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Let a0, a1 ::: be the series recursively defined by a0 = 1, and an = 3 + an-1 for n ≥ 1.
(a) Compute a1, a2, a3 and a4.
(b) Compute a formula for an, n ≥ 0.
(c) Use induction to show that your formula is right.
Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver
Interpolation is a method of statistical estimation and the word literally means 'making insertions'. Let us consider a well-known situation whi
x>4
factories Y=(B+CA)(C+A''B)
Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order
A farmer grows apples on her 400-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"
Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp
reflection
A word on an alphabet is any arrangement of the letters in the alphabet. For example,ODD, DOD, DOO, DDD are three-letter words on the alphabet {D,O}. How many four-letter words are
x=21
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