Answer the question.If we wish to locate the candidates for local extrema and saddle points in the interior of the domain of a function f(x,y), then how should we proceed?(i) Set the partial derivatives equal to each other.(ii) Set the partial derivatives equal to zero.(iii) Set the partial derivatives equal to the critical values.
A. Only (i) is correct.
B. Only (iii) is correct.
C. Only (ii) is correct.
D. None of the above is correct.
Answer: C
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The function 
satisfies the equation of change 
. For what value of f is f increasing at the fastest rate?
?
A. 
B. 
C. 
D. 
Solve the system algebraically.y = 5x + 35y = 3x + 19
A. no solution B. (8, -5) C. (5, 8) D. (-8, -5)
Solve the problem.The table lists the average annual cost (in dollars) of tuition and fees at a certain 2-year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. Use the ordered pairs (3, 1149) and (9, 1302) to find the equation of a line that approximates the data. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.) 
A. y = 25.5x + 996 B. y = 25.5x + 1073 C. y = 25.5x - 1226 D. y = 51x + 996
Sketch the graph of the function and find the domain and range.f(x) = -3(x + 3)2 - 2
A. domain: all real numbers
range: y ? -2
B. domain: all real numbers
range: y ? -2
C. domain: all real numbers
range: y ? 3
D. domain: all real numbers
range: y ? -2