Solve the problem.Find the dimensions that produce the maximum floor area for a one-story house that is rectangular in shape and has a perimeter of 122 ft. Round to the nearest hundredth, if necessary.
A. 61 ft × 61 ft
B. 10.17 ft × 30.5 ft
C. 30.5 ft × 30.5 ft
D. 30.5 ft × 122 ft
Answer: C
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f(0, 0) = 2, saddle point; f(6, 6) = 2,594, local maximum B. f(6, 0) = 2, local minimum; f(0, 6) = 2, local minimum C. f(0, 0) = 2, test is inconclusive D. f(6, 6) = 2,594, local maximum
State the value of the discriminant and the number of real solutions.t2 - 2t + 1 = 0
A. 0, one B. 8, two C. -8, two D. 8, one
Graph the function.y = 5 cot
A. 
B. 
C. 
D. 
Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 - 6y + 12x = -81
A. vertex: (-6, 3)
focus: (-3, 3)
directrix: x = -9
B. vertex: (3, -6)
focus: (3, -3)
directrix: y = -9
C. vertex: (3, -6)
focus: (3, -9)
directrix: y = -3
D. vertex: (-6, 3)
focus: (-9, 3)
directrix: x = -3