In the table below, classify each highlighted value.
?
   x
        - 3
 - 2
 - 1
 0
 1
 2
 y
 -3
 0
 1
 0
 5
 4
 5
  -2
 1
 2
 1
 4
 3
 4
  -1
 0
 1
 0
 5
 4
 5
  0
 4
 5
 4
 5
 5
 7
  1
 3
 4
 3
 5
 6
 7
  2
 4
 5
 4
 5
 5
 7
?

A. a saddle point
B. a relative maximum
C. a relative minimum
D. none of these


Answer: B

Mathematics

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Write the partial fraction decomposition of the rational expression.

A.  + 
B.  + 
C.  + 
D.  + 

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Solve the problem.One television has a rectangular screen that is 9 inches by 16 inches. Another has a rectangular screen that is 6 inches by 10 inches. The size of a television set is commonly given by the length of the screen's diagonal. What is the difference of the diagonal lengths for these two sets?

A. ( + 2) in.
B.  in.
C. ( - 2) in.
D. 201 in.

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Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the area of the nth new triangle. Use math induction to prove your answer.

What will be an ideal response?

Mathematics