Estimate the instantaneous rate of change at x=2

Q: the velocity of a particle is the rate of change in the position function over time true or false

A: We have to check

Q: Find the instantaneous rate of change of each function at the given x-value.

A: Part a,Given,           fx=2x2+3x-4 at x=-3

Q: Can the average rate of change of an increasing function ever be negative?

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Q: Find the instantaneous rate of change Of the function at the Speciried value of X flx)=X?-2; X -3

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

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Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

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Q: the area of a circle is decreasing at a constant rate of 181 square centimeters per second. at the…

A: Given, dAdt=181cm2sec now we know area of circle is: A=πr2 now derivate both side w.r.t t…

Q: Estimate the instantaneous rate of change at x=2. Thank you

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Q: Find the average rate of change of f(x)= 3 * square root of x-1 on the interval [2, 10].

A: Given function and interval

Q: Find the equation of the graph and estimate the instantaneous rate of change at x = 1

A: From graph we can conclude that the equation of this graph be a parabola i.e., a quadratic equation.…

Q: Estimate the average rate of change for the graph above from X=2 to x=3 

A: We have to estimate the average rate of change for the graph above from x=2 to x=3 

Q: Can the instantaneous rate of change be different than the average rate of change in the same…

A: We describe that the instantaneous rate of change be different than the average rate of change in…

Q: Estimate the average rate of change from x = 1 to x = 4. %3D

A: average rate of change of f(x) on a,b=f(b)-f(a)b-aHere a=1 ,  b=4From graph f(1) = 5 ,  f(4) = 4

Q: Find the instantaneous rate of change of 7. y = (x + 1)*(x – 3) at a = 1.

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Q: What is the rate of change of y = In x at x = 10?

A: Explanation: Given that,  y=lnx   Concept Used: To find the rate of change we will find the…

Q: Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment…

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Q: The instantaneous rate of change can never be zero. True False

A: The given statement, The instantaneous rate if change can never be zero, is False.

Q: Suppose the amount of oil pumped from one ofthe canyon wells in Whittier, California, decreases at…

A: We know that general exponential function is  y=y0e-kt California, decreases at the continuous rate…

Q: At what rate is the production of fish changing with respect to time 5 months from now?

A: Given Data: Production of pounds of fish per month is: QK=109K13 ......1 Total investment is:…

Q: A triangle has an area that is increasing at a rate of 555 square feet per minute with the height…

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Q: One airplane is approaching an airport from the north at 203 km/hr. a second airplane approaches…

A: Let in the below figure P represents the airport, Q represents the southbound plane and R represents…

Q: Estimate the instantaneous rate of change of the function shown in the graph at x=600.

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Q: A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the…

A: Given: A certain bacteria culture grows at a rate proportional to its size.

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

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

A: The rate of decomposition is proportional to y, we know that y=Cekt, where t is the time in years.…

Q: A wet towel hung from a clothesline to dry loses moisture through evap-oration at a rate…

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Q: Find the average rate of change of f(x) between x = -1 and x = 2.

A: Given interval: x = -1 and x = 2 Formula used: Average rate of change of f(x) is fx2-fx1x2-x1

Q: Find the rate of change of y with respect to x when x=3000 and y=100

A: Given data:   The given expression of the function is 180x0.75y0.25=230,734. The given value of…

Q: Find the rate of change of the surface area of the cube when the volume is 8 cm". A block of ice in…

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Q: 6. How is the instantaneous rate of change found?

A: Answer and explanation is given below..

Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

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Q: Find the rate of change of x with respect to p. 500 – X 0 < x < 500 8x

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Q: The surface area of a cube is increasing at a rate of 15 square meters per hour. At a certain…

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Q: What is the instantaneous rate of change?

A: Solution;-  Definition of Instantaneous rate of change:-

Q: Suppose the side of a cube is decreasing at a rate of 2 feet per hour. What is the rate of change of…

A: Given: ds/dt=2 side=4ft

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. what is the…

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Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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Q: 5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of…

A: Here we solve this question using differentiation and basic trigonometric formulas.…

Q: Estimate the instantaneous rate of change of f(x) = 4. at the point a = -1 x - 6 Your answer should…

A: We need to find the instantaneous rate of change of f(x) = 4/(x-6) at x=-1.  Now,…

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: Find the instantaneous rate of change for each function at the given value: . ƒ(x) = x2 + 2x at x =…

A: we have to find the instantaneous rate of change of a given function   given function is ƒ(x) = x2…

Q: What is the instantaneous rate of change of y=y=−2x^2+2x at x=0 ?

A:

Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

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Q: Estimate the average rate of change from  x = 2  to  x = 5.

A: We are given a graph of a function and we are asked to find average rate of change from x=2 to x=5.…

Q: Explain how the instantaneous rate of change of a function at a point is related to its average…

A: Instantaneous rate of change: The instantaneous rate of change is the change in the rate at a…

Q: What is the instantaneous rate of change of S(t) 12 months from now? Round to 2 decimal places.…

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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: 4. Determine all the time periods when the rate at which the water is flowing is increasing.

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…