gonzales (pag757) HW 08 Odell (57000) This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points Determine a so that the vector u = 6, 5
1
is a linear combina
gonzales (pag757) HW 01 Odell (57000) This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 Determine if
x 1
1
A. B. C.
x1
lim F (x)g (x) ; g ( x) ; G(x) f ( x) ; g
gonzales (pag757) H06: Geometries McCord (53130) This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 004 (part 1 of 2) 10.0 points
1
Draw the Lewis str
gonzales (pag757) HW 04 Odell (57000) This print-out should have 26 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points
n=0
1 10.0 points
002
Determine whether the series
(2)2n (2n)
gonzales (pag757) HW 06 Odell (57000) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points
1
Find a Cartesian equation for the curve given in parametric
gonzales (pag757) HW 09 Odell (57000) This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points z 4.
1
Which of the following surfaces is the graph of 4x + 6
Series Strategies and Tests for Convergence
Test Name
Known Series Geometric
When to Use
When you recognize that the terms are a constant raised to some power
Details
a converges to if r < 1 1 r arn n =0 diverges if r > 1 converges when p > 1 1 np n =1 di
gonzales (pag757) HW 07 Odell (57000) This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points For then the points P 2, 2 , 3 Q 3, Q: 1 2 R: R 2, 1 , 3
1
co
gonzales (pag757) HW 02 Odell (57000) This print-out should have 33 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 If
n
1
3. limit = ln 4 3 5 3 5. limit = ln 2 Explanation: After division
gonzales (pag757) HW 03 Odell (57000) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 1. B but not A 2. A but not B 3. neither A nor B 4. A and B 0
12.8. Power Series
Find the radius of convergence and interval of convergence of the series.
10.
n=1
xn n3n xn , then n3n
solution: If an =
xn+1 n3n xn |x| n |x| an+1 |= lim | |= lim | |= lim = . lim | n (n + 1)3n+1 xn n (n + 1)3 n n + 1 n an 3 3 |x| By t
1 EXAM 2 REVIEW 1. Determine the indenite integral I = 2. Determine the indenite integral I =
/3
sin6 (3x) dx. 9e6t e12t dt. ln(tan x) dx. sin x cos x 3x2 2 dx. x2 2x 8 1 dx. x+1+ x
3. Evaluate the denite integral I =
/4
4. Determine the indenite integra
Analysis
Sheet 1
Most of the questions on this sheet are on material introduced in the Moderations syllabus: complex numbers, equations of circles and lines in the complex plane, Mbius transformations, uniform convergence of o series of functions and conv