Evaluate the following functions at t = −1, 0, and +3 (assume u(0) = 1): (a) f (t) = tu(1 − t); (b) g(t) = 8 + 2u(2 − t); (c) h(t) = u(t + 1) − u(t − 1) + u(t + 2) − u(t − 4); (d) z(t) = 1 + u(3 − t) + u(t − 2).
(a)
Find the value of function
Answer to Problem 41E
The value of
Explanation of Solution
Given data:
Formula used:
Write a general expression to calculate the unit step function.
Calculation:
Substitute
Substitute
Substitute
The value of
Conclusion:
Thus, the value of
(b)
Find the value of function
Answer to Problem 41E
The value of function
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute
The value of
Conclusion:
Thus, the value of function
(c)
Find the value of function
Answer to Problem 41E
The value of function
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute
The value of
Conclusion:
Thus, the value of function
(d)
Find the value of function
Answer to Problem 41E
The value of function
Explanation of Solution
Given data:
Calculation:
Substitute
Substitute
Substitute
The value of
Conclusion:
Thus, the value of function
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Chapter 8 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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