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The boundary of a lamina consists of the semicircles $y = \sqrt{1 - x^2}$ and $y = \sqrt{9 - x^2}$ together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin. $(\bar{x}, \bar{y}) = (\boxed{\phantom{0}}, \boxed{\phantom{0}})$ Need Help? Read It Watch It

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you expect a stock to pay $10 per year for 10 years, followed by no other cash flows. you want a return of 6%. the fair price is

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Which of the following solutions is acidic? [OH$^-$] = 1.0 \times 10^{-7} M [OH$^-$] > 1.0 \times 10^{-7} M [OH$^-$] = 1.0 \times 10^{-10} M [H$_3$O$^+$] = 1.0 \times 10^{-10} M [H$_3$O$^+$] < 1.0 \times 10^{-7} M

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note for $17,000. What is the principal amount of the hote? (Round your answer to the nearest dollar) A $17.000 8. $17.567 C. $10,433 D. $19.040

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list all possible rational roots and then factor completely as much as rational numbers allow 21x^3-66x^2+44x-5

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What are the ethical issues associated with euthanasia and end of life decisions?

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Find (if possible) a. AB and b. BA, if $A = \begin{bmatrix} 1 & 2 & 3 & 4 \end{bmatrix}$ and $B = \begin{bmatrix} 5 \ 6 \ 7 \ 8 \end{bmatrix}$

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Low Pressure Recycle Gas (NH$_3$, CO$_2$) High Pressure Recycle Solution (NH$_4$COONH$_2$, NH$_3$ CO$_2$, H$_2$O) Reactor 185°C 180 atms Steam Cooling H$_2$O M NH$_3$ (3-5 mols) CO$_2$ (4 mols) Steam Flash Evaporator 140°C 27 atms. Condensate M Flash Drum 1 atms. Steam Vacuum Evap. 135°C 99% 80% Aqueous Urea Molten Urea NH$_3$ CO$_2$ ) Off-Gases To NH$_3$ By-Product Usage (e.g. NH$_4$NO$_3$...) Prilling Tower Air

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(5 points) One end of a stretched string (tension $T$ and mass density $\mu$) is moved transversely at constant velocity $u_y$ for a time $\tau$, and is moved back to its starting point with velocity $-u_y$ during the next interval $\tau$. As a result, a triangular pulse is set up on the string and moves along it with speed $v$. Calculate the kinetic and potential energies associated with the pulse, and show that their sum is equal to the total work done by the transverse force that has to be applied at the end of the string.

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Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers or fractions for any numbers in the equation.)

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gabrielle o.