Go to page 125 for the analysis question. Determine whether the given improper integral converges or diverges, and calculate its value if it converges. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Include detailed reasoning.

Imagine an island with a starting population of 100 individuals. 1 of those is infected with a deadly disease. Once infected, this disease will kill an individual in 5 days. Calculate the removal rate (γ), then using the removal rate, calculate what value of a will result in an epidemic. Please use google sheets

A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed, themean time to repair is 2.5 days (the repair rate is constant). What is the point availability at the end of the 2 days?

Find the lengthof the curve 」 9メ d S16 3_ %3D

A motorist starts braking for a stop sign. After t seconds, the distance, inmetres, from the front of the car to the sign is s(t) = 62 - 16t + t^2.a. How far was the front of the car from the sign when the driver startedbraking?b. Does the car go beyond the stop sign before stopping?c. Explain why it is unlikely that the car would hit another vehicle that istravelling perpendicular to the motorist's road when the car first comes toa stop at the intersection.

The altitude h (in ft) of a jet that goes into a dive and then again turns upward is given byh = 16t^3 − 240t^2 + 10, 000, where t is the time (in s) of the dive and turn. What is the minimum altitude that the jet reaches during the dive and turn? Use calculus methods to solve this problem, and include units with your answer.

Please help with #6. Thank you!!

y = In( sech2x)

I need help solving this equation

The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by D = 4200(3), where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 4. Write your answer in complete sentence form and include correct units.