There exists a differentiable function ƒ : (−1, 1) → R that does not have any local extrema but whose derivative vanishes at one point in (−1, 1). Select one: a. True, here is an example: ƒ(x) = x³. O b. False, because by the IET if ƒ'(c) = 0 with c € (−1, 1) then c is at least a local extremum of f. c. True, because f is continuous on (-1, 1) which is an interval and thus it has a maximum and a minimum on that interval, and its derivative vanishes at these points by the IET. O d. True, here is an example: f(x) = sin(x).

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

A: Definition:   Dilation is a transformation, which is used to resize the object.  Dilation is used to…

A: To Determine: find XY  Given: we have a figure in which we have                           YT=21…

A: We have to find whether the new TV screen is a dilation of old TV screen.

A: Given that  The stop sign is the form of octagon  Then to find the area of the octagon

A: Solution

A:

A: Since you have asked multiple questions, we will solve first question for you. If you want any…

A: by secant formula, we will find out this

A: We know that if two chords are intersecting at a point in following way, Then, BS.AS=DS.CS .

A:

A:

A: We need find the exact value on the place of ?

A: