Solve the problem.Of all points (x, y, z) that satisfy x - y - z = 1, find the one that minimizes x2 + 2y2 + 3z2.

A.
B.
C.
D.


Answer: B

Mathematics

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Solve the given differential equation. (The form of yp is given.)D2y + 9y = sin x - 2 (Let yp = A + B sin x + C cos x.)

A. y = c1 sin 3x + c2 cos 3x +  + sin x
B. y = c1 sin 3x + c2 cos 3x -  + sin x
C. y = c1 sin 3x + c2 cos 3x -  - sin x
D. y = c1 sin 3x + c2 cos 3x -  + sin x + cos x

Mathematics

Write and solve an equation to answer the question. Round percent to the nearest thousandth, if necessary.A discount store had monthly sales of $52,200 and spent 8% of it on health insurance. How much was spent on health insurance?

A. $4176 B. $652,500 C. $41,760 D. $65,250

Mathematics

Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument ?. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

Give the equation for a circle with the given center and radius.Center at (-9, 0), radius 

A. (x + 9)2 + y2 = 13 B. x2 + (y + 9)2 = 169 C. (x - 9)2 + y2 = 13 D. x2 + (y - 9)2 = 169

Mathematics