Solve the problem.Find the point on the plane    that is nearest the origin.

A. (-2, 8, 2)
B. (4, 4, 0)
C. (2, 4, 0)
D. (2, 4, -2)


Answer: D

Mathematics

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Solve the initial value problem.Differential Equation:  = 8t2i - tj Initial Conditions:  = -7i, r(0) = 9i  - 4k

A. r(t) = i - j - 4k
B. r(t) = i - j - 4k
C. r(t) = i + j - 4k
D. r(t) = i - j - 4k

Mathematics

Solve the problem. Where appropriate, round to the nearest tenth of a percent.The graph below shows the number of internet host sites for five consecutive years. Find the percent increase in host sites from 2008 to 2009. Round to the nearest percent.20082009201020112012Year

A. 0.8200% B. 1.0200% C. 102% D. 82%

Mathematics

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.5 + 30 + 180 + ... + 5 ? 6n-1 + ...

A.
B. ; series diverges
C. ; 1
D. ; series diverges

Mathematics

Find the vertex, the focus, and the directrix of the parabola.x2 + 2x - 4y + 17 = 0

A. V: ; F: (-1, 5), D: y = 
B. V: (1, 4); F: (-1, 5); D: y = 3
C. V: ; F: (-1, 8); D: y = 0

D. V: ; F: (-1, 3); D: y = 5

Mathematics