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Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkid -488008831&questionld; 1&flushed; false&icld-50602288ce; Li M1441 Summer B 2018 Homework: Section 4.4 Score: 0 of 1 pt 4.4.43 8 of 23 (6 complete) Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function. 7x Type an ordered pair. Type an exact answer, using radicals as needed Uso a comma to separate answers as needed.) OB. There are no absolute maximum points Identify the coordinates of the absolute minimum points Select the corroct choice below and, i necessary, ill in the answer box to complete your choice The absolute minimum point(s) is/are 4 ra (Type an ordered pair. Type an exact B. There are no absolute minimum points, t answer, using radicals as needed Use a comma to separate answers as needed) s. Select the correct choice below and, if necessary, illin the answer box to complete your choice. Find the inflection points. Select the con O A. The inflection pointís) is/are O B. There are no inflection points (Type an ordered pair. Type an exact answer, using radicals as needed Use a comma to seperate answers as needed) Click to select and enter your answers) and then click Check Answer remaining O Type here to search

Explanation / Answer

y=7x/(x2+16)

y '= 7(16-x2)/(x2+16)2

y''=14x(x2-48)/(x2+16)3

Inflection point, y''=0

14x(x2-48)=0

x=0 , x2-48=0

x=0,x =+-sqrt48=+-4sqrt 3

when x=0, y=7(0)/(0+16)=0

point is (0,0)

when x=-4 sqrt3, y=-28sqrt3/64=-7sqrt3/16

point is (-4 sqrt 3, -7sqrt 3/16)

and when x=4 sqrt 3, y=7sqrt3/16

Inflection points are

(-4sqrt3,-7sqrt(3)/16),(0,0),(4sqrt3,7sqrt(3)/16)

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