Q: Find the marginal revenue function R(X) = x(19 - 0.02x) R'(x)= [
A: To differentiate a function, we use the following differentiation rule. Sum rule Difference rule…
Q: 4. A large tank contains 100 gal of brine in which initially 50 lbs of salt are dissolved. Brine…
A:
Q: It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in…
A:
Q: #7. Find the average rate of change of the function between the give values of x. y = -5x – x2…
A: The average rate of change of a function fx on an interval a, b is given by…
Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…
A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes
Q: 2. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…
A:
Q: The growth of bacteria in food products makes it necessary to time-date some products (such as milk)…
A: Given, ƒ(t) = 500e0.1t t- in days f(t)- in millions.
Q: e company wishes to produce both products, but not at equal portions. 60% X’s and 40% Y’s is desired…
A: Given that the company wishes to produce both products, but not in equal portions. 60% X’s and 40%…
Q: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…
A: The volume of a cone: V=13πr2h Where, r is the radius of the cone. h is the vertical height of the…
Q: 4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration…
A: circulated pound contains 1 million litre of water that contain important at the separation of 0.01…
Q: 2. The population of a certain state is known to grow at a rate proportional to the number of people…
A: 2) Given: Rate of increase of the population of the state is proportional to the number of…
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: We will formed a differential equation and then solve it to get amount of blood
Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…
A: Use average rate formula
Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…
A: We are given that: The radioactive element decays at rate 5% annually and there are 40 g substance…
Q: 2. For a substance C, the time rate of comversion is proportional to the square of the amount x of…
A:
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: Given: Bloodstream is composed of 5L of water The rate of single inflow, by absorption of fluids…
Q: Find the number of units x that produces the minimum average cost per unit C in the given…
A:
Q: In an extraction unit operating with continuous and counter current, 100 kg of kerosene-nicotine…
A:
Q: 4 Find the average rate of change of g(x) 9x2 on x3 the interval [-2,2]
A: In this question we have to find the rate of change.
Q: 3 In a community in which R elderly people and people with comorbidities are susceptible to a…
A:
Q: Michael just started a new job as an assembly line worker. The job requires him to assemble 300…
A: given that k=0.15 y'=0.15(300-y) also y'=k(M-y), y(0)=y0…
Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…
A: The provided information is:
Q: The U.S. Bureau of the Census prediction for the percentage of the population 65 years and ol der…
A: Given, the percentage of population 65 years or older can be modeled as
Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…
A: given
Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…
A: The standard deviation of X and Y are 0.05 and 0.10, respectively.
Q: Find the number of units x that produces the minimum average cost per unit C in the given…
A: Given that C = 0.001x3 + 3x + 432 To Find the number of units x that produces the minimum average…
Q: Find the number of units x that produces the minimum average cost per unit C in the given…
A:
Q: A 100-gallon tank contains 50 gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…
A: Given the data
Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…
A:
Q: 6. The mass of a cube in grams is M = x³ + 0.1x*, where x is the length of one side in centimeters.…
A: Explained below
Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…
A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…
Q: A manufacturing company has been experimenting with a new additive that is used to reduce polluting…
A:
Q: A radioactive element decomposes at a rate proportional to the amount present. The amount remaining…
A:
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: To determine the equation to determine the amount of alcohol in the body at a time.
Q: 4. During a certain epidemic, the number of people that are infected at any time increases at a rate…
A: Here the given relation is ," People that are infected at any time increases at a rate proportional…
Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…
A:
Q: Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).
A:
Q: 4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate…
A: As per our guidelines I am solving only first problem please repost other question. For first…
Q: 9. From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among…
A:
Q: Two substances, A and B, are being converted into a single compound C. In the laboratory it has been…
A:
Q: 2. For a substance D, the time rate of conversion is proportional to the square root of the amount x…
A: Given For a substance D, time rate of conversion is proportional to the square root of the amount x…
Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…
A:
Q: 16. If x x y and y x z, then how is x proportionally related to z?
A:
Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…
A: A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture…
Q: (4) Consider the constant rate of decrease of a certain microorganism. At the start, there are…
A: We have to find the number of microorganisms that will be there after 45 seconds.
Q: The population of Normal, Illinois grows proportionally to its population at time t. At an initial…
A: Given, dPdt=kP Where P is the population and k is the proportionality constant.
Q: 2. The instantaneous rate of change of g(x) is the same for every real value of x. What conclusion…
A:
Explain how the graph of g is obtained from the graph of f.
Step by step
Solved in 2 steps
- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYIn the function: f(x)= (3x^2)ln(x) , x>0 What are the critical numbers of the function?According to one hypothesis, the growth rate dV/dt of a cell’s volume V is proportional to its surface area A. Since V has cubic units such as cm3 and A has square units such as cm2, we may assume roughly that A ∝ V 2/3, and hence dV/dt = kV 2/3 for some constant k. If this hypothesis is correct, which dependence of volume on time would we expect to see (again, roughly speaking) in the laboratory? (a) Linear (b) Quadratic (c) Cubic