Determine whether y ? ? or y ? -? as x ? -? and x ? ?.y = -x3 + 6x2 - 3x - 7
A. y ? -? as x ? -?; y ? ? as x ? ?
B. y ? ? as x ? -?; y ? ? as x ? ?
C. y ? -? as x ? -?; y ? -? as x ? ?
D. y ? ? as x ? -?; y ? -? as x ? ?
Answer: D
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Factor the trinomial completely. If the polynomial cannot be factored, write "prime."3r6 - 6r5 - 24r4
A. 3r4(r + 2)(r - 4) B. (3r3 + 12)(r - 2) C. 3r4(r - 2)(r + 4) D. (3r3 + 6)(r - 4)
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
Find all absorbing states for the transition matrix, and indicate whether or not the matrix is that of an absorbing Markov chain.
A. State 2 is absorbing; the matrix is that of an absorbing Markov chain. B. State 4 is absorbing; the matrix is not that of an absorbing Markov chain. C. States 2 and 3 are absorbing; the matrix is not that of an absorbing Markov chain. D. States 2 and 4 are absorbing; the matrix is that of an absorbing Markov chain.
Write the first four terms of the sequence whose general term is given.an = 
n
A. - 
, 
, - 
, 
B. - 
, - 
, - 
, - 
C. 
, - 
, 
, - 
D. - 
, 
, - 
, - 