Determine whether the relation is also a function.{(-8, 6), (-5, 9), (-1, -7), (3, 3)}

A. yes
B. no


Answer: A

Mathematics

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Find the curvature of the space curve.r(t) = ti + (sinh t)j + (cosh t)k 

A. ? = 
B. ? = 
C. ? = cosh2 t
D. ? = sinh2 t

Mathematics

L'Hopital's rule does not help with the given limit. Find the limit some other way.

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

Mathematics

Evaluate the double integral over the given region. R: 0 ? x ? 5, 0 ? y ? 3

A. ln 24
B. ln 6 ln 4
C. 4 ln 6
D.  ln 6

Mathematics

During testing of a certain brand of air purifier, the amount of smoke remaining t min after the start of the test was   percent of the original amount. Compute . Round your answer to five

decimal places.
?

A. ? per minute

per minute in the second power


B.  per minute

 per minute in the second power


C.  per minute

 per minute in the second power


D.  per minute

 per minute in the second power


E.  per minute

 per minute in the second power


Mathematics