3. The amount of pollution x miles downwind of an electrical plant is g (x) = 64x¬4 + 8x parts per million (ppm). Find the instantaneous rate of change of the pollution level 3 miles from the source (to the nearest hundredth).

Q: Estimate the instantaneous rate of change at x= 1 for Ax) = /x + 1. a) -2 b) -0.5 c) 0.5 d) 2

A:

Q: The cost of producing x units of a certain commodity is c(x) = 1000 +5.70x +.7x2. What is the…

A:

Q: consider the equation f(x) = 2x2 - x find the average rate of change between x=3 and x=6

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Q: The rate of decomposition of radioactive radium is proportional to the amount present at any time.…

A:

Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

Q: A balloon is deflating at a constant rate of 12 cm3 per second. When the volume of the balloon is…

A:

Q: Estimate the average rate of change for the graph above from x=1x=1 to x=4

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Q: If l represents the intensity of light which has penetrated water to a depth of x feet, then the…

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Q: Find the average rate of change of h (x)=-2x +4x from x=-2 to x=2. Simplify your answer as much as…

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4…

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If…

A: Explained below

Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

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

A: Given:- The rate of change of a certain substance is proportional to the amount of substance is 10…

Q: 4x+2 find average rate of change from x=-1 t x=1

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

A:

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

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A:

Q: If the demand for q units of a product priced at $p per unit is described by the equation. p= 400 /…

A:

Q: Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case,…

A: As given in the question, The amount of fuel is directly proportional to the distance Travelled. ⇒y…

Q: Find the average rate of change of g (x) = 3x-2x from x 3 to x 7. Simplify your answer as much as…

A:

Q: Find the average rate of change of g(x) = 4x+5 from a 3 to = 4

A:

Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 V29 +…

A:

Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 P = 29…

A:

Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

A: represents the change in the average cost of a gallon of milk in the United States t years since…

Q: (13) The blood pressure P measured in millimeters of mercury of an adult x years old is given by…

A: Given: P(x)= 40+25ln (x+1)  the limit 0 between 65 To find : Rate of change  of pressure of the…

Q: consider the equation f(x) =5x2 find the average rate of change between x=3 and x=3+x

A: Given: the equation f(x) =5x2 and find the average rate of change between x =3 and x =3+ x

Q: 3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000 students. If…

A: let the number of students infected is x, therefore, the number of students not infected is 8000-x…

Q: Find the average rate of change of g (x) = -2.x-2x from x = 2 to x 6. Simplify your answer as much…

A: We can find the average rate of change of a function as below in the following steps.

Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: IfI represents the intensity of light which has penetrated water to a depth of x feet, then the rate…

A:

Q: If the total revenue function for a blender is R(x) = 52x − 0.01x2 where x is the number of units…

A: We have the total revenue function R(x) = 52x − 0.01x2.

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: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

Q: Suppose that the spread of a disease through the student body at an isolated college campus can be…

A: Here we have to find out rate of change of y.

Q: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

A: solution is given below

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: If f(x) = 5x2 − x3, what is the rate of change of f '(x) at (2, 12)?

A: To calculate the rate at which the given function changes at the given point

Q: Find the average rate of change of g (x) = 2x²-9x from x=2 to x = 6. Simplify your answer as much as…

A: The  average rate of change of function f(x) from the point x=a to x=b is given by:-    (f(b) -…

Q: If g(x) = 3x3 + 6x2 + 4. What is the value ofthe instantaneous rate of change of g(x) when x = -1?

A: We have to solve the problem

Q: Find the average rate of change of g(x)=−5x^3+5 from x=-3 to x=4

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: Given:The time it takes an average athlete to swim 100 meters freestyle at age x years can be…

Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 7200 f(t) (* + 1.5)"

A:

Q: The height of a cylinder is decreasing at a constant rate of 4 cm per second. The volume remains a…

A:

Q: estimate the instantaneous rate of change at the point indicated. P(x) = 3x^2 − 5; x = 2

A: To find the  the instantaneous rate of change at x=2 we need P'(2) We first find P'(x) using the…

Q: The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x2 + 10x + 5000. What is…

A:

Q: The cost in pesos of producing x units of a certain commodity is C (x) = 5000 + 10x + 2x? What is…

A: Please see the answer below.

Q: Find the instantaneous rate of change for the function at the given value. f(x) = x² + 3x at x = 0…

A: We can find the instantaneous rate of change as below