In Problems 21-28 , determine whether f ( t ) is continuous, piecewise continuous, or neither on [ 0 , 10 ] and sketch the graph of f ( t ) . f ( t ) = { 1 , 0 ≤ t < 1 , t − 1 , 1 < t < 3 , t 2 − 4 , 3 < t ≤ 10
In Problems 21-28 , determine whether f ( t ) is continuous, piecewise continuous, or neither on [ 0 , 10 ] and sketch the graph of f ( t ) . f ( t ) = { 1 , 0 ≤ t < 1 , t − 1 , 1 < t < 3 , t 2 − 4 , 3 < t ≤ 10
Solution Summary: The author explains that the function f(t) is continuous, piecewise continuous and graphed.
B. The graph of f(x) is given by
(-14)
(1,4)
(-1,–2)
(5,-2)
(3, -4)
(4, 5)
Determine is f is continuous at x = c.
(a) x = -4
(c) x = 1
(e) x = 5
(b) x = -1
(d) z 3
8. Determine which of the following functions are one-to-one.
(a) gi: {1, 2, 3, 4, 5} → {a, b, c, d, e}; 91(1) = b, g1(2) = b, g1(3) = b, g1 (4) = a, g1 (5) = d
(b) g2: {1,2, 3, 4, 5} → {a,b, c, d, e}; 92(1) = d, g2(2) = b, g2(3) = e, g2(4) = a, g2(5) = c
(c) 93:N→ N; g3(n) = { (n + 1)/2 if n is odd
if n is even
(n/2
Sn +1 if n is odd
În – 1 if n is even
(d) g4:N → N; g4(n)
Prove the following
Chapter 7 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
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