Provide an appropriate response.Decide if the statement is true or false. If false, explain.The points (-1, -1) and (1, 1) lie on the graph of f(x) = . Therefore, the Mean Value Theorem says that there exists some value x = c on (-1, 1) for which f'(x) =  = 1.

What will be an ideal response?


False. The function has a non-removable discontinuity at x = 0. The mean value theorem does not apply.

Mathematics

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Solve the problem.A 14-gram object has a volume of 35 cubic centimeters. Find its density.

A. 0.4 g/cm3 B. 490 g-cm3 C. 2.5 cm3/g D. 21 cm3

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Find the intercepts for the equation.x + y = 6

A. (3, 0); (0, 3) B. (0, 0); (0, 6) C. (6, 0); (0, 6) D. (6, 0); (0, -6)

Mathematics

Express the given logarithm as a sum and/or difference of logarithms. Simplify, if possible. Assume that all variables represent positive real numbers.log5

A.  log5r +  log5s -  log59
B.  log5rs -  log59
C.  log5r ?  log5s ÷  log59
D.  log5r +  log5s - log59

Mathematics

Solve by the quadratic formula. Simplify answers. Use i notation for nonreal complex numbers. +  = 

A. x = 
B. x = 
C. x = 
D. x = 

Mathematics