MATH 151 HW

1.1 2,6,24,26,28,32,34,38
1.3 36,46
2.1 6,8
2.2 6,8,16,20,24,26
2.3 2,4,8,16,20,22,28,36,42,48
2.4 2,4,6,20,30,42
2.5 4,18,36,46
2.6 8,10,12ab,18
3.1 8,10a,18,20,36
3.2 6,10,20,26,36
3.3 6,10,14,20,24,30,34
3.4 4,8,18,30
3.5 2,10,16,22,26a
3.6 12,16,20,24,26,30,38,40
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3.7 10,16,18,28,32ab
3.8 4,8,16,18,44
3.9 10,12,18,26,30,36
3.10 6,18,22,26,32,36
4.1  32,36,42,46,52,56
4.2  2,6,14,16,18
4.3  6,8,14,32,36
4.4  12,16,20,24,26,38,46,50
4.5  12,18,24,28,32,46,48
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4.7 4,12,16,24,30,34
4.8 6,12
4.9 6,14
4.10 4,12,14,20,26,30,34,36
5.2 2,6,12,18,30,40,48,50
5.3 8,16,18,22,28
5.4 4,8,12,20,30,40
5.5 12,16,18,28,38,40,58
6.1  4,8,10,14,18
6.2  6,10,18,26
6.3  2,12,16,22,24
6.4  14
6.5  4
7.2*  14,16,24,60,64,66
7.3*  32,36,38,70,72,74

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.
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11. The linear approximation of f(x) near a is what?
12. If f(x) is a differntiable function, then f'(x) is a function of
how many variables?  What are they?
13. If f(x) is a differentiable function, then df is a function of how
many variables?  What are they?
14. State the Max-Min Theorem.
15. Give an example to show that you must have continuous in the 
Max-Min Theorem.
16. Give an example to show that you must have a closed interval in 
the Max-Min Theorem.
17. How might you explain what differentiable means to a noncalculus
person.
18. How might you explain what continuous means to a noncalculus
person.
19. How might you explain what the MVT says to a noncalculus person.
20. What theorem is used to prove "if f' is + then f is inc"?
21. What theorem is used to prove that two functions with the same
derivative differ at most by + C?
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22.