Exam 7: Ingredients of Multivariable Change: Models, Graphs, Rates
Exam 1: Ingredients of Change: Functions an Limits50 Questions
Exam 2: Describing Change: Rates47 Questions
Exam 3: Determining Change: Derivatives48 Questions
Exam 4: Analyzing Change: Applications of Derivatives50 Questions
Exam 5: Accumulating Change: Limits of Sums and the Definite Integral50 Questions
Exam 6: Analyzing Accumulated Change: Integrals in Action51 Questions
Exam 7: Ingredients of Multivariable Change: Models, Graphs, Rates46 Questions
Exam 8: Analyzing Multivariable Change: Optimization50 Questions
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The contour graph
and its associated three-dimensional graph are given below. Determine (if possible) if the change in
will be greater when
shifts to
or when
shifts to









(Multiple Choice)
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The contour graph
and its associated three-dimensional graph are given below. At
will
decrease more quickly as x decreases or as y decreases? Justify your answer.






(Multiple Choice)
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Consider the point
on the contour graph of
given below. When x is decreased by 1, by what amount must y change in order to remain on the same contour curve? 



(Multiple Choice)
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The contour graph
and its associated three-dimensional graph are given below. At
does
increase when x increases or when x decreases? Justify your answer.






(Multiple Choice)
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