Find the unit tangent vector of the given curve.r(t) = i  + j - 12tk

A. T = i  + j  - k
B. T = i  +  j  - k
C. T = i  + j  - k
D. T = i  + j  - k


Answer: C

Mathematics

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Choose the equation that matches the graph.

A. x2 = -8y B. x2 = 8y C. 8x2 = y D. y2 = 8x

Mathematics

You start with an investment of  $1440.09.  The first year the investment grows by 7%.  The second year the investment declines by 7%.  What is the value of the investment at the end of the two-year period? Round your answer to the nearest cent. ?

A. $1,440.09 B. $1,433.03 C. $0.00 D. None of the above

Mathematics

Find the indicated probability.You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a two shows on at least one of the dice. Find P(F) and P(F?E).

A. P(F) =  , P(F?E) = 
B. P(F) =  , P(F?E) = 
C. P(F) =  , P(F?E) = 
D. P(F) =  , P(F?E) = 

Mathematics

What number should be added to complete the square of the expression?x2 - 18x

A. 81 B. 162 C. 41 D. -9

Mathematics