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

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

x0

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

lim sqrt 6+sqrt (x6)/x

x0

4) Two cars start moving from the same point. One travels south at56mi/h and the other travels west at42mi/h. At what rate is the distance between the cars increasingtwohours later?

?mi/h

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