Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
+ 
+ 
+ ... + 
+ ...
A. 
; 2
B. 
; 4
C. 
; 4
D. 
; 2
Answer: A
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In order to determine how American undergraduate college students feel about eliminating spring break in order to finish spring term a week early, a survey was conducted. Two hundred undergraduate students from the University of Miami (FL) were interviewed. Both of the interviewers hired to conduct the survey were told to interview 25 freshmen, 25 sophomores, 25 juniors, and 25 seniors. Of the 200 students interviewed, 20% were in favor of the elimination of spring break, 70% were opposed, and 10% had no opinion.The sampling proportion in this survey is
A. 200/(the number of American college students). B. 100%. C. 200/(the number of University of Miami, FL undergraduates). D. 20%. E. none of these
Find the equation of the tangent line to the curve when x has the given value.f(x) = x2 - 2 ; x = -4
A. y = -4x - 18 B. y = -8x - 18 C. y = -8x - 36 D. y = -8x - 34
Use power series to solve the differential equation.
y" - xy' = 0, y (0) = 6, y' (0) = 0
Consider the sequence an = 16n² - 64n + 56.
A. Find the first four terms of the sequence. B. Find a general term bn for a different sequence that has the same first three terms as the given sequence. Answers may vary.