Let f be defined by the function f(x) = 1/(x^2+9) (a) Evaluate the improper integral or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)

Let's assume

x be the number of loads by land carriers

y be the number of loads by air carriers

so, maximum number of loads can be 150

total number of loads =(the number of loads by land carriers)+(the number of loads by air carriers)

so, we get

the mail is sent via ground in air each land carrier takes 2000 pieces per load

so, total number of pieces by land =2000x

each air carrier takes 1500 pieces per load the

so, total number of pieces by air =1500y

total number of pieces = (total number of pieces by land)+(total number of pieces by air)

now, we can plug values

total number of pieces =2000x+1500y

A mail distribution center processes as many as 175000 pieces of mail each day

so, we get

so, we get system of inequality as

................Answer