
Math Tutoring Center
Hodges North Commons (220F)
MTWR & Sun 5pm10pm
HW Help
Thu Jan 15
(8) Same as 7
(10) Formula derived in class
(11) Plotting (x,f(x)) on graph may help.
(13) Uses formula from 10
Sat Jan 17
(2) Area of circle is pi*r^2
(3) Graph & use geometry
(67) Graph in pieces?
(9) What about f(x)=x1 on [0,4]?
(1012) Same as 3
Thu Jan 22
(5) Express answer in terms of ln
(6) Consider pieces of f(x) separately
Sun Jan 25
(3) Use G(1)=0 to find C exactly for G(x)
(4) Similar to 3, but with F(2)=0
(6) Note you started with 50 insects at t=0
Thu Jan 29
(7) tan(A)=sin(A)/cos(A)
(8) cot(A)=cos(A)/sin(A)
(9) sin^8(A)=(sin(A))^8
(11) Similar to 9
(12) Similar to 5
Sun Feb 1
Sun Feb 8
(3) The x^2 term will require two iterations
(4) Same as 3
(5) Manipulate the equations
(7) Similar to 2, with sin(2x)
(810) Two parts related by derivative?
Thu Feb 12
Sun Feb 15
(4) Similar to 3, but factor to get a leading 1
Thu Feb 19
(4) Note the factor of multiplicity 2
(5) Note x^2+1 has only complex roots
Sun Feb 22
(57) Needs usub to integrate
(8) Needs integration by parts, then L'Hopital
Sun Mar 1
(2) Intersection pts where f(x)=g(x)
Thu Mar 5
(3) Graph carefully, then two regions
(5) x^2+y^2=r^2...circle radius r...center (0,0)
Sun Mar 9
(3) Find intersections...A(x) is an annulus
(4) Same as 3...but A(y) is an annulus
(56) Riemann rects parallel to rotation axis
(7) Note x>=0 yields only one encolsed area
Thu Mar 12
(34) Cylindrical shells with modified r
Fri Mar 27
(6) L'Hopital's Rule
(78) Geometric Series
(11) e^(n)=1/e^n
(1314) Numerator bounded
Sun Mar 29
(6) Careful accounting for all bounces?
(7) Same hint as 24
(8) (a+b)/c=(a/c)+(b/c)
(9) a_n=(S_n)(S_n1)
Fri Apr 3
(2) Compare to 1/k^n
(3) (a/b)^n = (b/a)^n. Geometric series.
(47) Limit compare
(8) u=ln(n)
Tue Apr 7
(2) ptest with alternating series
(3) a_n=(1/1.07)^n. Geometric?
(4) Geometric?
(5) ptest
(6) First rule?
(79) ptest & limit comparison
(10) ptest with alternating series
(11) u=ln(n)
Thu Apr 9
then test endpts to determine interval exactly.
(1112) Factor out constant(s) to get 1/(1k)
Sun Apr 12
(3) Use Taylor's Formula
(48) Use known formulas for e^x, cosx, & sinx
(8) You might distribute then combine terms
(9) Use Taylor's Formula
Sun Apr 19
(6) sin(30*)=1/2
(8) Consider at surface. Then, add to depth.
Thu Apr 23
(5) Region is an area between curves
Sun Apr 26
(5) Set r=r to find intersection points.
Then, (Area in big circle)(Area in small circle).
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