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- Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.Please help, I don't know where I'm wrong with my work. Final answer must be in μV.Additional Info: ∫ vdP is integral of volume with respect to Pressure ∫ pdV is integral of pressure with respect to Volume. Please give solutions to the given questions in the problem.
- Problem 1 Use the properties of Gamma functions to solve these expressions by hand. a program such as a T[ ] × [4] b C 3 — 92 xr 5 9 T[-2] × [2] Г xr 4 4Ideal gases are often studied at standard ambient temperature and pressure (SATP). The International Union of Pure and Applied Chemistry (IUPAC) defines SATP to be T = 25° C and P = 100 kPa. a. Calculate N/V (in particles per cubic meter) for an ideal gas at SATP b. How many atoms of an ideal gas at SATP are there in one cubic centimeter?1. Convert 1.35 x 10° km² to Liters Answ: 1.35 x10" liters 2. Convert 30 ug / f° to kg/m³ NB: (Ift = 12 inches, 1 inch = 2.54 cm) Answ: 1.06 x 10* kg/m² 3. An average human has a life expectancy of about 2 x 10° seconds (70 years). If a human's heart rate is 80 beats / min, determine the total number of beats a human would make in such a life time? Answ: 3 G beats 4. A typical atom has a diameter of 1.0 Å, approximately how many of this atoms would fit on a 1.0 cm line. ( 1 Å = 10" m ) Answ: 0.01μ αtom 5. A certain liquid has a density of 0.789 g / cm³. What volume in cubic mm should be poured into a graduated cylinder to give a mass of 19.8 g? Answ: 2.51 x 10 mm² 6. A fish tank has dimensions of 20 inch x 20 inch x 10 inch. What's the maximum volume of water, in millilitres, it can hold? Answ: 6.555 x10ʻ m L 7. Calculate these numbers and express your answer in the correct decimal or significant numbers. 0.0065 x 3.21 + 0.0911 Answ: No hint,.. duh O 8. A space object orbits the earth…
- I'm trying to convert m/s to square root C x V / kg and I need specifics.If ρE = 15 μC/m3 and R1=1/2*R2=1/3*R3= 5.0 cm, plot E as a function of R from R = 0 to R = 20.0 cm. Assume the cylinders are very long compared to R3. Sketch the graph.mgh = 1 mv ₁ ² 2 Duph FAST 2 m = 1.00 kg 9 = 9.80 m/s² V₁ = 11 m/s ² 2 08.P Solve for hieght (h) MUN TIE
- The experimental value of the mass density of the sphere is 8.35g/cm^3. The accepted mass density is 7.87 g/cm^3. What is the percent error compared to the true value of the mass density? * O 42 O 6.1 O 4.2% 5.75%83184kg = 199.7 mg ball-bearing with arcum ference of 26.1 mm wegs 200mg Circumference of a circle = 2nr)? what is the density of the steel in g/cm³ (u of sphere = 4133 A steel 200mg Ⓡ Deng S (mm) Density = D = Di2g 3 D= masse lume S 062994 cm³ 0.66800267 v=4/7| (4:16mm)³_290-4mm 3 mm³ cm Convert + Tr = 4 tr ² 3 0 C = 2115 C = R 211 2994mm² (1 cm )3 26.1mm = 4.16mm 2 x 3.14 10 mm)³ mg-> conuert 200mg 1000g DRAA 0.2Po = 25 μc/m³ is distributed uniformly through a certain region. If V = 50 at y = 2 and V= 90 at y = 5, &, = 2. a- Give the solution and calculate V, E.