1 Given f(x) find the average rate of change of f(x) on the interval [8, 8+ h]. Your x + 2 answer will be an expression involving h.

Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of…

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a…

Q: 2 - Find the average value of the function f(x)=x -21 on [0,6]. The average value of the function…

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Q: 2. The average rate of change of a function f between x = a and x = b is average rate of change =

A: Consider the given information. If f(x) be function and x1,x2 than the formula is defined as,…

Q: Daily crude oil production by one particular oil company for 2008-2013 could be approximated by P (…

A: The given function is Pt=0.009t2-0.7t+3.43. Compute the average rate of change of P ( t ) over the…

Q: for #16

A: Average rate of change of a function f(x) over an interval [a, b] can be found using the formula…

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: Find the average rate of change of g(x) = 2x+ on the interval [-4,3] 2.

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Q: 5. Find the average rate of change for the function between the given values. a. f(x) = v2x, from 2…

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Q: 3. Find the average rate of change of function f(x) = 4 - 2x² (a) On [0, 1] (b) On [a, a+h].…

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Q: 6. Given the function g(x) = x³ – 1 a. Find the average rate of change over the interval [-1,2] b.…

A: Solve the question according to the given condition

Q: If (X1. (x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

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Q: 2. Find the average rate of change of g (x) = -2x-2x from x= 1 to x=4. Simplify your answer as much…

A: Given, gx = -2x2-2x  We have to find the average rate of change of function from x = 1  to  x = 4 .…

Q: The rate of growth of a population P is given by dP/dt=kP + N  where N is a constant representing…

A: Given:- The rate of growth of a population P is given by dP/dt=kP + N where N is a constant…

Q: Let f be the function given by f(x)=x^3−2x^2+5x−16. For what value of x in the closed interval [0,5]…

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Q: 3. If f(x)=x² – 2x, find the average rate of change (a) from x = 3 to x= 5 (b) from x = 3 to x= 3+c;…

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Q: 6. (5 points) Find the instantaneous rate of change of the function h h(t) = t² . /f² + 1 %3D with…

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Q: Need help

A: Given function:

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1) Find the average rates of change of f(x) =x^3-3x a) from x1=-2 to x2= -1 and b) from x1=0 to x2=1…

A: 1.The average rate of change of any function (say y) is given by the formula -y =…

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

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find the average rate of change of the function over the given intervals.   ​f(x)=6x3+6​;      a​)…

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Q: Find the average rate of change for the following on the given interval. Then find the instantaneous…

A: the given function is: y=-2x3-3x2+8 the given interval is [-2,6] we have to find the average rate of…

Q: Given f(x) = find the average rate of change of f(x) on the interval [2, 2 + h]. Your answer will be…

A: Given

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: 5 .Let f(x) =x² -e*. Find the value of x for which the second derivative s"»equals zero. 2

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Q: | 22. Make a table of values for the function F(x) = (x + 2)/x – 2) at the points x = 1.2, x =…

A: given: Fx=x+2x-2

Q: 1. Find the average rate of change Where x 1 and x 2 y= f(x) -4 -1 10 Where x = 2 and x =5 -3 -4 -5…

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Q: 4. Let g be defined by the function below. SV25 – x2, x2 – 5, -4 < x < 0 0 < x < 3 g(x) = a. Find…

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Q: 1. Determine the value of so that the average rate of change of the function h(x) = x + 3x+2 on the…

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Q: 3) Find the average rate of change of the function over the given interval or intervals: f(x) = x' +…

A: The average rate of change is similar to that of a slope between two points . The average rate of…

Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

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Q: Supposed that the yearly rate of consumption of oil (in millions of barrels) is given by C'(t) =…

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Q: 3. Determine the x-value(s) for which the function g(x) = In|x² +3x| has an instantaneous rate of…

A: Given function is Differentiating both sides with respect to x, we get

Q: 2-t-1 Find the average rate of change of z(t) = on the interval between t= 1 and t=2. 2 -t+3

A: The average rate of change of z(t) in the interval t=1 and t=2 is given by:

Q: Given the function g(x)= x3 - 1 a) Find the average rate of change over the interval [ -1, 2 ] b)…

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Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

Q: 2 Refer to the graph above and without making any computa- tions find: The average rate of change…

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Q: 4. Let f(x) = 3r2 – 2x + 1. (a) Find the average rate of change of f(x) on the interval [1,3]. (b)…

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Q: find the average rate of change of the function over the given interval.  f(x) = x3 + 3. Over  [-5,…

A: fx+h=fxh=fb-fab-a where a is the lower bound and b is the upper bound. Average rate of change…

Q: Yes or No? If No, give a reason.

A: Given: Average rate of a function is secant lineTo find: Can the average rate of change of an…

Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: Given f(x) = 1 find the average rate of change of f(x) on the interval [10, 10 + h]. x +4 Your…

A: Average rate of change =[ f(x2)- f(x1)]/ (x2- x1)

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

A: Average is (g(1) -g(-4)) /5

Q: A function y = f(x) is decreasing on the interval [0, 5]. What conclusions can you draw about the…

A: A function is increasing, if when x increases, the value of y also increases.          Since the…

Q: 7. Let f(x)=• 5 Find the average rate of change of f(x) from x = a to x= a+h and simplify X+3 your…

A: fx=5x+3 from x=a to x=a+h

Q: Rank the functions x3, ln x, xx, and 2x in order of increasinggrowth rates as x→ ∞.

A: Given x3, ln x, xx, and 2x

Q: find the instantaneous rate of change of the function at the given x-value. f(x)=x2 + 3x at x=4

A: f(x)= x2+3x  and x=4

Q: 4. Suppose the function is defined by y = f(x) = x² – x a. Find the average rate of change of y with…

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Q: 4. Suppose the function is defined by y = f (x) = x² – x a. Find the average rate of change of y…

A: y=fx=x2-x a). The average rate of change of the function over the interval 1, 3 is,…

Q: 2. The instantaneous rate of change of g(x) is the same for every real value of x. What conclusion…

A: