Identify the conic section represented by the equation.5x2 + 5y2 - 20x + 42y - 78 = 0
A. parabola
B. hyperbola
C. circle
D. ellipse
Answer: C
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) =
A. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers 0 ? z ? 1; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 1
B. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 1; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 1
C. Domain: all points in the xy-plane satisfying x2 + y2 = 1; range: real numbers 0 ? z ? 1; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 1
D. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at
Evaluate the function.f(x) = 6x2 + 2x + 5, find f(-5)
A. 140 B. 157 C. 145 D. -35
Solve the problem.In his chemistry lab, Harrison measured the mass of a sample of calcium carbonate six different times. The mass measurements he observed were: 2.016 g, 2.009 g, 2.017 g, 2.011 g, 2.012 g, and 2.011 g. Find the mean of these measurements.
A. 2.011 g B. 2.015 g C. 2.013 g D. 2.01 g
Solve the problem.If a license plate consists of four digits, how many different licenses could be created having at least one digit repeated.
A. 5040 licenses B. 4960 licenses C. 3024 licenses D. 10,000 licenses