Determine whether the following is always true or not always true. Given reasons for your answers.(u × v) ? w = u ? (w × v)
What will be an ideal response?
Not always true; (u × v) ? w = u ? (v × w), but v × w = -(w × v) from which it follows that the original equation false if 
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Provide an appropriate response.True or false? The graph of Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is an ellipse if AC > 0 and F < 0.
Answer the following statement true (T) or false (F)
Solve the problem.Find the average height of the paraboloid 
above the disk 
in the 
.
A. 160 B. 240 C. 352 D. 368
Solve the given equation without using a graphing calculator.-2x3 - 4x2 + 2x + 4 = 0
A. -1, 2, 1 B. 1, 2, 1 C. 1, -2, -1 D. -1, -2, -1
Using the given triangle lattice, if possible, sketch the following shapes. If not possible, explain why.
(a) Sketch four non-congruent non-right parallelograms with AB as one side.
(b) Sketch all of the squares with AB as one side.
(c) Sketch all of the non-square rectangles with AB as one side.
(d) Sketch an isosceles trapezoid with AB as one side.