-9x = 2

Rui Baldwin
2021-08-15
Answered

Find the slope of the line and simplify the answer.

-9x = 2

-9x = 2

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Malena

Answered 2021-08-16
Author has **83** answers

At the given condition:

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Find the linear approximation of the function

Use L(x) to approximate the numbers

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Write and explain the three forms of linear equations.

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Write the following linear differential equations with constant coefficients in the form of the linear system

Hint: Let

I have tried to do this in the following way but I do not know if I am doing well:

Let

and thus

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Consider a system of 2 linear equations in 3 variables.

Which of the following statements is possible?

a.The solution set of the system forms a line.

b.The system has 2 solutions.

c.The system has 1 (unique) solution.

d.The system has 3 solutions

Which of the following statements is possible?

a.The solution set of the system forms a line.

b.The system has 2 solutions.

c.The system has 1 (unique) solution.

d.The system has 3 solutions

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Do the equations

and

form a system of linear equations? Explain.

asked 2022-02-18

a) Find a weak formulation for the partial differential equation$\frac{\partial u}{\partial t\text{}}+c\frac{\partial u}{\partial x\text{}}=0$ b) Show that $u=f(x-ct)$ is a generalized solution of$\frac{\partial u}{\partial t\text{}}+c\frac{\partial u}{\partial x\text{}}=0$ for any distribution $f$ What i already haveI know that in order to find a weak form of a pde, we need to multiply it by a test function, then integrate it. Also, to find a generalized solution, we need to find a weak solution and just multiply it by the Heaviside function.Let's take any test function $\varphi $ , then we have (integrating by parts second part of the integral)${\int}_{\mathrm{\Omega}}(\frac{\partial u}{\partial t\text{}}+c\frac{\partial u}{\partial x\text{}})\ast \varphi (x)dx=$ $={\int}_{\mathrm{\Omega}}\frac{\partial u}{\partial t}\varphi (x)dx-c{\int}_{\mathrm{\Omega}}u(x,t){\varphi}^{\prime}(x)dx$ where $\varphi $ vanishes at boundaries. So, is it the final form or can we proceed further? And how am I supposed to find a generalized solution?

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Determine if (1,3)is a solution to given system of linear equations