Math 182-Quiz 3 NAME:
Instructions : Show at least one step of your work (where apprope) for full credit.
1. Compute (a)-(c), and (d) for extra credit.
(a) f sin3 x cos x dx
(b) f 4 - x2dx.
Note: following the trig substitution and integration, use sin(28
Math 182-Quiz 8 NAME:
Instructions : Show at least one step of your work (where appropriate ) for full credit.
Test the following series for convergence of divergence.
1. E'l `t 31, i ( first comparison test)
2. (second comparison test
n= 2,1.1-1
ip ,
3.
Math 182-Quiz 7 NAME:
Instructions : Show at least one step of your work (where appropriat/) for full credit.
1. Determine whether the following sequences convergent or divergent. If they are convergent, compute the limit, if they are divergent , be expli
Math 182-Quiz 2 NAME:
Instructions : Show at least one step of your work (where appropriate) for full credit.
1. Choose one problem. Do both for extra credit.
(a) Use cylindrical shells to compute the volume of the solid obtained by rotating the
region bo
i
Math 182-Quiz 5 NAME:
Instructions : Show at least one step of your work (where appropriate) for full credit.
1. Do two of the following three problems and all three for extra credit. Be clear about
which problem is your choice for extra credit.
(a) Fin
Math 182-Quiz 4
NAME:
Instructions : Show at least one step of your work (where appropriatee,^for full credit.
1. Compute the following integrals
(a) L12 (2x-1)2 dx
(b) fo xe-x dx.
See back page for problem 2.
h)
j (,L- = 24
S3
3
Lk
6
,a^ - ULI E
I
I l
E-
Math 182-Quiz 6 NAME:
Instructions : Show at least one step of your work (where ap .ate) for full credit.
1. Choose two of the following, then the third problem is extra credit.
(a) Verify that y = x sin(2x) is a solution of the differential equation y" +
Math 182-Quiz 1 NAME:
Instructions : Show at least one step of your work (where appropriate) for full credit.
1. Compute the volume of the solid obtained by rotating the region bounded by y = sin x
and y = 0 on the interval 0 < x < 7r about the x-axis.
A-