Numerade

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(3) Solve the wave equation $u_{tt} = c^2 u_{xx}$ for $x \in [0, 1]$ and initial conditions $u(x, 0) = 1 - \cos(2\pi x)$, $u_t(x, 0) = 0$, and boundary conditions $u(0, t) = u(1, t) = 0$.

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Solve the system by using the inverse of the coefficient matrix. $A^{-1} = \begin{bmatrix} -\frac{9}{29} & \frac{8}{29} \\ -\frac{7}{29} & \frac{3}{29} \end{bmatrix}$ $3x - 8y = -28$ $7x - 9y = -17$

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within the general population about -----of the people tested can taste PTC whereas the other -----can not. (a) 70%, 30%, (b) 30%, 70%, (c) 10%, 90%, (d ) 90%, 10%.

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A rectangular garden will be enclosed by 100m of fencing materials. Find the greatest possible area that the materials can enclose?

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BadRock Corp is evaluating a project with revenues that will be $1.5 million and cash expenses that will be $750,000, while depreciation expense will be $200,000 per year. What is the expected free cash flow per year from taking the project if the company's tax rate is 30 percent?

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31 If y-hat = 49x + 101, calculate y-hat when x = 5. 32 If y-hat = 2,300 = 230x - 230, calculate x 33 If y-hat = 50,000 - 300 $x_1$ + 200 $x_2$ + 100 $x_3$, calculate y-hat when $x_1$= 11, $x_2$= 13, $x_3$ = 15 34 If y-hat = 64,000 - 105 $x_1$ + 124$x_2$, calculate y-hat when $x_1$=110, $x_2$=140 35 If the COD is .64, what does that mean?

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2. One thousand cubic meters per hour of a gas containing 45% zinc vapor and 3% lead vapor at 1500°C and 1.3 atm absolute pressure are input to a condenser, which removes all the metal vapor from the gas phase. Because molten lead and zinc are largely immiscible, two liquids form - liquid lead containing 1.8% zinc, and liquid zinc containing 1.5% lead. How many kilograms of each liquid alloy are generated per hour? $MW_{Zn} = 65.39 \frac{g}{mol}$ $MW_{Pb} = 207.2 \frac{g}{mol}$

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6 kN/m A B 3 kN/m -1.5 m 3 m 1.5 m Prob. F4-37 F4-38. Determine the resultant force and specify where it acts on the beam measured from A. A 6 ft Prob. F4-38 8 ft 150 lb/ft B F4-39. Determine the resultant force and specify where it acts on the beam measured from A.

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Find the characteristic equation of the matrix by inspection. $\begin{bmatrix} 7 & -7 & 6 & 2 \ 0 & -6 & 0 & 0 \ 0 & 0 & 9 & 0 \ 0 & 0 & 0 & 6 \end{bmatrix}$ The characteristic equation is $\lambda^4 - 16\lambda^3 - 54\lambda^2 + 594\lambda - 151 = 0$

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leslie w.