Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 - 9x2 – 21x + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (7,00),(-0, – 1), Your answer cannot be understood or graded. More Information Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-1,7) (b) Find the local minimum and maximum values of f. local minimum value -243 local maximum value 13 (c) Find the inflection point. (x, y) = ( 3 Find the interval on which f is concave up. (Enter your answer using interval notation.) (3,0) Find the interval on which f is concave down. (Enter your answer using interval notation.) (-0,3)

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 - 9x2 – 21x + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (7,00),(-0, – 1), Your answer cannot be understood or graded. More Information Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-1,7) (b) Find the local minimum and maximum values of f. local minimum value -243 local maximum value 13 (c) Find the inflection point. (x, y) = ( 3 Find the interval on which f is concave up. (Enter your answer using interval notation.) (3,0) Find the interval on which f is concave down. (Enter your answer using interval notation.) (-0,3)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.4: Quadratic Functions; Translation And Reflection

Problem 51E: LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of...

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LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.