MATH235 FALL 2007

HOMEWORK

Section<2.6>, 1,3,5,11,13,15

Section<2.6>, 7,17,18,19,21

  • Proof for Homework

    Section<2.5> Using a delta epsilon argument prove the limit in problem 14 is 12.
    Hint: Since the limit exists you will be able to divide the numerator evenly by t+2.
    seciton<2.6>, 26,27

    Section<2.5>, 1,3-5,8-11,13,14,16,17,31-33,40-42,46-48,57-60,62,63,75

    Section<2.5>, 19-23, 43-45, 53-56, 76

    Section <2.7>, 6-9, 11-13, 15, 17b, 22, 23. REMINDER: Test 1 will be held Fri. Sept. 28!

    Section <2.5> 51, 52, 65, 68 AND Section <2.7> 13 (now with our super powered new tool!), 14, 18, 19b, 20

    Assume you know sin(x) and cos(x) are continuous
    Section<2.8> 6,12,13,15,17,19,20,27,29,35,36,44,45,51
    Find f '(c) for f(x)=k, f(x)=x, and section 3.2 #7,9 using both forms of the definition of f '(c) discussed in class today.

    Section <3.2>, 43, 44 AND Section 3.3: #29-31, 70, 73-75, 76a

    Section <3.2> 21, 22 AND Section <3.3> 1, 5, 9, 11, 19, 21, 23, 35-38, 70, 71 AND Section <3.4> Finish any derivations of the six trig function derivative formulas that you didn't get done in class (essentially, 3.4 34) AND Section <3.4> 1, 3, 5, 7, 13, 15, 17, 33(a)-(d),(h),(i).

    Section <3.3> 41(a),(c), 43, 45, 47, 79, 82, 84, 85 AND Section <3.4>19, 23.

    NOW take your new rule (you!) proved today in class out for a spin: Section <3.5> 1, 5, 9, 13, 17, 19, 21, 29, 33, 42, 65, 67, 71.

    Let's kick into higher gear now with our chain rule: Section <3.5> 47, 48, 51(a), 54(a), 63, 66, 68(b), 69, 75. For 54(a), change the angle to evaluate to radians instead of degrees, and express your answer in units of pounds/radian.

    Section <3.6> 1, 3, 5, 17, 19, 25, 35, 37, 41, 45 AND Section <3.1> 5, 7 AND Section <3.2> 17, 19, 28 AND Section <3.3> 57.

    Section <3.2> 33, 34, 40 AND Section <3.3> 52-54, 59, 65-67 AND Section <3.4> 25a,b, 26, 27 AND Section <3.5> 43 AND Section <3.6> 33, 55.

    Section <3.1> 1, 3, 14 AND Section <3.3> 39, 40 AND Section <3.4> 29, 31, 32 AND Section <4.1> 1, 3, 5, 6, 11, 13, 15

    Section<4.1> 20, 21, 29, 40, 41. Reminder: always convert angles to radian measure!

    Section<4.2>3, 7, 11, 13, 17, 21, 22, 27(c), 29(a), 31, 38.

    Section <4.3> 5, 9, 15, 17, 21, 27, 37, 41, 45, 47.

    Section <4.6> 3, 7, 13, 19, 23, 24, 29, 32, 34, 40

    Section <4.7> 3, 5, 9, 12, 15, 17, 21, 26, 27, 29, 39, 43, 51, 58, 59

    Section <5.5> 1, 3 and Section 5.6 #9-11 (express as limits as n -> infinity), 42.

    Section <5.7> 1, 3, 9, 13, 19, 22, 24, 27, 39, 45, 47, 51, 61(a).

    Section <5.2> 9, 11, 13, 17, 19, 21, 23, 25, 43, 45, 47.

    Section <5.3> 3, 5, 7, 11, 15, 17, 21, 31, 35, 38, 39, 41.

    Section <5.8> 1, 17, 25, 29 AND Section <5.9> 1, 3, 5, 12a, 15, 16, 25, 31.

    Section <5.7> 33, 37, 49, AND Section <5.8> 31, AND Section <6.1>3, 5, 11, 13, 15, 17, 23, 25, 31, 37

    Section <6.2> 1, 3, 5, 13, 17, 19, 31, 37, 42, 43, 61