As x→∞, y→ f(x)=(-9+x2)(-2x3+5x2+3x), state the following: f. End Behaviour: As x→-∞, y→