Test the vector field F to determine if it is conservative.F = 
i + 
j + 
k
A. Conservative
B. Not conservative
Answer: B
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Describe how to transform the graph of f into the graph of g.f(x) = x2 ; g(x) = (x - 3)2 - 8
A. Shift 3 units to the left and 8 units upward. B. Shift 3 units to the right and 8 units downward. C. Shift 3 units to the left and 8 units downward. D. Shift 8 units to the right and 3 units downward.
Provide an appropriate response.Use properties to graph the quadratic equation: y = 2x2 - 4
A. I B. II C. III D. IV
Solve the problem.Suppose a cost-benefit model is given by y = 
, where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 80% to the nearest dollar.
A. $7100 B. $28,400 C. $4000 D. $5680
Find the x- and y-intercepts of f.f(x) = 8x - x3
A. x-intercepts: 0, -8; y-intercept: 8
B. x-intercepts: 0, -8; y-intercept: 0
C. x-intercepts: 0, 2
, -2
; y-intercept: 8
D. x-intercepts: 0, 2
, -2
; y-intercept: 0