Question

a. Graph the function f(t) = 4u(t - 4) - u(t - 6) for $0 \le t < \infty$, where $u$ is the unit step function with a jump at 0, i.e. $u(t) = \begin{cases} 0, & t < 0 \\ 1, & t \ge 0 \end{cases}$ Use your graph to write this function piecewise as follows: $4u(t - 4) - u(t - 6) = \begin{cases} \Box & \text{if } 0 \le t < 4, \\\ \Box & \text{if } 4 \le t < 6, \\\ \Box & \text{if } 6 \le t < \infty. \end{cases}$ help (formulas) b. Evaluate f(5). f(5) = $\Box$ help (formulas)

          a. Graph the function
f(t) = 4u(t - 4) - u(t - 6)
for $0 \le t < \infty$, where $u$ is the unit step function with a jump at 0, i.e. $u(t) = \begin{cases} 0, & t < 0 \\ 1, & t \ge 0 \end{cases}$
Use your graph to write this function piecewise as follows:
$4u(t - 4) - u(t - 6) = \begin{cases} \Box & \text{if } 0 \le t < 4, \\\ \Box & \text{if } 4 \le t < 6, \\\ \Box & \text{if } 6 \le t < \infty. \end{cases}$
help (formulas)
b. Evaluate f(5).
f(5) = $\Box$ help (formulas)

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a. Graph the function
f(t) = 4u(t - 4) - u(t - 6)
for 0 ≤ t < ∞, where u is the unit step function with a jump at 0, i.e. u(t) = 0, t < 0
1, t ≥ 0
Use your graph to write this function piecewise as follows:
4u(t - 4) - u(t - 6) = if 0 ≤ t < 4,
if 4 ≤ t < 6,
if 6 ≤ t < ∞.
help (formulas)
b. Evaluate f(5).
f(5) = help (formulas)

Added by Brendan W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Kelan H

Step 1

To graph the function f(t) = 4u(t) - 4 - u(t-6), we need to consider the unit step function u(t) = 1 for t > 0. First, let's graph the function 4u(t). Since u(t) = 1 for t > 0, the graph of 4u(t) will be a horizontal line at y = 4 for t > 0. Show more…

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a. Graph the function f(t) = 4u(t) - 4 - u(t-6) 0 â‰¤ t < âˆž, where u is the unit step function with a jump at 0, i.e. u(t) = 1 for t > 0. Use your graph to write this function piecewise as follows: if 0 â‰¤ t < 4, f(t) = 4(t-4) - u(t-6) if t â‰¥ 4, f(t) = -4 - u(t-6) b. Evaluate f(5) f(5) = -4 - u(5-6)

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