As part of a chemical experiment, a scientist determines that the number sodium in a chemical solution can be approximated by the function N(t) = t³ 24t²350t +9338 (0 ≤ t ≤60) where N(t) is the number of milligrams of sodium and t is the time in minu Determine how long it will take for the amount of sodium in the solution minimized. Type your answer below round to the nearest tenth. It will take about minutes for the amount of sodium t minimized.

Q: A rock is launched vertically upward from the ground with a speed of 96 ft>s. Neglecting air…

A: Given that s(t)= -16t2 + 96t. a) the average velocity of the rock between t = 1 s and t = 3 s is:

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: The population of a city is described by the function P(t)=67,240(1.013)t, where t is the number of…

A: Explanation of the answer is as follows

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: Use T7(x; 2) to approximate In (0.9). Round to 4 decimal places.

A: The given function is fx=ln3-x.   The Taylor polynomial of degree 2 for a function fx at  point x=a…

Q: After t months on the job, a postal worker can sort L(t) = 700-400e-0.5t letters per hour. Determine…

A: Given : After t months on the job, a postal worker can sort L(t)=700-400e-0.5t letters per hour. To…

Q: The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site…

A: The Monthly sales S of baseball equipment fr an internet sporting goods site are approximated by…

Q: Use the diffecential equation dy= and the initial condition. y=(9)%3T. Fad funchion of 81.

A:

Q: rectangle storage area is to be constructed along the side of a tall building. A security fence is…

A: We will solve the problem

Q: The number of Rednwood pine trees per acre N(d) in a test plot can be approximated by the following…

A: Given information: Given that d ranges from 5 to 40. The number of Rednwood pine trees per care is N…

Q: Suppose you are going hiking and over the course of your trip, your velocity at time t hours is…

A: The time t is from 0 to 4 Because initial time = 0 hour after 4 hours, t=4