Consider the regular expression a(a | b)?b.
(a) Describe the language defined by this expression.
(b) Design a finite-state automaton to accept the language defined by the expression.
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 9xi + 9yj + 9zk , S is the surface of the sphere x2 + y2 + z2 = 4 in the first octant, direction away from the origin
A. 24? B. 36? C. 0 D. 72?
Identify the pairs of complementary or supplementary angles, as indicated.Supplementary
A. ?BAN & ?PAT; ?BAP & ?TAN B. ?BAP & ?BAN; ?PAT & ?TAN C. ?BAP & ?PAT; ?PAT & ?TAN; ?TAN & ?BAN; ?BAN & ?BAP D. ?BAP & ?PAT; ?BAN & ?TAN
If P dollars are invested at the end of each year in an annuity that earns interest at an annual rate r, the amount in the account will be A dollars after n years, where
?
?
If $6,500 is invested each year in an annuity earning 10% annual interest, when will the account be worth $55,000?
?
Please enter your answer as a number without the units, rounded to one decimal place.
Fill in the blank(s) with the appropriate word(s).
Predict the general, or nth term, an, of the sequence.
, 
, 
, 
, 
, . . .
A. 
B. 
C. 
D. 