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This quiz tests the work covered in the lecture on Functions of Two Variables and corresponds to Section 12.1 of the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum et al.).
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Question 1

Consider the function described in the table below.
Which of the following is the value of the function

		1	2	3	4	5
	1	3.14	12.57	28.27	50.27	78.54
	2	6.28	25.13	56.55	100.53	157.08
	3	9.42	37.7	84.82	150.8	235.62
	4	12.57	50.27	113.1	201.06	314.16
	5	15.71	62.83	141.37	251.33	392.7

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, this is .

Not correct. Choice (b) is false.

Try again, this is .

Not correct. Choice (c) is false.

Try again, this is .

Your answer is correct.

This is the value in from the row labelled 3 and column labelled 4.

Question 2

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, you may not have noticed that -(-2)=2.

Your answer is correct.

Not correct. Choice (c) is false.

Try again, this is .

Not correct. Choice (d) is false.

Try again, remember the square of a negative number is a positive number.

Question 3

a)				b)
c)				d)

 

Your answer is correct.

This plane allows all possible combinations of and .

Not correct. Choice (b) is false.

Try again, this is the -plane.

Not correct. Choice (c) is false.

Try again, this is the -plane.

Not correct. Choice (d) is false.

Try again, the -plane takes all possible values of and .

Question 4

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, remember the square of a negative number is a positive number.

Your answer is correct.

	=
	=

Not correct. Choice (c) is false.

Try again, note that 3 - (-2)≠1.

Not correct. Choice (d) is false.

Try again, remember the square of a negative number is a positive number.