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- Math Review (a) Solve the equation 7.20 103 m/s = (4.20 103 m/s) ln (Mi/Mf) for the fraction Mi/Mf. (b) If Mi = 2.65 104 kg, calculate Mf.The distance to the Sun is 93 miIlion miles. What is the distance to the Sun in the appropriate SI units?Problem 1.56Compute the line integral of v=6+yz²ŷ+ (3y+z) 2 along the triangular path shown in Fig. 1.49. Check your answer using Stokes' theorem. [Answer: 8/3]
- In this problem, I am suppose to manipulate the equation to find what r equals to. Thank you.9. A certain quantity, X, can be determined using X = AB – 2C. If A = 20.23 units, B = 11.000 units, and C = 0.095 units, express X with the proper number of significant figures and decimal places. * A. 222.34 B. 222.31 C. 222.3 D. 222 E. 2001%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
- 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.The continuity equation satisfied by u = 4xy+y?, v= 6xy+ 3y 10 u= 3x^2-2y^2, v=-6xy .II O u=x-4y, v=y-4x .IIIOA B с Supply the logic equation for the following numbered locations. Location 1: Location 2: Location 3: & Location 4: Notes: Use the following symbols: NOT for example AND for example OR for example XOR for example NOT X X AND Y X OR Y X XOR Y is X' is XY is X+Y is X(+)Y F
- Which of the following equations repreşents a power relationship? Select one: C =8+0.016 a. O b. N=14e0.01t O c. y = 3x-1 d. V =10t+3 %3D С. %3Dipa Suppose (p | ) = e¯. What is (x | b) =? V2nh 8 (x – x') 2nh Vasi 8 (x – x') 2πh 8 (x – x') O OI need the answer in number 7 with complete solution and units based on the given problem. Also do not round off and only round off in the final answer in 3 decimal places
