1) Approximating slopes of tangent lines using the process shown last week for the function f(x) = x2 - 1 at the point (2, 3). Using a straightedge, draw a tangent line as accurately as possible at
the point (2, 3). Then draw a secant line through the points (2, 3) and (3,8). We will refer to that as the
right secant line. Draw another secant line, this time through the points (1, 0) and (2, 3). This is the left
secant line. Answer the following questions.
a. What is the slope of the left secant line?
b. What is the slope of the right secant line?
c. Using the results above, fill in the blanks with numerical values:
< slope of tangent line <
d. Based on the foregoing, what is your best numerical estimate of the tangent line.

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7 /8 x^2+x+ 31/8 ?

Identify the slope an intercept of the following linear equation y = 1/5x - 6 a. slope: 1/5; intercept: -6 b. slope: 5; intercept: -6 c. slope: -1/5; intercept: 6 d. slope: 1/5; intercept: 6

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.