6 Answered Questions for the topic Rolle's Theorem

How is sin (5π/4) - cos (5π/4) = 0

In the question verify rolles theorem for the function f(x) = e^x ( sin x - cos x ) on [π/4, 5π/4],I can't understand why sin (5π/4) - cos (5π/4)=0?
Rolle's Theorem Velocity Calculus 1

10/04/18

Rolle's Theorem

The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 5.   Verify that f(1) = f(3). In ft.f... more
Rolle's Theorem Math Calculus Math Help

02/07/18

Where is Rolle's Theorem true?

for the function f(x)=x^3-2x^2-3x, find the values where Rolle's Theorem is true.
Rolle's Theorem

10/23/16

Rolle's Theorem and Piece Wise Functions

The piece wise function f(x)=  0    ,   x=0           is differentiable on (0,1) and satisfies f(0)=f(1), but its derivative is never                                             1-x  ,  ... more
Rolle's Theorem

10/23/16

Rolle's Theorem

let f be continuous on [a;b] and differentiable on(a;b). If there exists c in (a; b) such that f(c) = 0, is it possible for f(a) to not equal f(b)?    
Rolle's Theorem Calculus Derivative

12/29/12

Find the value(s) of c guaranteed by Rolle's Theorem for f(x)= x^2 +3x on [0,2]

How do you solve this and which answer choice is right and why? a) c= -3/2 b) c= 0,3  c) Rolle's Theorem does not apply as f is not continuous on [0,2] d) Rolle's Theorem does not apply as f(0)... more

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