5) Determine [x 2 L1 t = X = 3 -1 Z the values of the variables in the matrix equation. 4 [1 t -11 7 34 y X -3] u y 2 + U= y = Z= V= = 25 LO W - 2 5 W = v + 1 3 -1
5) Determine [x 2 L1 t = X = 3 -1 Z the values of the variables in the matrix equation. 4 [1 t -11 7 34 y X -3] u y 2 + U= y = Z= V= = 25 LO W - 2 5 W = v + 1 3 -1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![5) Determine the **values of the variables** in the matrix equation.
\[
\begin{bmatrix}
x & 3 & 4 \\
2 & -1 & y \\
1 & z & -3
\end{bmatrix}
+
\begin{bmatrix}
1 & t & -1 \\
3 & 4 & x \\
u & y & 2
\end{bmatrix}
=
\begin{bmatrix}
2 & 7 & v+1 \\
5 & w-2 & 3 \\
0 & 5 & -1
\end{bmatrix}
\]
\[
\begin{align*}
t = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\,\, & u = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, v = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, w = \,\,\,\,\,\, \_ \\
x = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, & y = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, z = \,\,\,\,\,\, \_ \\
\end{align*}
\]
---
6) The power in an electrical system varies jointly with the current and the square of the resistance. The power is 200 watts when current is 4 amps and resistance is 5 ohms.
a) Write the **variation equation** describing the relationship between the power (P), current (c), and resistance (r).
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]
b) Find the **constant of variation** or proportionality.
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]
c) Find the **power** when the current is 5 amps and the resistance is 6 ohms.
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d8e919-6c53-43b3-96c1-5f9438fdaf13%2F662faa9c-db16-424a-94ea-f07b4e5bee43%2Fl02pebo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5) Determine the **values of the variables** in the matrix equation.
\[
\begin{bmatrix}
x & 3 & 4 \\
2 & -1 & y \\
1 & z & -3
\end{bmatrix}
+
\begin{bmatrix}
1 & t & -1 \\
3 & 4 & x \\
u & y & 2
\end{bmatrix}
=
\begin{bmatrix}
2 & 7 & v+1 \\
5 & w-2 & 3 \\
0 & 5 & -1
\end{bmatrix}
\]
\[
\begin{align*}
t = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\,\, & u = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, v = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, w = \,\,\,\,\,\, \_ \\
x = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, & y = \,\,\,\,\,\, \_ \,\,\,\,\,\,\,\ \, z = \,\,\,\,\,\, \_ \\
\end{align*}
\]
---
6) The power in an electrical system varies jointly with the current and the square of the resistance. The power is 200 watts when current is 4 amps and resistance is 5 ohms.
a) Write the **variation equation** describing the relationship between the power (P), current (c), and resistance (r).
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]
b) Find the **constant of variation** or proportionality.
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]
c) Find the **power** when the current is 5 amps and the resistance is 6 ohms.
\[
\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}
\]
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