On a desert island lives a colony of extremely active dormouse. The population are given by time t (in months after 1. jan, 2020) is given by the function:   c) The dormouse are considered a delicacy, and the price of the dormouse is inversely proportional to the supply. When during the first year is the price of dormouse largest and when is it smallest?

Q: Assume that it costs that same company approximately C ( x ) =62,229+5,573x +0.033x 2 dollars to…

A: The given cost function is Cx=62,229+5,573x+0.033x2. It is known that, the average cost function can…

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to…

A: Given data-  C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x).

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: Assume that it costs that same company approximately C(z) =67,822+4,195z+0.05z2 dollars to…

A: We are given the total cost function in terms of x units. This total cost function is a polynomial,…

Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: Assume that it costs that same company approximately C() =67,822+4,195x+0.05x2 dollars to…

A: Given,          The cost function is Cx=67822+4195x+0.05x2 dollars to manufacture x of…

Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (106 −…

A: Given: The consumer demand is q = (106 − 2p)2, where p is the price per dumbbell, and q is the…

Q: Suppose that the satifaction received from a number of rides taken on a roller coaster 2x+1\0.5 is…

A: The derivative of the ratio f(x)=u/v is given by,

Q: Given that the height of the cylinder is 6 cm and is growing at a rate of 5 cm/s, while the radius…

A:

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

A:

Q: Given that  f  is a function of  x, which of the following statements is false? a) When  f  is not…

A:

Q: Assume that it costs that same company approximately C(x) =62,229+5,573 x+0.033x2 dollars to…

A: Given, C(x)=62,229+5,573x+0.033x2 where x be the improved deluxe gameplay stations in an hour and…

Q: Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a…

A: Assume that the ship loses power when it is moving at a m speed of 8 m/s. a. We have to find about…

Q: A textbook company estimates that the weekly marginal cost associated with producing x textbooks is…

A: topic - differential equations

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

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by x = (111 −…

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: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: comparing the surface area of a sphere with its volume and assuming that air resistance is…

A: We will solve the following.

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

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: 3. Suppose that for a company producing r face shields per week, the cost (C) and revenue (R)…

A:

Q: Suppose that the satifaction received from a number of rides taken on a roller coaster         is…

A:

Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

A: The revenue function and the cost function is given as:…

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a…

A:

Q: Let M(t) be the mass (in kilograms) of a plant as a function of time (in years). Recent studies by…

A:

Q: The cost C of building a house is related to the number k of carpenters used and the number x of…

A:

Q: The population, f, of a small community on the outskirts of a city grew rapidly over a fifteen year…

A: Newton's backward difference formula uses the formula below to approximate f(x) .…

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: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

A:

Q: Given the function h(x)=−x2−9x+26h(x)=−x2−9x+26, determine the average rate of change of the…

A: Given: The function is  h(x)=-x2-9x+26,     -6≤x≤-1   To determine: The average rate of change of…

Q: If f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 3 units…

A:

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A:

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2100…

A: Rate of change of cost function is the derivative of cost function with respect to time .

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: We get the answer using integrating.

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods…

A: here T is taxable  value on purchase  x is purchase value and T = 5% given  further calculation…

Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A: Given equation - R =-4p2+4000p          ...........(1)Part (a) - Revenue = R = 0p = price = ?From…

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: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=700e0.24t…

A:

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300…

A: Answer: The solution is as given below:

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

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: Show that a function f decreases most rapidly at x in the direction opposite to the gradier (that…

A: Solve with given conditions

Q: Suppose the average daily metabolic rate for certain types of animals can be expressed as a function…

A: