QUESTION 4 Let C(x)=.0051x3+1.78x2+24000 represent the cost of producing X units of a good. Answer the following. The cost of producing 100 units is The rate of change of the cost when production is 100 units is

Q: In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2. (a)Find…

A: We have to given that f(x)=3x2+2x+11 and f'(x)=6x+2. It is known that rate of change is given as…

Q: Suppose you know that the point (2, 3) lies on the function h. The average rate of change on the…

A:

Q: QUESTION 1 Consider the competitive market for widgets, which is in a constant cost industry. The…

A:

Q: QUESTION 15 An accessories company finds that the cost, in dollars, of producing x belts is given by…

A: Given : cost in dollars when producing x belts

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: If the demand for q units of a product priced at $p per unit is described by the equation 300 2g + 2…

A: Answer and explanation is given below

Q: Question 2 [3] A radioactive substance is decaying at a rate represented by y- h(t) - Roa', in…

A: Given: y = h(t) = R0at where 0<a<1

Q: 12. f(x)=5-2/5x  express it in the form f(x) =ax+b and state the rate of change of the function.

A: Given:  fx=5-25x To Find:  To express the given function into the form, fx=ax+b, and to state the…

Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

A:

Q: Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result…

A: From the given data, dPdt=βt-δtPβ=0δ=kPP0=100,000P20=1984Px=0x=?

Q: 1. Given the equation, y = 30(1.25- .5)^x; does it represent growth or decay? What is the rate of…

A:

Q: Question 5 1 pts At the beginning of the semester, procrastinators reported an average of 0.8…

A: Beginning of the semester the average number of symptoms = 0.8 The number of weeks be x.

Q: This question is regarding halfway decay,  Number of atoms of an isotope at time t ( in hours )…

A: Number of atoms of an isotope is decaying by f(t)=e-1.9t at time t. "t" represents in hours.…

Q: The gross domestic product (GDP) of a certain country is projected to  be N(t) = t2 + 2t + 50 ( 0 ≤…

A:

Q: The population of a town is given by the formula: P(t) = 1000e^(.02t), where t is in years. What is…

A: Given: Pt=1000e.02t

Q: 4. The population of Florida (in millions) in recent years can be approximated by p(x)%3=…

A:

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 50000…

A: Given query is to find the population of microorganisms after 50 second.

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: Suppose that the demand for x units of a product is x = 15,000 - 150p where p dollars is the price…

A: Given that: Demand, x=15000-150pConsumer Expenditure, E(p)=15000p=150p2

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Consider the following problem. A bicyclist is riding on a path modeled by the function  f(x) =…

A: Given thatA bicyclist is riding on a path modeled by the functionfx = 0.03 10x-x2Where x and fx…

Q: Question 14 ▼ Submit Question Find the average rate of change of g(x) = 3x² - 4 between the points…

A:

Q: Question 3 While investigating the effect of temperature on CPU performance, analysts determined…

A: Solution : A) x%=pf(p)=-1.515p-5 8-0.04p+0.48p17f is rate of change of frequency to find freequency…

Q: How well does the average rate of change describe how the mold changes for these 6 days?

A: Formula used : Average rate of change of f (x) in between a and b is  f(b) - f(a) / b-a

Q: Given a function f(x)=e^2x−e^x+1, what value of x makes the relative rate of change equal to one?

A: We first find f'(x) using chain rule f(x)=e2x−ex+1f'(x)=2e2x-ex

Q: Solve the problem. 6) The graph shows the population in millions of bacteria t minutes after a…

A: From the given graph

Q: The value of a family’s home is given by f(x)=130000(1.06)x, where x is the number of years after…

A: Given, fx=1300001.06x

Q: Question 26 Calculate the average rate of change for the function f(x) = 2x² − 3x + 5 1 over the…

A:

Q: Answer the following as detailed as possible. 1. If the growth rate of a culture of bacteria is…

A: Let P is initial population of Bacterial, A is present population of bacteria in time t, We know…

Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto,…

A: Given data:The distance after 't' second is St=4.9 t2

Q: According to one simplified model, the purchasing power of a dollar in the year 2000 + t is equal to…

A:

Q: change or 6x2-5x + 13, use one of the formulas from 2. Given that f (x) problem 1 to find the…

A: The given function is,

Q: g(x) = 6/x+1 ; x = 0, x = h How do I find the net change and average rate of change between the…

A:

Q: 16 14 12 10 8. 6- 4. 2 Estimate the instantaneous rate of change at x = 2

A: Given query is to find the instantaneous rate of change at X = 2 .

Q: 4. The rate of change of a certain substance is proportional to the amount of substance is 10 grams…

A: According to the given question dxdt∝x.

Q: QUESTION 4 The average rate of change of a function over an interval is the same as the…

A: The average rate of change is defined as ravg=fb-fab-aover same interval a,b

Q: Question 5 Find the average rate of change of f(x) = 9x – 4 on the interval 2, 6. Your answer will…

A:

Q: Given a function f(x) = e2 - e +1, 2.0 calculate the relative rate of change when x = 3. Give your…

A:

Q: In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f'(x) = 6x + 2. (a) Find…

A: Differentiating with respect to x, we get

Q: In a certain bacteria culture the rate of increase in a number of bacteria proportional to the…

A:

Q: 1. The growth rate of a culture of bacteria is proportional to the number of bacteria present and…

A:

Q: Question 9 > Find the average rate of change of g(x) = 2x + 9. on the interval [-2,3]

A:

Q: 8. The value of an automobile decreases each year and is described by the equation Vt) = 24…

A:

Q: Part 1 of 4 (a) The average rate of change in the number of new flu cases between months and 2 is…

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: QUESTION 1 Find the average rate of change from x = -4 to x = 0 for g(x) = -2x + 18. QUESTION 2…

A: The average Rate of change of function f(x) over the interval [a,b] is  =(f(b)-f(a))/(b-a)

Q: 1. Given the equation, y = 30(1.25- 5)^x; does it represent growth or decay? What is the rate of…

A: Explanation of the answer is as follows