Provide an appropriate response.Let f have a derivative on an interval I. f' has successive distinct zeros at  and   Prove that there can be at most one zero of f on the interval 

What will be an ideal response?


Assume there are 2 (or more) zeros a and b on the interval  where     By Rolle's theorem there is at least one number c in (a, b) such that  and   This implies there is another zero between 1 and 5 which is a contradiction. Thus, there cannot be more that 1 zero of f on 

Mathematics

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Add or subtract.-17 - (-17)

A. 51 B. 34 C. 0 D. -34

Mathematics

Solve the problem.In a certain year a state government collected $16 billion in taxes. If the state had 10,000,000 residents, what was the per capita tax burden, or the amount that each citizen of the state paid in taxes? Round to the nearest hundred dollars.

A. $16,000 B. $160 C. $1600 D. $160,000

Mathematics

Solve the problem.Two forces, of 67.5 N and 47.2 N, forming an angle of 122.6°, act at the origin. Find the magnitude of the resultant force.

A. 114.7 lb B. 101.1 lb C. 57.9 lb D. 2700 lb

Mathematics

Graph the function.y = sec x

A.

B.

C.

D.

Mathematics