Find the first six terms of the sequence.a1 = 4, a2 = 2; for n ? 3, an = an-1 - an-2

A. 4, 2, 0, -2, -4, -6
B. 4, 2, 2, -2, 2, -2
C. 4, 2, 6, 8, 11, 19
D. 4, 2, -2, -4, -2, 2


Answer: D

Mathematics

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Evaluate the double integral over the given region. R = {(x, y): 0 ? x ? 1, 0 ? y ? 3}

A.  ln 2 
B. ln 2 ln 4 
C. ln 8
D. 4 ln 2  

Mathematics

Translate the verbal expression into an equation and solve for x.The product of a number and -2 is -6.

A. x + (-2) = -6; x = -4 B. x + (-2) = -6; x = 4 C. x(-2) = -6; x = 3 D. x(-2) = 3; x = -6

Mathematics

Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.

A. no solution B. (1, 3, 5) C. (1, 5, 3) D. (3, 5, 1)

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10xy + 21y2 -144 = 0

A. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
B. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
D. ? = 30°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)

Mathematics