Engine emissions. The emissions of an engine are given by E ( t ) = 2 t 2 , where E ( t ) is the engine’s rate of emission, in billions of pollution particulates per year, at time t , in years. Find the average emissions from t = 1 to t = 5 .
Engine emissions. The emissions of an engine are given by E ( t ) = 2 t 2 , where E ( t ) is the engine’s rate of emission, in billions of pollution particulates per year, at time t , in years. Find the average emissions from t = 1 to t = 5 .
Solution Summary: The author calculates the average emissions from t=1tot =5 when emissions of an engine are given by E(t)=2
Engine emissions. The emissions of an engine are given by
E
(
t
)
=
2
t
2
,
where
E
(
t
)
is the engine’s rate of emission, in billions of pollution particulates per year, at time t, in years. Find the average emissions from
t
=
1
to
t
=
5
.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
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