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MATH 152 HW
7.1 4,18,24,34,38,40
7.2* 16,18,28,64,68,70
7.3* 28,30,34,40,42,76,78,82
7.4* 22,28,32,36,38,42,46,48,50
7.5 2,8,10,14,16
7.6
4,6,8,24,26,28,30,32,44,46,60,62,64,66,68,70
*********************************************’
7.7 2,6,12,32,36,40,44,58,60,62,64
7.8 6,10,16,26,28,32,34,40,46,52,58,62
8.1 6,10,14,18,20,22,24,26,28,30,32
8.2 2,6,10,14,18,22,28,34,42,44
8.3 6,8,10,14,20,22,24,30
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8.4 10,12,16,20,24,28,38
8.5 1-27
even
8.5 28-54 even
8.5 55-81 even
8.7 10,12,16,20(also do Simpson’s Rule)
8.8 8,12,16,22,28,30,32,34,38
9.1 8,12,18
ADHOC
ASSIGNMENT: handout given in class about
the circum and
Area of a circle
12.1 18,20,24,28,30,32,40,42,60,62,64,66
12.2 22,26,28,30,32,34,36,44,50
12.3 4-26
even, 32
12.4 6,10,14,18,22,26,30,32
12.5 4,6,10,14,18,20,28
12.6 8,10,14,18,20,24,26
12.7 1-20 even
12.7 22-38 even
12.8 4,10,12,14,16,18,20,22,24,28
12.9 4,6,8,14,16,28
Questions
1. What makes a math problem a calculus problem?
2. What causes the most problems for most
students in calculus?
3. For the most part limit rules are hard or
easy to believe?
4. Most people would say the formal proofs of
the limit rules are
surprisingly easy or hard?
5. Explain to a non-calculus person what lim as x approaches a of
f(x) = L means.
6. Give the exaxt
meaning of lim as x approaches a of
f(x) = L.
7. Explain how this exact definition in #6 can
be understood with in
a gameshow context.
8. Know why the definition of the derivative
makes sense. We drew
a picture and told the story in class.
9. Explain to a non-calculus person what it
means that f(x) is
continuous at a.
10. Give the
exact definition of f(x) is continuous at a.
11. How might you
explain what differentiable means to a noncalculus
person.
12. How might you
explain what continuous means to a noncalculus
person.
13. How might you
explain what the MVT says to a noncalculus person.
14. What theorem
is used to prove "if f' is + then f is inc"?
15. What theorem is
used to prove that two functions with the same
derivative differ at most by + C?
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16. Know why the
definition of the definite integral makes sense. We drew a picture and told the story in
class.
17. State the FTC
part I.
18. State the FTC
part II.
19. Explain to a
non-calculus person what the FTC says.
20. Can the FTC
always be used to find a closed form when integrating?
21. Can the FTC
be used to integrate integral from 0 to 2 of e raised to the x^2?
22. What is the
only way to find this number in 21?
23. What does the
Max-Min Theorem say?
24. What does the
IVT Theorem say?
25. Is the
Max-Min Theorem proved in Calc I or II?
26. Is the IVT
proved in Calc I or II?
27. Explain what
the IVT says to a non-calc person.
28. Be able to prove the 3 ln rules on
page 422.
29.
Integration by parts is just what rule for derivative run backwards?
30. How is l’hopital’s rule proven?
31. What does it
mean for a sequence to converge to L?
32. The Trapezoid
rule uses segments that are __________ to approximate int
of f(x).
33. Simpson’s
rule uses segments that are __________ to approximate int
of f(x).
34. For which
types of functions are the Trapezoid rule guaranteed to be exact,
For which is
Simpson’s Rule guaranteed to be exact? A)linear, B)quadratic polys,
C)cubic polys
35. What is the
definition of integral from a to b of f(x) if f(x) is not continuous at b (but
every
Where else from a to b)?
36. What is the
definition of integral from a to inf
of f(x) for f cont?
37. What is the
definition of integral from a to b of f(x) if f is cont everywhere but at c
which
Is between a and b?
38. Can all
definite integrals be found by using the FTC?
39. How can you
evaluate integrals that the FTC can’t do?