Complete the statement using <, >, or =. 6 oz ___ 170 g

Consider $\frac{d^{2} u}{d x^{2}}=f(x)$ with u(0) = 0 and u(L) = 0. (a) Using the centered difference approximation for the second derivative and dividing the length L into three equal mesh lengths, derive a system of linear equations for an approximation to u(x). Use the notation $x_{i}=i \Delta x, f_{i}=f\left(x_{i}\right),$ and $u_{i}=u\left(x_{i}\right).$ (Note: $x_{0}=0, x_{1}=\frac{1}{3} L, x_{2}=\frac{2}{3} L, \left.x_{3}=L .\right)$ (b) Write the system as a matrix system Au = f. What is A? (c) Solve for $u_{1}$ and $u_{2}.$ (d) Show that a “Green’s function” matrix G can be defined: $u_{i}=\sum_{j} G_{i j} f_{j} \quad(\boldsymbol{u}=\boldsymbol{G} \boldsymbol{f}).$ What is G? Show that it is symmetric, $G_{i j}=G_{j i}.$

Complete the square to write each function in

$$f ( x ) = a ( x - h ) ^ { 2 } + k$$

form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points and complete the graph.

$$f ( x ) = - 4 x ^ { 2 } + 16 x - 10$$

To complete the square of the expression $x^2+5 x$, you would _____ the number_____.

Complete the equation:

$$\sin ^2 \theta+\cos ^2 \theta=$$

Compare. Use >, <, or = to complete each statement. 0.96?1.32

Complete the statement using <, >, or =. 92% of 30 ____ 48% of 75

Test your guess by substituting $10$ and $11$ for $n$.

Complete the square to write each function in

$$f ( x ) = a ( x - h ) ^ { 2 } + k$$

form. Determine the vertex and the axis of symmetry of the graph of the function. Then plot several points and complete the graph.

$$f ( x ) = 3 x ^ { 2 } - 12 x + 9$$

Knowing that $T=7 \mathrm{kip}$-in. and that $G=5.6 \times 10^6 \mathrm{psi}$, determine for each of the cold-rolled yellow brass bars shown the maximum shearing stress and the angle of twist at end $B$.

Complete the sentences with the correct form of the verb haber.

Nosotros _______ permitido.

Find and correct errors in the use of parentheses and brackets. If a sentence is correct, write Correct.

The attorneys focused on three points: $1$ the critic's competence, $2$ the artist's reputation, and 3 the painting's value.

Spell correctly each of the following words, adding the prefix or suffix given.

EXAMPLES 1. un + known

1. unknown
2. happy + ness
3. happiness

thin + ness

Copy and complete the statement. If x/8 = y/9, then x + 8/8 = ?/?