math hw

question_12.docx

QUESTION 1

· If h(x) = (x - 4)5, the point at x = 0 is?  

·	·	· A critical point only
·	·	· An inflection point only
·	·	· A critical point and an inflection point
·	·	· Neither a critical point or an inflection point

QUESTION 2

· If f(x) = (x/8) + (8/x), what is f "(2)?  

QUESTION 3

· On what interval(s) is the function g(x) = 2x3 - 24x2 + 60 concave down?  

QUESTION 4

· If f(x) = x5 - 20x2 +100, there will be a relative minimum at?  

QUESTION 5

· If f(x) = 3x4 - 8x3 + 6x2 + 24, then the point at x = 1 is a?  

·	·	· Relative Maximum
·	·	· Relative Minimum
·	·	· Both a Relative Maximum and a Relative Minimum
·	·	· A Critical Point but not a Relative Maximum or a Relative Minimum
·	·	· Not a Critical Point

QUESTION 6

· On what interval(s) is the function f(x) = 3x2 -18x + 7 increasing?  

QUESTION 7

· If n(x) = 3x - 54, there will be a relative maximum at?  

QUESTION 8

· For the function g(t) = tet, there is an inflection point at?  

QUESTION 9

· Suppose that after t seconds the position of an object (in feet from its  starting point) is given by: 

· S(t) = 0.5t4 + t2 + 10t 

· What is the acceleration of the object after 2 seconds? 

QUESTION 10

· If f(x) = 4 / (x2 + 1), at what value of x does the function have a critical point?  