Use the definition of O-notation to prove that 15x^3 +8x+4 is O(x^3).(Do not use the theorem on polynomial orders.)
What will be an ideal response?
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Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 692 with r = 0.6. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.
A. a1 = 415.20, a2 = 249.12, a3 = 149.47, a4 = 89.68, a5 = 53.81 B. a1 = 692, a2 = 1107.20, a3 = 1771.52, a4 = 2834.43, a5 = 4535.09 C. a1 = 692, a2 = 692, a3 = 692, a4 = 692, a5 = 692 D. a1 = 692 , a2 = 415.20, a3 = 249.12, a4 = 149.47, a5 = 89.68
Find an equation of variation for the given situation.y varies jointly as x and the square of z, and y = 500 when x = 4 and z = 5
A. y = 25xz
B. y = 5xz2
C. y = 
D. y = 6xz2
Find the center and the radius of the circle.(x + 1)2 + (y + 6)2 = 6
A. center (-1, -6); radius = 6
B. center (-1, -6); radius = 36
C. center (1, 6); radius = 
D. center (-1, -6); radius = 
Convert the length as indicated.30 yards to inches
A. 90 in. B. 10 in. C. 360 in. D. 1080 in.