A spherical balloon with radius r inches has volume . Find a function that represents the amount of air required to inflate the balloon from a radius of inches to a radius of r+3 inches.

What will be an ideal response?


12?(r2+3r+3)

Mathematics

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Provide an appropriate response.Find all absorbing states for the transition matrix, and indicate whether or not the matrix is that of an absorbing Markov chain.   1 2 3 4  

A. State 2 and 3 are absorbing; the matrix is not an absorbing Markov chain. B. State 2 is an absorbing; the matrix is not an absorbing Markov chain. C. State 2 is an absorbing; the matrix is an absorbing Markov chain. D. State 2 and 3 are absorbing; the matrix is an absorbing Markov chain.

Mathematics

Evaluate f''(c) at the point.f(x) = ln (4x - 3), c = 1

A. f''(1) = 4 B. f''(1) = -16 C. f''(1) = 1 D. f''(1) = 0

Mathematics

Solve the problem.Bob owns a watch repair shop. He has found that the cost of operating his shop is given by  where x is the number of watches repaired. How many watches must he repair to have the lowest cost?

A. 40 watches B. 47 watches C. 33 watches D. 23 watches

Mathematics

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = x2 + 2x - 6

A. minimum; 
B. minimum; 
C. maximum; 
D. maximum; 

Mathematics