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Solve the following problems.
Suppose COVID-19, a pandemic that spread worldwide has infected 55,000 people on August 2021.
Each day, the number of infected is estimated to be 500. Assuming that the number of daily infections
are constant,
1. What is the monthly growth rate of infection k? Assume time t is measured in months.
2. How many persons will be confirmed positive by the end of December 2021?
3. Assuming that there has a turn of events and majority are vaccinated by September 2021. In
addition, the number of cases dropped with the number of recoveries at a rate of 100 per day.
There have been no additional cases after September. How much time t will elapse for the
cases of COVID-19 to drop to 200?

. A base line was measured to be 150 m long with a tape at a field temperature of 27°C, the applied pull being 14 kg. The tape was standardised at a temperature of 15°C with a pull of 8 kg. If the designated length of the tape is 20 m, weight of 1 cm of tape = 7.86 g, total weight of tape = 0.8 kg, E = 2.109 x 106 kg/cm² and coefficient of expansion of tape per degree Celsius 11.2 x 10°, find the true length of the line. (Ans. 150.0081 m)


Customer arrives at an internet center at the rate of one every 15+-5 minutes. 80% of the customers check simply their email inbox, while the remaining 20% download and upload files. An email customer spends 15+-2 minutes in the center and the download customer spends 15+-5 minutes. Simulate the service completion of 500 customers. Of this 500 customer, determine the no. of email and download customer and with the input percentage.


A simple Management software has to be built within 60 days of time in which simple user requirements are told by client. Which model will be best appropriate for developing this kind of software? 


if the slope of the line through (k, 5) and (1, 2k) is 8 find the value of k.


A point source of light is 6 ft. from the center of a sphere with a radius of 3 ft. Find surface area that is brightened.


Determine the radius of the spherical wedge whose volume 12 m3 with a central angle of 1.80 radians.


A closed right cylindrical tank with a height of 8 m and 3 m in diameter contains water to a depth of 5m. If the tank is laid in a horizontal position, find the depth of water.


The volume of a frustum of a rectangular pyramid is 79.17 m3 with an altitude of 5 m. If the upper base has dimensions of 2.50 m x 4.0 m, find the area of the lower base.


If two cylinders, both of radius 1m, intersect at right angles, Find the volume of the intersection.


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