In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable, g ( x ) = { x + 3 if x ≥ − 3 − ( x + 3 ) if x < − 3 a. g(0) b. g ( − 6 ) c. g ( − 3 )
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable, g ( x ) = { x + 3 if x ≥ − 3 − ( x + 3 ) if x < − 3 a. g(0) b. g ( − 6 ) c. g ( − 3 )
Solution Summary: The author calculates the value of g(0) in the piecewise function.
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable,
g
(
x
)
=
{
x
+
3
if
x
≥
−
3
−
(
x
+
3
)
if
x
<
−
3
a. g(0)
b.
g
(
−
6
)
c.
g
(
−
3
)
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
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