(a) For hest performance, which unit should he driven by the antenna? (b) What is the noise figure of the best cascade?
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- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
- What is the y -intercept on the graph of the logistic model given in the previous exercise?b) Data was collected on 344 corporate executives to find out the effect of MBA degree and work experience on their salary. The following model was estimated: Y; = 2.3501 + 3.6306D, – 2.6354 D2i + 0.8527 X; + 1.634 (D, * X); t = (1.263) (2.1805) (- 3.457) (7.605) (2.98) R? = 0.8968 Y: Annual Income in Lakhs of Rupees Di and D2 are MBA and gender dummies respectively X: Work experience in years DI = 1 if one has MBA degree = 0 otherwise D2 = 1 for a female executive = 0 for a male executive i. Write the regression equations for female MBA executives and male MBA executives separately. ii. Find the mean income level for the reference category and interpret it. iii. Test the statistical significance of differential intercept coefficient between female MBA executives and Male MBA executives at 5% level of significance. iv. Interpret the coefficient of Di*Xi. v. Now suppose out of this sample of 344 executives, 48 are female MBA executives and 156 are male MBA executives. To find out the…(4) pår dr.
- In a study conducted at Dartmouth College, mice with a particular type of cancerous tumor were treated with a chemotherapy drug called Cisplatin. If the volume of one of these tumors at the time of treatment is Vo, then the volume of the tumor t days after treatment is modeled by the function V(t) = = Vo(0.99e- + 0.01e0.239t). -0.1216t 1. Set Vo = 3 and plot V(t) over the interval 0 ≤ t ≤ 16. Appropriately adjust the viewing window to see the behavior of V(t) and sketch the graph below. 2. From the graph, estimate the time at which the volume of the tumor decreased to half its original amount. There are two such times, record each to the nearest whole number. 3. With Vo = 3, write down the equation whose solution gives the time at which the tumor is half its original volume. (Re)write the equation with zero in the right-hand side. 4. Using one of your answers from 2. as to and your equation from 3., apply two steps of Newton's method to better approximate this time. (Round to 3 decimal…i need the answer quicklyThe longitude, rt of an air plane is affected by a random component e, due to the wind effect and its speed t It = -1 + 20t-1 + 6t. The speed of the plane is affected by a constant global linear trend, ß = B₁-1 = 3, and varies randomly due to weather conditions, v₁ = V₁-1 + B₁-1+w₂. In the above equations, is assumed to be white Gaussian noise with zero mean and o = 3. Similarly w is assumed to be white Gaussian noise with zero mean and 2,=0.5. A GPS transmitter mounted on the plane sends a noisy measurement to a receiver about its position, X₁ = 0.5xt + nt, where n, is assumed to be white Gaussian noise with zero mean and o2 = 2. (a) Using the following definition for the state vector, 0t. 0₁ It + ve B₂ write the motion of the plane in state space form. Note: You need to provide the exact form of the h, G and W matrices. (b) Evaluate the initial estimate for the state vector 03-
- Have you ever been on an airplane and heard the pilot say that the plane would be a little late because it would be flying into a strong headwind or that even though the plane was taking off a bit late, you would be making up time because you would be flying with a tailwind? This problem asks you to analyze such a situation. You have the following data: A plane flying at its maximum speed can go 230 miles per hour with a tailwind or 150 miles per hour into a headwind. What is the wind speed (in miles per hour)? What would be the maximum speed of the plane (in miles per hour) if there were no wind?When we take measurements of the same general type, a power law of the form y = ax often gives an excellent fit to the data. A lot of research has been conducted as to why power laws work so well in business, economics, biology, ecology, medicine, engineering, social science, and so on. Let us just say that if you do not have a good straight-line fit to data pairs (x, ý), and the scatter plot does not rise dramatically (as in exponential growth), then a power law is often a good choice. College algebra can-be used to show that power law models become linear when we apply logarithmic transformations to both variables. To see how this is done, please read on. Note: For power law models, we assume all x > 0 and all y > 0. Suppose we have data pairs (x, y) and we want to find constants a and ß such that y = ax is a good fit to the data. First, make the logarithmic transformations x' = log (x) and y' = log (y). Next, use the (x', y') data pairs and a calculator with linear.regression keys…I need the answer as soon as possible