Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.3x2 - 2
xy + y2 - 3
x + 7y = 0
A. 4u2 + 2
u + 8v = 0; Parabola
B. 4v2 + 8v = 0; Parallel lines
C. -u2 + 4v2 + 2
u + 8v = 0; Hyperbola
D. u2 + 4v2 + 2
u + 8v = 0; Ellipse
Answer: A
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Graph the function. Give the domain and range.f(x) = log2 x + 4
A. domain: (-4, ?); range: (-?, 0)
B. domain: (-?, 0); range: (-?, ?)
C. domain: (0, ?); range: (-?, ?)
D. domain: (-?, ?); range: (4, ?)
Solve the problem.The rectangular court shown in the figure requires 324 feet of fence. Once side of the court is against a building and needs no fence. What dimensions give the largest area?
A. 162 ft by 162 ft B. 40.5 ft by 81 ft C. 81 ft by 162 ft D. 81 ft by 81 ft
Use a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places.-x4 + 3x3 + 
x2 = 
x + 2
A. {-3.34} B. {2.82, 1.61, -0.46, -0.97} C. {1.09, -0.44} D. no solution
Simplify the complex rational expression.
A. 1
B. 
C. 
D. 16