Stereotyping refers to classifying people, places, or things according to common traits. Prejudices and stereotypes can function as assumption in our thinking, appearing in inductive and deductive reasoning. For example, it is not difficult to find inductive reasoning that results in generalizations such as these, as well deductive reasoning in which these stereotypes serve as assumptions: School has nothing to do with life. Intellectuals are nerds. People on welfare are lazy. Each group member should find one example of inductive reasoning and one example of deductive reasoning in which stereotyping and occurs. Upon returning to the group, present each example and then describe how the stereotyping results in faulty conjectures or prejudging situations and people.
Stereotyping refers to classifying people, places, or things according to common traits. Prejudices and stereotypes can function as assumption in our thinking, appearing in inductive and deductive reasoning. For example, it is not difficult to find inductive reasoning that results in generalizations such as these, as well deductive reasoning in which these stereotypes serve as assumptions: School has nothing to do with life. Intellectuals are nerds. People on welfare are lazy. Each group member should find one example of inductive reasoning and one example of deductive reasoning in which stereotyping and occurs. Upon returning to the group, present each example and then describe how the stereotyping results in faulty conjectures or prejudging situations and people.
Stereotyping refers to classifying people, places, or things according to common traits. Prejudices and stereotypes can function as assumption in our thinking, appearing in inductive and deductive reasoning. For example, it is not difficult to find inductive reasoning that results in generalizations such as these, as well deductive reasoning in which these stereotypes serve as assumptions:
School has nothing to do with life.
Intellectuals are nerds.
People on welfare are lazy.
Each group member should find one example of inductive reasoning and one example of deductive reasoning in which stereotyping and occurs. Upon returning to the group, present each example and then describe how the stereotyping results in faulty conjectures or prejudging situations and people.
1.6. By manipulating Taylor series, determine the constant C for an error expansion
of (1.3) of the form wj−u' (xj) ~ Ch¼u (5) (x;), where u (5) denotes the fifth derivative.
Based on this value of C and on the formula for u(5) (x) with u(x) = esin(x), determine
the leading term in the expansion for w; - u'(x;) for u(x) = esin(x). (You will have
to find maxε[-T,T] |u(5) (x)| numerically.) Modify Program 1 so that it plots the
dashed line corresponding to this leading term rather than just N-4. This adjusted
dashed line should fit the data almost perfectly. Plot the difference between the two
on a log-log scale and verify that it shrinks at the rate O(h6).
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
Define sinc(x) = sin(x)/x, except with the singularity removed. Differentiate sinc(x) once and twice.
Chapter 1 Solutions
Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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