Find the curvature of the space curve.r(t) = (7 t sin t + 7 cos t)i + 7j + (7t cos t - 7 sin t)k

A. ? = 
B. ? = 7t
C. ? = 
D. ? = - 


Answer: C

Mathematics

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Perform the indicated operation and simplify.  -  

A.
B.
C.
D. -1

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Construct a truth table to determine when the lightbulb is on. That is, determine which switches must be open and which switches must be closed for the lightbulb to be on. 

A. The lightbulb will be on in all cases except when p, q, and r are all open.


B. The lightbulb will be on when p and r are closed and q is open.


C. The lightbulb will be on when p, q, and r are all closed.


D. The lightbulb will be on in all cases except when p and r are open and q is closed.


Mathematics

Draw and shade a Venn diagram that corresponds to the set. ? (A ? B)

A.

B.

Mathematics

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The balance b in a checking account on a given day x.

A. Yes; x, b; there is one balance b on a given day x. B. No

Mathematics