Chapter 9.3, Problem 40E

(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.

Poiseuilles Law for Rate of Fluid Flow Poiseuilles law for the rate of flow of a fluid through a tube is a fourth-order polynomial that is also a power function: F=cR4, where F is the flow rate measured as a volume per unit time, c is a constant, and R is the radius of the tube. a. Assume that R increases by 10. Explain why F increases by 46.41. Hint: Consider 1.10 raised to the fourth power. b. What is the flow rate through a 3/4inch pipe compared with that through a 1/2inch pipe? c. Suppose that an artery supplying blood to the heart muscle see Figure 5.86 is partially blocked and is only half its normal radius. What percentage of the usual blood will flow through the partially blocked artery?

Profit The profit P, in thousands of dollars that a manufacturer makes is a function of the number N of items produced in a year, and the formula is P=0.2N2+3.6N9. a. Express using functional notation the profit at a production level of 5 items per year, and then calculate that value. b. Determine the two break-even points for this manufacturesthat is, the two production levels at which the profit is zero. c. Determine the maximum profit if the manufacturer can produce at most 20 items in a year.

Fill in the blanks. When x=a is a zero of a polynomial function f, the three statements below are true. (a) x=ais a of the polynomial equation f(x)=0. (b) is a factor of the polynomial f(x). (c) (a,0)is an of the graph of f.

The graph shows a quadratic function of the form P(t)=at2+bt+c which represents the yearly profit for a company, where P(t) is the profit in year t . (a) Is the value of a positive, negative, or zero? Explain. (b) Write an expression in terms of a and b that represents the year t when the company made the least profit. (c) The company made the same yearly profits in 2008 and 2016. Estimate the year in which the company made the least profit.

The graph below is a polynomial function in the form f(x) = (- a)(x-b)(x- c). Find suitable unique real numbers a, b, and c ribe the graph. VA 1.8 2. b. and c -inf a

graphing linear am rity of these topics will help you functions manually. The use of graphing utilities/ help you to view a clearer graph that will lead you to understand, de interpret the properties of the graph. D DNNG ED EDT Learning Task 1: Write and answer the following in your answer sheet. 1. Evaluate the following polynomials in your answer sheet. f(x) = x+-7x² + 2x - 6 a. X = 1 at b. f(x)= 10x3 + 4x - 5 at *=-3 f) = x* + 5x³ – 2x + 3 find ((2))? C. 2. Factor each polynomial completely using any method (x + 1)(x² – 5r + 6) b. (x-x – 6)(x² + 6x + 9) a. x3 +3x2 - 4x - 12 C. ADAN a line. The graph of a polynomial function is a parabola if it is a quadratic function. Remember that the graph of a polynomial function whose degree is 0 or 1 is How does the value of b in Y- bx +c affect the behavior of the line?

discrete math functions definitions

Which of the following statements are true? (select all that apply) The product of any two linear functions is a linear function. The product of any two polynomials is a linear function. The product of any two polynomials is a polynomial. Every exponential function is a polynomial. The product of any two linear functions is a polynomial.