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.5x2 + 6xy + 5y2 = 15
A. 8u2 + 2v - 15 = 0; Parabola
B. 8u2 - 2v2 - 15 = 0; Hyperbola
C. 8u2 + 2v2 - 15 = 0; Ellipse
D. 8u2 + 2u - 15 = 0; Parallel lines
Answer: C
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Find ?f.f(x, y, z) = z sin (x + y + z)
A. F = -cos xi - cos yj + (sin z - z cos z)k B. F = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + z cos(x + y + z))k C. F = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - z cos(x + y + z))k D. F = cos xi + cos yj + (sin z + z cos z)k
Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.(12b)0
A. 1 B. b C. 0 D. 12
Simplify.
3
A. 
B. 
C. 
D. 
Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = 8 - x2 + 2x
A. (- 1, 9) B. (- 1, - 9) C. (1, - 9) D. (1, 9)