Below are graphs of difference equations of the form yn = ayn-1 + b. List the graphs which have the stated property.I.II.?III.IV.?attracted to the line y = 

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Fill in the blank(s) with the appropriate word(s).


III and IV

Mathematics

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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = ?/6 to x = ?/2. The cross sections perpendicular to the x-axis are circular disks with diameters running from the curve  to the curve 

A.  - 
B. ( - 1) ? + 
C.  - 
D. (2 - 2) ? - 

Mathematics

Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?

A. 0.35 B. 0.559 C. 0.224 D. 0.217

Mathematics

Provide an appropriate response.Under what conditions must the inequality symbol be reversed when solving an inequality?

What will be an ideal response?

Mathematics

Solve the problem.The volume of a rectangular box with square base and a height of 5 feet is V(x) = 5x2, where x is the length of a side of the base. Find the instantaneous rate of change of volume with respect to x when x = 3 feet.

A. 15 ft3/ft B. 6 ft3/ft C. 30 ft3/ft D. 45 ft3/ft

Mathematics