1

Preparation for Midterm 11. Find the point of intersection for the following two straight lines:

a) ,

b) the first line is parallel to the graph of and passes through the point (1; 0), while the second line is perpendicular to the graph of and has the y-intercept equal to 4

c) the first line is perpendicular to the graph of and passes through the point (1; 0), while the second line is parallel to the graph of and has the y-intercept equal to 4

d) the first line passes through the points (1; 0) and (0; 10), while the second line passes through the points (0; 2) and (8; 10).

2. Find the intervals of monotonicity and the local extrema for the following functions:

a)

b)

c)

d)

e)

f)

3. Find all asymptotes for the following functions:

a) b) c)

d) e) f)

4. Calculate the limits using LHospitals Rule:

a)

b)

c)

d)

e)

f)

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