The number of Corona virus cases in a specific country is approximated by the function P(t) = 5.3e-0.0851²+0.75t, with t in months since March 2020. Use a number line to determine when the number of cases started to decrease?

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A: answer is in next step

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A: The explanation of the solution as follows:

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Q: he amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with…

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A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

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Q: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 780…

A: Given :  Cost function :  C ( x ) = 780 + 35 x - 0.063x2  Find the rate at which average cost is…

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: The given function for the revenue from sale of x no. of car seats for infants is R(x)=28x-0.010x2…

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The us population can be modeled by the function y=165.6x^1.345 where y is in thousands and x is the…

A: The US population is modeled by the function, y=165.6x1.345 where y is in thousands and x is the…

Q: A factory machine was purchased for $45,000 and has an estimated lifetime of 8 years. If the scrap…

A: Solution:   Initial Value = 45000 Final Value =  3000 rate of depreciation = r t = Time period = 8…

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.067…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A: "Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

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Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

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Q: find the average rate of change f(x)=8x^2-2 on the interval [5,a]

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Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: If a baseball is projected upward from ground level with an initial velocity of 32 feet per​…

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Q: Find a power function of the form y = axp going through the points (1, 6) and (8, 252). (Round your…

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Q: The annual amount of energy produced in a country from dry natural gas (in tnillion cubic feet) can…

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval (3, b]. Your answer will be an…

A: Finding the average rate of a function in a given interval

Q: The number of banks in a country for the years 1935 through 2009 is given by the following function.…

A: The given function,f(x)=83.2x+12,362if x<90-376.3x+48,682if x≥90, where x is the number of years…

Q: A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off i ground. If the hamster…

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Q: On the basis of data for the years 1911 through 1991, the expected life span of people in a country…

A: First find the number of years x from 1908 to date of birth of the person 1966 than put that x in…

Q: If a baseball is projected upward from ground level with an initial velocity of 64 feet per second,…

A: Consider the provided function.

Q: The number of banks in a country for the years 1935 through 2009 is given by the following function.…

A: fx = 81.7 x +12,368     ,       x < 90-376.5 x + 46,681 :     x ≥ 90                   x is…

Q: y = ln (7x³ + 5)* 4

A:

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 2100t + 1500 votes per…

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Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: On the basis of data for the years 1911 through 1994, the expected life span of people in a country…

A: f(x) = 12.469 lnx +17.128x is the number of years from 1906 to person's birth year.expexted life…

Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Let L(x) be the linearization of the cube root function at x=64. When using L(x) to approximate the…

A: The linearization L(x) for tge function f(x) at x =a is given as L(x) = f'(a) (x-a) + f(a)

Q: Find the average rate of change of f(x) = 3x2 - 5x from 1 to 3.

A: Given to evaluate the average rate of change of f(x) = 3x2 - 5x from 1 to 3.

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

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Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: In 2010, the population of the United States was approximately 310 million with a 0.97% annual…

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Q: Find a power function of the form y = axp going through the points (1, 5) and (6, 550). (Round your…

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