Problem 42E

The function g(t) in (21) can be expressed in a more convenient form as follows:

(a)Show that for each n = 0, 1, 2, . . . ,

for nT < t < (n+1)T.

{Hint: Use the fact that 1 + x + x2+ . . .+ xn = (xn+1-1)/(x-1).]

(b) Let v = t-(n+1)T. Show that When nT < t < (n+1)T, then –T < v < 0 and

(c) Use the facts that the first term in (22) is periodic with period T and the second term is independent of n to sketch the graph of g(t) in (22) for α = 1 and T = 2

GEOG 5402 Land Use Geography Spring 2017 Notes 1 Darla’s reading tips Track unfamiliar vocabulary Write one sentence to describe each section Read once, skim twice Brainstorm big discussion questions READ ALL CHARTS, tables, etc. Read around the hard stuff Foley et al. article was cuttingedge article in 2005 grammar land use : adjective noun landuse change: adjectiveadjective noun (adjectival noun) class exercise #1 unfamiliar/noteworthy vocabulary urbanization urban "heat islands" degradation modification anthropogenic morbidity # sum