MAT 1740 NoTes SecTion 7.2-7.5
Volume using Disks and Shells, Arc LengTh and Surface area, Work
SecTion 7.2 Volumes of solids of revoluTion using
I: ..._,, -_-9
We can roTaTe a region around an axis (could be verTical or horizonTal). We can use
inTegr
MAT 1740 NoTes SecTion 7.6-7.7, 8.1
CenTers of Mass, Fluid Force, basic inTegraTion
SecTion 7.6 CenTers of Mass
Force = (mass)(acceleraTion) look aT charT abouT uniTs of mass and force
SeesawmomenT abouT a poinT. M] = nny +m2x2 +m3x3 +.+mnx S j )
When M0
MAT 1740
Test 2
name:
Note: To receive full credit, you must show all work. Problems 1-5 are 9
points each and 6-13 are 8 points each. The extra points are bonus
points. Show all work on separate paper. Clearly label each problem.
Please circle your answe
MAT 1740
Test 3
name:
cNote:
To receive full credit, you must show all work. Each problem is
worth 9 points. The extra points are bonus points. Show all work on
separate paper. Clearly label each problem. Please circle your
answers.
Evaluate each limit or
MAT 1740
Worksheet 7
name:
Due: Mar 12 at 6:00 p.m.
Instructions: Show all work on a
worth 8 points.
Evaluate each integral.
1.
3x 2
dz
2
x 3
2x
separate paper.
This worksheet is
MAT 1740
2.
x
2
Worksheet 7
2x 2
1 x 1
3
dx
name:
MAT 1740
3.
Worksheet
MAT 1740
Test 4
name:
Note: To receive full credit, you must show all work. Each problem is worth 9 points.
The extra points are bonus points. Please circle your answers. Finish each
convergence or divergence question with a sentence: this series converge
MAT 1740 NoTes SecTion 9.1-9.4
Sequences and Series
SecTion 9.1 Sequences
ML sabscrg'oks inf Infuks
A sequence is a funcTion whose domain is The seT of posiTiv inTeger's.
a1, a2, a3, ., an, 2 {an}
LisT Tour Terms of The sequences: 3
_- - =
a": 5+6!) '4 1
MAT 1740 NoTes SecTion 9.7-9.8
Taylor Series, Power series
SecTion 9.7 Taylor Series and Approximations
Pllu MMmL Jeare'
We wanT To find polynomial approximaTionsP(x) for oTher funcTion Mia WVC.
AT some value c in The domain off, We wanT (c is The cenTer)
MAT1740
Worksheet11
name:
Due:April9at6:00p.m.
Instructions:Showallworkonaseparatepaper .Thisworksheetisworth12+4(bonus)
points.
p
1. FindthefourthTaylorPolynomialfor f ( x ) =sin x expandedabout c =
3
2. FindthefifthMaclaurinpolynomialfor f ( x ) =
3.
x