2. Consider the population of bacteria described earlier. This population grows according to the function f(t) = 200eº02t, where t is measured in minutes. A. How many bacteria are present in the population after 5hours ( 300 minutes)? B. When does the population reach 100,000 bacteria?

Q: .Suppose that for a certain disease the cumulative number of deaths is given by 7.8 C(t) = ,…

A:

Q: If an archer shoots an arrow straight upward with an initial velocity of 160ft/sec from a height of…

A: If the arrow reaches the ground then h(t)=0…

Q: An equipment currently worth $15,549 is expected to be worth $12,704 in 5 years. Assuming linear…

A: Here, given that the equipment is currently worth $15,549 and is expected to be worth $12,704 in 5…

Q: Consider the following function. f(x) = −x2 − 6x − 6 Find its average rate of change over the…

A: Solution : According to the question,     The average rate of change of the function f(x) over an…

Q: 2. The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

A:

Q: - Which of the following functions grow faster than In x as x→ o0o? Which grow at the same rate as…

A: Derivative of a function determines the change of variable with respect to another variable. Whereas…

Q: 2. A population of birds (in millions) t years from now is estimated by the following P (t) =…

A: Please see the answer below.

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: Find the total income produced by a continuous income stream in the first 10 years if the rate of…

A:

Q: If the population (in millions) of a country as a function of time (in years) is P(t) = 10 · 2kt,…

A:

Q: A team of medical researchers determined that t days after the epidemic started N(?) = 10t^3 + 5t…

A:

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total income over first 8 year is:-

Q: Given the function f(x) = 3x/3, which of the following is a valid formula for the instantaneous rate…

A: Recall: Instantaneous rate of change of f at x=a :          limh→0f(a+h)-f(a)h

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

A:

Q: If L(x)=mx+b is the linearization of the principal square root function of x at x=900, then b= Use…

A:

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x)…

A: The given function is

Q: 3. Which of the following functions grow faster than x as x –→∞? Which grow at the same rate as x2?…

A:

Q: 2. Consider a population of bacteria that grows according to the function f(t)=500e^0.05t , where t…

A:

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

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1     →both function are growing with the same…

Q: 8. Order the following functions from slowest growing to fastest growing as x→∞. a. 2* c. (In2)* b.…

A:

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: In a certain city, the normal average temperature (in degrees Farenheit) is modeled by the function…

A:

Q: The farm population has declined dramatically in the years since World War II, and with that…

A: Given: C = 743 − 0.402n + 0.00012n2 where,  C=per pupil cost n= the number of pupils enrolled To…

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: It has been estimated that the total production of oil from a certain oil well is given by T(t) =…

A:

Q: 5. Consider the population of bacteria grows according to the function f(t) 200e0.02t, where t is…

A: The solution of the problem is given in the next steps.

Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t)…

A:

Q: Suppose the depth of water in the lake at time t is given by h(t) = 5 -1/3t What is the average…

A:

Q: A mass of 100 grams of a particular radioactive substance decays according to the function m(t) =…

A:

Q: Under a set of controlled laboratory conditions, the size of the population of a certain bacteria…

A: Given size of population of bacteria as a function  of time t is ,  P=ft=3t2+2t+1

Q: 8) The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: 7. Order the following functions from slowest growing to fastest growing as x→∞. a. e b. x* c.…

A:

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

Q: Also, suppose that T (x, y) = x³y² + 35 is the function that models the plate temperature in D.…

A:

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Solve

Q: Consider the following function. h(x) = 5 - 2x Find its average rate of change over the interval [1,…

A:

Q: The population of Minnetonka, Minnesota is given as a function P (t) = 40e' e0.02t where P(t) is…

A:

Q: If f'(t)=2t is a production rate, measured in items per hour, then how many items were produced from…

A:

Q: In Example 2, we modeled the population size (in millions) of the United States as N(t) = 8.3(1.33)'…

A: The solution of above question no. #30 is written below with graph.

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: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: n the United States, the percentage of adults (age 20–74) classified as obese held steady through…

A:

Q: 2. Which of the following functions grow faster than e as x–→∞? Which grow at the same rate as e"?…

A:

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A:

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: 7. If the number of bees in a beehive are modeled by the function b(t) = te +1 thousand bees, where…

A:

Q: Suppose that the velocity v (t) (in m/s) of a sky diver falling near the Earth's surface is given by…

A: Solution of question is written in below steps.

Q: C'(10) = 380,

A: Given: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If…