If David does a flying jump across the room, assume at time t = 0 he is standing on the floor, that f (t) describes David's height off the floor, and at time t = 1 sec he has landed on the floor again. Which of the following describe Rolle's Theorem? f (t) can be assumed to be continuous and differentiable on [0, 1]. O If f (a)
If David does a flying jump across the room, assume at time t = 0 he is standing on the floor, that f (t) describes David's height off the floor, and at time t = 1 sec he has landed on the floor again. Which of the following describe Rolle's Theorem? f (t) can be assumed to be continuous and differentiable on [0, 1]. O If f (a)
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Chapter1: Functions And Models
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![If David does a flying jump across the room, assume at time t = 0 he is standing on the floor, that f (t) describes David's height off
the floor, and at time t = 1 sec he has landed on the floor again.
Which of the following describe Rolle's Theorem?
f (t) can be assumed to be continuous and differentiable on 0, 1].
O Iff (a) <f (b), then there is at least one number c in (a, b) such that f' (c) = 1.
If f (a) = f (b), then there is at least one number c in (a, b) such thatf' (c)
= 1.
Because f can be assumed to be differentiable on [a, b]andƒ (a) = ƒ (b), then there is at least one number c in
(a, b) such that f' (c) = 0.
Rolle's Theorem cannot be applied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6539f692-5656-46fd-b828-f0fe9bb331a2%2F0fedf974-946c-4680-be11-bca150206d57%2Ferh8i4_processed.png&w=3840&q=75)
Transcribed Image Text:If David does a flying jump across the room, assume at time t = 0 he is standing on the floor, that f (t) describes David's height off
the floor, and at time t = 1 sec he has landed on the floor again.
Which of the following describe Rolle's Theorem?
f (t) can be assumed to be continuous and differentiable on 0, 1].
O Iff (a) <f (b), then there is at least one number c in (a, b) such that f' (c) = 1.
If f (a) = f (b), then there is at least one number c in (a, b) such thatf' (c)
= 1.
Because f can be assumed to be differentiable on [a, b]andƒ (a) = ƒ (b), then there is at least one number c in
(a, b) such that f' (c) = 0.
Rolle's Theorem cannot be applied.
![Let f(x) = sin(x).
Use Rolle's Theorem to find all the values of x = c in the interval [0, T ] such that f '(c) = 0.
c = 0
c = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6539f692-5656-46fd-b828-f0fe9bb331a2%2F0fedf974-946c-4680-be11-bca150206d57%2Fl68i3o_processed.png&w=3840&q=75)
Transcribed Image Text:Let f(x) = sin(x).
Use Rolle's Theorem to find all the values of x = c in the interval [0, T ] such that f '(c) = 0.
c = 0
c = 1
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