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For each expression, find the limit and prove it is correct using the δ/ε definition of the limit:
a) lim x→2 (x2-3x+1)
b) lim x→-1 (x2+3)
c) lim x→0 (5x2+2x+1)
a waste treatment pond is 50m long and 15m wide and has an average depth of 2m. the density of the waste is 85.3
What is the probability that in a random sample of 500 adult Americans less than 38% believe that marriage is obsolete?
1)Assume 64 different op codes and 19-bit instruction word in a computer system. Two bits in the instruction are reserved to indicate the addressing mode.
Find the temperature of the soup 16 minutes after it is placed in the room. (Round to the nearest degree.)
If R denotes the reaction of the body to some stimulus of strengths x, the \sensitivity S la defined to be the rate of change of ins reaction with respect to x. Find the sensitivity corresponding to x = 2.
Will ordered 2 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $3.50 per box, and felt-tip pens cost $4.50.
Write system of linear equations that represents the situation. Then write matrix equation that corresponds to your system.
Find a point c satisfying the conclusions of the Mean Value Theorem for f(x) = x3 , 0
Implement Euler's method and 4th order Runge-Kutta (RK) method in Matlab. Keep your programming so that you can change the ODE and step size dt easily
Which major historical events influenced the development of macroeconomics as a field of study? In addition to the problems listed in the text, do you think there are other current problems that macroeconomics should be addressing?
Why -2=-x , is x=2 Explain.
From the top of a vertical cliff of height 83 m the angle of depression of a small island is 8°. How far (in m, to 2 decimal place accuracy) is the island from the base of the cliff?
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