Demystify Equations, Expressions, and Inequalitie with Expert Help

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Equations, expressions, and inequalitie

Recent questions in Equations, expressions, and inequalitie

Oberhangaps5z 2022-04-10

In my PDE class we are following Evans PDE book, we were reading about Regularity of weak solutions for Hyperbolic equations, more specific in the proof theorem 5 section 7.2.3., the author states that we have
$\frac{d}{d t} (‖ {\tilde{u}}_{m}^{^{'}} ‖_{L^{2} (U)}^{2} + A [{\tilde{u}}_{m}, {\tilde{u}}_{m}]) \leq C (‖ {\tilde{u}}_{m}^{^{'}} ‖_{L^{2} (U)}^{2} + A [{\tilde{u}}_{m}, {\tilde{u}}_{m}] + ‖ f^{^{'}} ‖_{L^{2} (U)}^{2})$
where ${\tilde{u}}_{m} = u_{m}^{^{'}}$ , also the estimate
$‖ u_{m} ‖_{H^{2} (U)}^{2} \leq C (‖ f ‖_{L^{2} (U)}^{2} + ‖ u_{m}^{^{″}} ‖_{L^{2} (U)}^{2} + ‖ u_{m} ‖_{L^{2} (U)}^{2})$
Evans says that using this last inequality in the first and aplying Gronwall's Inequality we deduce that
$sup_{0 \leq t \leq T} (‖ u_{m} (t) ‖_{H^{2} (U)}^{2} + ‖ u_{m}^{^{'}} (t) ‖_{H^{1} (U)}^{2} + ‖ u_{m}^{^{″}} (t) ‖_{L^{2} (U)}^{2}) \leq C (‖ f ‖_{H^{1} (0, T; L^{2} (U))}^{2} + ‖ g ‖_{H^{2} (U)}^{2} + ‖ h ‖_{H^{1} (U)}^{2})$
My problem is that I don't understand how this last expression is obtained, can anyone help me?

Deshawn Cabrera 2022-04-10

How do you solve $d^{2} + 27 d = 0$ ?

Sebastian Fox 2022-04-08

What is the equation of the line that passesthrough the point $(- 6, - 6)$ and has aslope of $\frac{2}{3}$ ?

Reagan Gomez 2022-04-08

The polynomial expression is given as shown below.
$2 x^{2} - 4 x + 6$
- Evaluate the expression
- Write your answer in simplest radical form.
$x = \frac{3}{\sqrt{2}}$

Jayleen Aguirre 2022-04-05

Factorize
(a) $m^{2} - 7 m n + 6 n^{2}$ ,
(b) $m^{2} - 7 m n + 6 n^{2} + 5 n - 30 n$ .

Deegan Chase 2022-04-04

Evaluate $2 x + y$ for $x = 2$ and $y = - 5$

Dominique Pace 2022-04-03

Evaluate $9 x + 5 y$ for $x = 5$ and $y = 3$ .

acidizihvzs 2022-04-02

Evalute $2 x + y$ for $x = 2$ and $y = - 5$

Sage Fry 2022-04-02

$y = 4 x + 1$
$3 x + 2 y = 13$

Rowan Callahan 2022-04-01

$y = 4.1 x + 2$ and $2 y = 4.1 x + 2$

smaakt4ucq 2022-03-31

$2 x + 2 y = 174 x - y = 25$ What is the X - value of the solution to the system of equations

Nathanael Hansen 2022-03-29

$\frac{11}{16} (x) - \frac{11}{16} = x$
Solve for x

svrstanojpkqx 2022-03-29

Translate the following into vertical expression.
1. 30+5
2. 3n=15
3. s^2-16
4. 22-1=6
5. 144=121

Kason Palmer 2022-03-28

Convet the following equation into slope intercept form.
$3 x - 5 y = 20$

jncuenodd4nf 2022-03-28

$f (x) = 7 x + 9$ , $g (x) = 4 x - 1$ ; Find $(f - g) (x) .$

encaderpwp 2022-03-28

$\log_{3} (\frac{x^{9} y^{8}}{7})$
A) $9 \log_{3} (x) + 8 \log_{3} (y) - \log_{3} (7)$
B) $9 \log_{3} (x) - 8 \log_{3} (y) - \log_{3} (7)$
C) $(9 \log_{3} (x)) (8 \log_{3} (y)) - \log_{3} (7)$
D) $9 \log_{3} (x) + 8 \log_{3} (y) - \log_{3} (7)$

Litzy Wallace 2022-03-28

$(x^{3} + 4 x + 1) - (6 x^{3} + 3 x + 5)$

talpajocotefnf3 2022-03-25

Decide which of the following products is easiestto find using the difference of two squares.Solve, showing how you used it and explain whyyou chose the expression, over the other three
$17 \times 27$
$342 \times 318$
$74 \times 86$
$621 \times 80$

Contrary to a popular belief, equation in math also contains things like inequalities and expressions that require logic and verbal explanations. This is where equation help becomes useful as you look at the answers below. See equation problems submitted by students like you and explore the answers. It will help you to understand the logic as you approach equation algebra and study expressions examples. These are not as complex as they may seem once you learn how to connect expressions and equations and understand them as a finite combination of symbols, depending on use.

Pre-Algebra