assume a,b starts on the positive x-axis and

What would be the graph of a density function with an area of z > -1.5. *

Matrix presentation of ode
$\left(\begin{array}{c}{x}_1^{\text{'}}\\ x_2^{\text{'}}\end{array}\right)=\left(\begin{array}{cc}4& 1\\ 1& 3\end{array}\right)\begin{array}{c}{x}_1\\ x_2\end{array}$
Is it possible to write this ode in one equation ? write if it is possible.
How am I supposed to know this ?

How am I supposed to find the solution to the non-homogeneous ode ?
$\overrightarrow{Y}\text{'}=\left(\begin{array}{cc}-4& 2\\ 2& -1\end{array}\right)\overrightarrow{Y}+\left(\begin{array}{c}{x}^{-1}\\ 2x^{-1}+4\end{array}\right)$

How am I supposed to find the solution to the non-homogeneous ode ?
${\overrightarrow{Y}}^{\text{'}}=\left(\begin{array}{cc}-4& 2\\ 2& -1\end{array}\right)\overrightarrow{Y}+\left(\begin{array}{c}{x}^{-1}\\ 2x^{-1}+4\end{array}\right)$

Optimization Kronecker
Now I have to solve a optimization problem
$$\begin{gathered} u=\sum _{p=1}^P{h}_{1,p}\otimes h_{2,p}. \\ \underset{h_{1,p},h_{2,p}}{min}{u}^{T}Ru, \end{gathered}$$

with a iterative algorithm, where R is a correlation matrix.

A flexible balloon contains 0.375 mol$\mathrm{m}\mathrm{o}\mathrm{l}$ of an unknown polyatomic gas. Initially the balloon containing the gas has a volume of 7350 cm3$\mathrm{c}{\mathrm{m}}^3$ and a temperature of 22.0 ∘C${ }^{\circ }\mathrm{C}$. The gas first expands isobarically until the volume doubles. Then it expands adiabatically until the temperature returns to its initial value. Assume that the gas may be treated as an ideal gas with Cp=33.26J/mol⋅K$C_p=33.26\mathrm{J}/\mathrm{m}\mathrm{o}\mathrm{l}\cdot \mathrm{K}$ and γ=4/3$\gamma =4/3$.

What is the total heat Q$Q\text{Q}$ supplied to the gas in the process?

Determine whether each statement is true or false. If it is false, provide a counterexample.

1.If a quadrilateral is equilateral, then it is equiangular.

2. If a quadrilateral is equiangular, then it is equilateral.

3. Every isosceles triangle has at least one line of symmetry.

4. Every equilateral triangle has exactly three lines of symmetry.

5. If two angles are not congruent, then the two angles are not right.