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    Mathematics
  3. Study Set
    Calculus Concepts and Contexts
  4. Exam
    Exam 4: Extension C: Applications of Differentiation
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Question 1

Question 1

Multiple Choice

Given Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
(a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of


A) (a) Increasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  , decreasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
(b) Rel. max. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  ,
Rel) min. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
B) (a) Increasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  , decreasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
(b) Rel. max. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  ,
Rel) min. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
C) (a) Increasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  , decreasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
(b) Rel. max. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  ,
Rel. min. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
D) (a) Increasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  decreasing on Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  and Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.
(b) Rel. max. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.  ,
Rel. min. Given    (a) Find the intervals on which f is increasing or decreasing.  (b) Find the relative maxima and relative minima of A)  (a)  Increasing on   and   , decreasing on   (b)  Rel. max.   , Rel)  min.   B)  (a)  Increasing on   and   , decreasing on   and   (b)  Rel. max.   , Rel)  min.   C)  (a)  Increasing on   , decreasing on   and   (b)  Rel. max.   , Rel. min.   D)  (a)  Increasing on   and   decreasing on   and   (b)  Rel. max.   , Rel. min.

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