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  3. 1. determine whether rolle's theorem can be appli

1. Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all...

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Basic Math

1. Determine whether Rolle's Theorem can be applied tof on the closed interval

[a, b].

(Select all that apply.)

f(x)=
x2− 4x− 5
x + 5
,    [−1,5]
Yes,Rolle's Theorem can be applied.No, because f isnot continuous on the closed interval [a,b].No, because f isnot differentiable in the open interval (a,b).No, becausef(a) ≠f(b).


If Rolle's Theorem can be applied, find all values ofc in the open interval

(a, b)

such that

f '(c)= 0.

(Enter your answers as a comma-separated list. If Rolle's Theoremcannot be applied, enter NA.)

c =

2. The height of an object t seconds after it is dropped from a height of 230meters is

s(t)= −4.9t2 + 230.
(a) Find the average velocity of the object during the first 6seconds.
m/s

(b) Use the Mean Value Theorem to verify that at some time duringthe first 6 seconds of fall, the instantaneous velocity equals theaverage velocity. Find that time.
s

Answer & Explanation Solved by verified expert
4.5 Ratings (678 Votes)
Rolles theorem states that if a function f iscontinuous on the closed    See Answer
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