(1 point) Book Problem 35 Consider the function f(z)- For the following question
ID: 292096 • Letter: #
Question
(1 point) Book Problem 35 Consider the function f(z)- For the following questions, write inf for oo,-int for -oo, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f' (z) = b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.) f(x) has a local maximum at f.) f(x) is concave up on the interval(s) g.) f(x) concave down on the interval(s) mj f(z) has a horizontal asymptote y = i.) f(z) has 2 vertical asymptotes - (Enter both values separated by a comma)Explanation / Answer
35
a 2x/(x^2-9) -2x^3/(x^2-9)^2
b - inf to 0
c 0 to inf
d x = 0
e 54(x2+3)/(x2?9)3
f -in to -3 and 3 to inf
g -3 to 3
h y = 0
i 3,-3
40
3e^x/(e^x+3)^2
a - in f to inf
b NA
c NA
d NA
e ?3(e^x?3)e^x/(e^x+3)^3
f - inf to 1.099
g 1.099 to inf
h 1.099
49
derivative = 3ax2 + 2cx = 0 at x = 0 and 3ax = -2c thus x = -2c/(3a)
f 0 = d = 6
-2c/3a = -3
c = 4.5 a
-8/27*c^3/a^2+ 4/9c^3/a^2+6 = 10
4/27c^3/a^2 = 4
4.5^3/27a = 1
a = 3.375
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