Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. The driver ofcar A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 125 km/h as it passes P, but over the next 5.4 seconds,the car uniformly accelerates to 151 km/h, after which that speed is maintained. At the moment when A passes P, the police car beginsto accelerate at the constant rate of 5.3 m/s² until a speed of 173 km/h is achieved, and that speed is then maintained. Determine thedistance s required for the police officer to overtake car A.Answer: s= i-VAChaPm

Given that car A is traveling at a location where the speed limit is 100 km/h. The police officer in…

Answered: Car A is traveling at a location where…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Enter the estimated y-value When analyzing the model y; = Bo + B1 * Xi + & where & E N(H,o) we got I Bo = (3.886, 7.102) and Ie1 = (2.666,4.562). Enter an estimate of y when x = 3 with at least 2 decimal places accuracy
An object with initial temperature 80°C is brought into a 18°C room. At noon the object's temperature was 70°c and 65°C half hour later. (a) When was the object brought into the room? (b) Find the average temperature of the object before 12:30 PM. That is, the average temperature over the time interval measured since the object was brought into the room until half past noon.
2. Write the equation of the normal line to the function: y = 6v2x – 1 at the point (2.5, 12). Express the equation in the form ax + by + c = 0
Suppose that T =f(t) gives the temperature T (in degrees Fahrenheit) of a pot of coffee t minutes after being brewed. If f '(20) = -3 and f(20) = 125, use a linear approximation (linearization) to estimate the coffee's temperature after 20.4 minutes.
MacBurger's is attempting to determine how many servers (or lines) should be available during the breakfast shift. During each hour, an average of 100 customers arrive at the restaurant. Each line or server can handle an average of 50 customers per hour. A server costs $5 per hour, and the cost of a customer waiting in line for 1 hour is $20. Assuming that an M/M/s/GD/infinity/infinity model is applicable, determine the number of lines that minimizes the sum of delay and service costs. please explain step by step.
Below table contains position-time data for a runner during the last 0.25 s of a 100 m sprint. Time (s) 9.73 9.78 9.83 9.88 Distance (m) 96.67 O b.-56 m*s-2 OC-16 m's-2 O d. 56 m*s-2 97.41 98.10 Use the finite difference equations on the equations sheet to solve. The runner's acceleration at 99.44 metres was: O a. 16 m*s-2 98.84 9.93 99.44 9.98 100
. At wind speeds above 1000 cm/sec, significant sand–moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long–term experience,  can be assumed to be 240 cm/sec Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION)(SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units)[final answer] Confidence Interval : _________________ < __________________ < __________________ (value with units) (correct symbol) (value with…
A researcher claims that a post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a post-lunch nap and when they did take a post-lunch nap. At a = 0.10, is there enough evidence to support the researcher's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Male 1 2 4 6 7 8 9 10 Sprint time (without nap) Sprint time (with nap) 4.07 3.95 3.95 4.04 4.02 | 4.09 4.06 3.96 3.95 3.93 3.92 3.86 3.88 3.97 4.01 4.00 3.90 3.82 3.86 3.80 A. t 1.383 C. t (c) Calculate d and sg. d= j = 0.1 (Round to three decimal places as needed.) Calculate sa. = 0.045 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t = 6.666 (Round to three decimal places as needed.) (e) Decide…

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