Solve the problem.Find the values of v0 in the equation e =  - 1 that make the orbit described by  parabolic.

A. v0 = 2GM
B. v0 =  
C. v0 = 
D. v0 = 


Answer: C

Mathematics

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Find the torsion of the space curve.r(t) = (t - 3)i + (ln(sec t) + 1)j - 10k, -?/2 < t < ?/2

A. ? = -1 B. ? = 0 C. ? = 1 D. Undefined

Mathematics

Solve the problem.A lake lies between A and C, and lines AB and DE run north-south. If  = 7.6 mi,  = 1.3 mi, and  = 1.8 mi, how far is it from A to C? Round to the nearest tenth.

A. 11.0 mi B. 8.7 mi C. 5.5 mi D. 10.5 mi

Mathematics

Solve the compound inequality. Graph the solution set.-  ?  < 

A.

B.

C.

D.

Mathematics

Solve the problem.The function P(x) = 0.62x2 - 0.048x + 1 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 31,044 fish?

A. 2006 B. 2004 C. 2005 D. 2003

Mathematics