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1).Find the constant a such that the function is continuous on the entire real line. f(x) =6x2, x 1 ax 8, x < 1 a =?
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Question

1).Find the constant a such that the function is continuous on the entire real line.f(x) = 6x2,    x ≥ 1

ax − 8,    x < 1

a = ?

2.)Find the limit. (If an answer does not exist, enter DNE.)

lim  x/x2 + 3x

x→0 

3) Find the limit. (If an answer does not exist, enter DNE.)

lim  sqrt 6 + sqrt (x− 6)/x

x→0 

4) Two cars start moving from the same point. One travels south at 56 mi/h and the other travels west at 42 mi/h. At what rate is the distance between the cars increasing two hours later?

 ?mi/h

Step-by-step answer

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Subject: Calculus, Math

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