Compute 
.
Fill in the blank(s) with the appropriate word(s).
(8!/4! 2! 2!) = 420
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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.7x2 - 4xy + 11y2 - 7x + 3y - 10 = 0
A. 6.172u2 + 7.828v2 - 6.467u + 5.450v = 0; Ellipse B. 11.828u2 - 11.828v2 + 5.450u - 5.319v - 10 = 0; Hyperbola C. 6.172u2 + 11.828v2 - 5.319u + 5.450v - 10 = 0; Ellipse D. 6.172u2 - 11.828v2 - 5.319u + 5.450v - 10 = 0; Hyperbola
Evaluate the spherical coordinate integral.
A. 
?(15? - 8)
B. 
?(15? - 8)
C. 
?(15? - 16)
D. 
?(15? - 16)
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = ex+y
A. Domain: all points in the xy-plane; range: all real numbers; level curves: lines x + y = c B. Domain: all points in the xy-plane; range: real numbers z > 0; level curves: lines x + y = c C. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: lines x + y = c D. Domain: all points in the first quadrant of the xy-plane; range: real numbers z > 0; level curves: lines x + y = c
Solve the problem.Use a tree to show the employee relationships in the Allied Auto Parts Company. President Richards has two vice presidents: Greenberg and Marley. Greenberg is in charge of three regional managers: Reynolds, Hahn, and Johnson. Marley is in charge of two regional managers: Croft and Smith. Smith has an assistant: Lowell.
A. 
B. 
C. 
D. 