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1. Prove the following statements using the precise definition of the limit
a. limx→2 3 - 4x = - 5
b. limx→1 (4/3)x + 2 = 10/3.
2. Find all horizontal and vertical asymptotes of the following functions. If there are no asymptotes, say so.
a. f(x)= (x2 - 4x + 3) / (6 - x - x2).
b. g(x) = e1/x.
c. h(x)= √(x2+x+1) - √(x2+2x).
Jill's Company produces lawnmowers. It has fixed costs of $1000 per week and Variable costs of $70 per lawn mower.
What was the final price (include cost of freight) of the living room set? (Round your answer to 2 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Analyze the data using graphical representations & numerical summaries.
Draw a picture of the volume such that the x axis is partitioned into four equal parts and the y axis
Compute the length of its path from t = 0 to t = 5, Compute the velocity at time t and compute the acceleration at time t.
Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.
a machine fills 100-pound bags with white sand. the actual weight of the sand when the machine operates at its standard
what is the probability that the mean weight of a random sample of 35 college football players is between 207 pounds and 212 pounds.
Venture capital in internet-related companies in the first quarter of 1996 was $148.7 million. In the first quarter of 1997, venture capital increased to $309.1 million. Find the percent increase in venture capital for internet-related companies f..
A jazz concert brought in $166,500 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type were sold?
At the point (1, 2), the line y = 3x-1 is tangent to the graph of f(x) = Ax3 + Bx2 + C, where A, B, and, C are all real numbers. if f''(1)=0, find the values of A, B, and C.
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