Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x4 - 5x3 + 3x2 + 9x - 3; (-5, 5)
A. local minimum at (-1, -6)
local maximum at (1, 6)
local minimum at (3, -3)
B. local minimum at (-3, -3)
local maximum at (-1.32, 5.64)
local minimum at (0.57, -6.12)
C. local minimum at (-0.61, -5.64)
local maximum at (1.41, 6.12)
local minimum at (3, -3)
D. local minimum at (-0.57, -6.12)
local maximum at (1.32, 5.64)
local minimum at (3, -3)
Answer: D
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Identify the quadric surface by name. Find and describe the xy-, xz-, and yz-traces, when they exist.16x2 - 16y2 - z = 0
A. Elliptic paraboloid; xz-trace: 16x2 - z = 0 (parabola); yz-trace: 16y2 + z = 0 (parabola) B. Elliptic paraboloid; xz-trace: 16x2 - z = 0 (hyperbola); yz-trace: 16y2 + z = 0 (hyperbola) C. Elliptic cone; xz-trace: 16x2 - z = 0 (hyperbola); yz-trace: 16y2 + z = 0 (hyperbola) D. Hyperbolic paraboloid; xz-trace: 16x2 - z = 0 (parabola); yz-trace: 16y2 + z = 0 (parabola)
Replace the polar equation with an equivalent Cartesian equation. 2r cos ? + 8r sin ? = 1
A. 2x + 8y = x2 + y2
B. 
+ 
= 1
C. 2y + 8x = 1
D. 2x + 8y = 1
Solve.A substance has a melting point of 575°K. At what Celsius and Fahrenheit temperatures would this substance melt? Round to the nearest hundredth.
A. 575.33°C, 301.85°F B. 302°C, 149.92°F C. 301.85°C, 575.33°F D. 848.15°C, 511.33°F
Which of the following mathematical equations represents the operating breakeven point, QOpBEP, for a firm?
A. Sales = Gross profit margin B. Sales = Total variable costs + Total fixed costs C. Total operating costs = Total variable costs + Total contribution margin costs D. Total operating costs = Contribution margin E. Contribution margin = Earnings before interest and tax