Provide an appropriate response.The function f(x, y) = 
x3 + 
y2 + xy - 6x + 3 has a relative minimum at
A. (-2, 2).
B. (2, -2).
C. (-3, 3).
D. (2, 2).
E. (3, -3).
Answer: E
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Graph the linear function using the slope and y-intercept.y = - 
x
A. 
B. 
C. 
D. 
Find the mean.4, 6, 9, 5, 11, 10
A. 6.0 B. 9.0 C. 8.0 D. 7.5
Figure (a) shows a vacant lot with a 100-ft frontage in a development. To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b). Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 100], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 100]. To estimate the area of the lot using a Riemann sum, we divide the interval [0, 100] into five equal subintervals of length 20 ft. Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property. These measurements give the
values of f(x) at x = 10, 30, 50, 70, and 90. What is the approximate area of the lot?
?
?
?
A. 7,900 sq ft
B. 8,600 sq ft
C. 8,100 sq ft
D. 8,400 sq ft
An alpinism club would like to survey its members to determine where to go next summer. ? Decide on a reasonable means for conducting the survey to obtain the desired information. ?
A. Survey as many alpinism club members as possible about where they want to go in summer. B. Survey 1000 random people of different age, sex, nationality, and so on. C. Survey 1000 random people in the street. D. Survey 1000 persons whose names are chosen from the local telephone directory. E. All of these are good surveys.