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michael salas

michael s.

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dentify at least one benefit and one cost to a bacterial cell undergoing sporulation.

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Write an equation containing only the variables p and x that describes when the break-even point occurs. px= 10,000 + 100x 4. (a) Solve the equation from Question 3 for x so that x is written as a function of p.

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A gas is compressed from an initial volume of 5.50 L to a final volume of 1.23 L by an external pressure of 1.00 atm. During the compression the gas releases 128 J of heat. What is the change in internal energy of the gas?

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Find the total equivalent inductance of the following circuit. 6 mH a 8 mH 5 mH 12 mH 8 mH 6 mH 4 mH b 10 mH 8 mH

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What is the systematic name of the product P of this chemical reaction? OH O HO\text{-}CH_2\text{-}CH\text{-}C\text{-}OH + KOH \longrightarrow P + H_2O

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Stability of Circular Orbits A planet is in orbital motion around the Sun under the influence of the gravita- tional force \vec{F} = -\frac{GMm}{r^2}\hat{r} (i) Write down the potential energy and the kinetic energy associated with the motion. Express the rotational kinetic energy in terms of the angular mo- mentum of the planet L. (Note - for this part you should not assume a circular orbit). (ii) Determine the radius of a circular orbit of the planet as a function of L, and show that this radius corresponds to a minimum in the effective potential U. (iii) Explain why the circular orbit is stable in the sense that a small radial nudge will only cause small radial oscillations. (iv) Show that the small radial oscillations have a frequency corresponding to the planet's orbital period.

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4. U.S tax law allows taxpayers to deposit $5500per year in tax-sheltered individual retirement account (IRAS). Assume an individual deposits $50,000 at the beginning and $5500 at the end of each year at a continuous interest rate 8%. Write a IVP that represents this problem and find the solution of the IVP. Also, find how long will it take to produce $1,000,000. (round your answer to nearest integer)

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Please show the complete details and the pictures of chart. In a simple vapor compression heat pump system uses R134a as a working fluid, the evaporator and condenser temperatures are 10 and 50C, respectively. If the superheating and sub cooling degrees are 10C for each process, determine for 1 kW condenser heat load, coefficient of performance and the Input power in kW. (10 Marks).

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2. Find the trigonometric Fourier series representation and sketch the amplitude and phase spectra for the given periodic signal. +\\ -6? 11-\n1 + ? 6? t-> Fig. 2 40 pts

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Find the value of x. Round your answer to the nearest tenth 10 x° 5 x =

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