Find the average rate of change of the function between the given values of x. y=8+3x+5x^2  x = -2  x = 3

Q: a certain culture of organisms grow at a rate proportional to the number present. If it is known…

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Q: find the average rate of change of the function overthe given interval or intervals. ƒ(x) = x3 + 1…

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Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

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: The marginal cost of producing the xth box of light bulbs is 5 + x2 /1,000 dollars. Determine how…

A: We are given that, marginal cost of producing the xth box of light bulbs is 5+x21000 dollars.

Q: The radius of a right circular cylinder is increasing at a rate of 4 inches per minute, and the…

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Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…

Q: What is the average rate of change of f (x) from x = 3 to x2 = 6? Please write your answer rounded…

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Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Let the volume of the rod be V Radius of the rod be R and length be L Given: L=20cm; R=3 cm…

Q: The height of a right circular cone is increasing at 3 mm/s and its radius is decreasing at 2 mm/s.…

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Q: Use differentials to estimate the value. estimate =  exact value =

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Q: What is the average rate of change of -2x2 on the interval [-2, 1]? O 2 10 O -2

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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: 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: What is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4 ?

A: To find what is the average rate of change of p(x)=3x3-15x2+x-2 from x=2 to x=4

Q: stone dropped into a still pond ta constant rate of 2 meters per

A: Given that a stone dropped into a still pond sends out a circular ripple whose radius increases at a…

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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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: An open cylinder can has an inside radius of 2cm and an inside height of 5cm. use the total…

A: We will estimate the volume of cylindrical metal as following. Inside radius = 2 cm Inside height =…

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: A spherical snowball is melting so that its diameter is decreasing at a rate of 0.4 cm/min. At what…

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Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

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Q: How can I find the average rate of change?

A: Given that:f(x)=2x2-x+1 ;          x=0, x=3

Q: The slope of a tangent line at a given point on a curve tells the rate of change for the function at…

A: Let the given curve be f(x) -  Then f'(x) will be the slope of a tangent line at a given…

Q: Estimate the average rate of change from x = 4 to x = 7.

A: The average rate of change from one point to another point from a graph obtains from the ratio of…

Q: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

A: Given:  Week Height (in inches) 4 24 6 27 8 30 12 48

Q: When a circular metal plate is heated in an oven, its radius increases at the rate of 0.02 cm/min.…

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Q: Determine the average rate of change of the function

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Q: A bacteria culture is known to grow at a rate proportional to the amount present. If the population…

A: This is a problem of the application of differential equations.

Q: Use differentials to approximate the change in the area of a square if the length of its side…

A: Area of a square with a side length of x cm is, Ax=x2 Here, x=5 cm & ∆x=5.32-5=0.32 cm Now…

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.1 cm/min. At what is…

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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: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm…

A: Given:When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

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: What is the rate of change of the function whose graph is a line passing through  (3, 5) and (−1,…

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Q: What is the estimated marginal effect for a car that weigh 2500 lb?

A: Form the given regression output, The dweight slope value is –10.11667. We have to estimate the…

Q: A right triangle has legs of 12 inches and 16 inches whose sides are changing. The short leg is…

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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: The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is…

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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: A right triangle has legs of 21 inches and 28 inches whose sides are changing. The short leg is…

A: Length of the legs are 21 inches and 28 inches and the short leg is increasing by 10 in/sec and the…

Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg…

Q: What is the difference between a derivative and an integration?

A: We have to state the difference between a derivative and integral.

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 33 inches and 44 inches . The short leg is decreasing by 4…

Q: A 5 meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder…

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Q: What is the average rate of change of a function?

A: What is the average rate of change of a function?

Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

Q: Suppose to tal cost indollars from the production of X printers is given by C/X=.000xt o005x²+28X+…

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Exponential Growth Model

The relation that represents an exponential function is: