11) Suppose that f is a solution of the differential equation y' + = 1 with f(1) = 1. Then f(2)= 3. a) True b) False

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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11) Suppose that f is a solution of the differential equation y' += 1 with f(1) = 1.
Then f(2)= 3.
a) True
b) False
12) Assume that y = f(x) is a solution of the differential equation y' = 30y - 15y² with
f(0) = 1. Then lim f(x) = ∞o.
I→∞
13)
a) True
b) False
n³+4n+1
n=1
a) True
b) False
converges.
14) If an diverges, then an diverges.
ẵ
n=1
a) True
b) False
a) True
b) False
n=1
15) If an+1 < an and lim an = 0, then Σ(-1)+1a, converges.
n→∞0
n=1
Transcribed Image Text:11) Suppose that f is a solution of the differential equation y' += 1 with f(1) = 1. Then f(2)= 3. a) True b) False 12) Assume that y = f(x) is a solution of the differential equation y' = 30y - 15y² with f(0) = 1. Then lim f(x) = ∞o. I→∞ 13) a) True b) False n³+4n+1 n=1 a) True b) False converges. 14) If an diverges, then an diverges. ẵ n=1 a) True b) False a) True b) False n=1 15) If an+1 < an and lim an = 0, then Σ(-1)+1a, converges. n→∞0 n=1
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