The volume of the hot-air balloon from the previous43- Tr If the radius is given by3problem is V(r)4the function r(t)-t°, find the volume V of the7balloon as it relates to time.V(t) =

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Answered: The volume of the hot-air balloon from…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Similar questions

The volume of water in a cylindrical water tank being drained can be modelled by the function v(t) = –3.8t + 225 where v represents the volume in litres and t represents the time in minutes. How long will it take for the volume to get to 0 L? Round your answer to the nearest minute.
y when x = 2 and y = 4. If 4x² + y² = 32 then evaluated (Answer accurate to two decimal places.)
The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?
A water tank initially contains 75 gallons of water, and begins draining water. The rate is given by r(t) -4 (t+1)2 gal/minute, where t is the time in minutes after the tank starts leaking. Let V (t) represent the volume (in gallons) of water in the tank at time t. a. Describe in words what the following expression means, in the context of this problem: V (0) + | r(t)dt b. If the water tank starts leaking at 9:00am, find the amount of water that leaks out of the tank between 9:08am and 9:15am. Round your answer to 2 decimal places. c. Use the net change theorem to find out how long it takes for the tank to fully empty. Give your answer to the nearest minute. -t(t -- 2)(t - 10) d. Suppose that it was raining while the tank is leaking, so water is also filling the tank as water drains out. If V'(t) = represents the rate of change of the t+1 water in the tank, set up (but do not solve) the integral that represents the total amount of change that the volume undergoes fromt = 0 to t = 7 e.…
Determine the value of t that maximizes the area above the x-axis and below the graph of the equation y = -t°x² + 9t

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The volume of the hot-air balloon from the previous 4 3 Tr If the radius is given by 3 problem is V(r) 4 the function r(t) -ť°, find the volume V of the 7 balloon as it relates to time. V(t)