2) Drive the frequency responses of the following rotor system with Non-Symmetric Stator. The system contains both external and internal damping. Show that the system loses the reciprocity property.
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- Show that t, e^t, and sin(t) are linearly independent.Consider the Squirrel-Coyote system given by S' = 2S-4SC C' = SC-C (1) Sketch the nullclines of the system and label them (as S- or C-nullclines). Add arrows to each nullcline and each distinct region of the phase plane to indicate the direction of the vector field there. (No need to draw the whole vector field, just a single arrow to show direction in each significant place.)A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: Frequ 小。 24 24 25 21 20 15 12 10 10- 5000 5500 6000 6500 7000 7500 8000 Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are at least 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer. 0.67|
- A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: Relative frequency 0.3 0.25 0.25 0.22 0.2 0.12 0.1 0.1+ 0.06 5000 5500 6000 6500 7000 7500 Spin rate (in revolutions per minute) Based on this histogram, draw the ogive (the cumulative relative frequency polygon) for the spin rate data. Cumulative relative frequency 1 0.8 0.6 0.4 0.2 [0.00 [0.00 [0.00 [0.00 [0.00 0.00 0.00 5000 5500 6000 6500 7000 7500 8000Hi, I posted this previously but the work wasn’t properly attached. If you could help me out I would appreciate it! :)Let W be the work (against the Sun’s gravitational force) required to transport an 80-kg person from Earth to Mars when the two planets are aligned with the Sun at their minimal distance of 55.7 × 106 km. Use Newton’s Universal Law of Gravity (see Exercises 35–37 in Section 6.5) to expressW as an integral and evaluate it. The Sun has massMs = 1.99×1030 kg, and the distance from the Sun to Earth is 149.6×106 km.
- Find the matrix for a shear in the x-direction that transforms the triangle with vertices (0,0), (2,1) and (3,0) into a right triangle with the right angle at the origin.A professional golfer is shopping for a new brand of golf ball. She likes most of the features of one particular brand, but she wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates. Relative frequency 0.3. 0.2 0.10 0.1+ 0.09 0.0- 5000 5500 6000 0.24 0.24 0.22 6500 0.11 7000 7500 8000 Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer. ☐ XDetermine the kernel and the range of the linear operator on R': L(x) = (x1 + x3, X2, 0)