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- 27. S Review. From the set of equations p = 3q pr = qs involving the unknowns p, q, r, s, and t, find the value of the ratio of t to r.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.1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. II
- If A = i+ 5j - kand B = -3i - 2j + 5k. Answer the following problems. 1. 2A +B 2. A- 28 3. A.B 4. AXB0.8 04 02 x/Z P2 P1 Using the half-depth rule, determine the z value for the horizontal cylinder in the figure above. Select one: O a. O b. 4 С. 0.2 d. 1.5L Review View sert Design Layout References Mailings Tell me what you want to do... AaBbCcI AaBbCcD AaBbCcI to 12 Á Á Aª- ◊ §·E·† Aa- - ALT - E abc X₂ X² Aay-A· ==== #· 2.E. 1 Normal TVS Table... 1 No Spac... Font Paragraph F Styles Measure the following quantities: • R- Range (at the location where projectile hits the ground) T-Flight Time (at the location where projectile hits the ground) • H - Maximum Height (at the peak of the projectile) Th-Time at Max Height (at the peak of the projectile) Max. Time to Launch Launch Speed Angle Range Flight R Time Height Max. 0 Tf H Height sin 0 (m/s) (s) (m) Th (degree s) (s) 25 17.57 1.29 0.58 0.1 15 35 21.55 0.81 0.1 Cos ( tan 0 17 M. P DE S
- P 1.4 Perform the following addition and subtraction problems with the following measured quantities. Assume ambiguous, place-holding zeros do not indicate a degree of precision.a. 8.45 g + 12 g + 459.01 g = 479 b. 323.98 g – 221.98 g = gc. 34.986 mL – 21 mL = mLd. 34,000 kg + 567 kg = kg = ge. 6.04 m + 91 cm + 45 mm = m = cmf. 6.04 m + 91 cm + 51 mm = m = mmP 1.6 Perform the following multiplication problems, reporting your answer with the correct number of significant figures.(a) (56.03 cm) x (1.000 cm) x (3518 cm) = cm3(b) (56.03 cm) x (1.00 cm) x (3518 cm) = cm3(c) (56.03 cm) x (1.0 cm) x (3518 cm) = cm3P 1.7 Perform the following multiplication and division problems with the following measured quantities. You cannot determine the number of significant figures in a number with ambiguous zeros and so there is no one correct answer for problems with ambiguous zeros.a. (7.34 cm) x (0.0045 cm) x (124 cm) = cm3b. 45.9 g 1.4 mL = g / mL c. 145 mg 0.01 cm3…The first length measured in a laboratory experiment is 2.5 ± 0.1 m and the second length is 3.4 ± 0.1 m.a. What is the sum of the lengths?b. What is the difference in the lengths?c. What is the percentage uncertainty in each a and b?1- Given a material for which xm = 3.1 and within which B = 0.4ya: T, find: vii. Jr
- A. Can we use statistical tools to quantify uncertainties? Explain. B. Which will give you a more accurate measurement, a ruler or a meter stick? Explain. C. Any measurement has an inherent uncertainty so that when you use it in calculation/s uncertainties will propagate to the result of your calculation/s. Do you agree? Explain your answer.A quantity Z depends on measured quantities A and B as VĀ B3 If the uncertainties in A and B are 8% and 1% respectively, what is the uncertainty in Z?Po = 25 uc/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. b- Draw V, Ē, IE with respect to y-axis. c- Now if p₂ = 0, give the solution and calculate V, Ē.