If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the "average rate of change of f" over the interval (a, a + h]. We use the word "average velocity" for the situation where f represents the position of an object. Put in your notes: I will often use the acronym AROC for "Average Rate of Change" and IROC for "Instantaneous Rate of Change" O True False

Q: tind he derivative OR the hunchon f by usine 2x-4つtu

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Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

A: Given:

Q: What is the range of the cosecant function?

A: Range of cosecant function. Cosecant function is denoted by cosec x. cosec x=1sin x

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

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A: The general form of the linear equation is, y=a+bx Where 'y' is the dependent variable, 'a' is the…

Q: The Range of y = V9- Vã /x is

A: The function y= √(a-x) is valid for all real     x ≤ a and range of this function is [0,√a]

Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

Q: b. f(x)=7x²e"

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Q: What function measures the rate of change of distance?

A: _____ function measures the rate of change of distance

Q: Find the average rate of change of the function f(x) Average rate of change = Give exact answer! =…

A: Given,            The function is fx=2x2-3x+1, on the interval x ∈ 0,1.To find : Find the average…

Q: 2) Find the derivative of the function. T(r) = ar² +2e" + a². %3D

A: Since the given function is function of 'r'. I am going to differentiate with respect to 'r'.…

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A: Given number of heartbeats after time t is,t (time)Heartbeats362503382639402773422903443033When…

Q: Given c = and ƒ = , find č + f. c+ f = <

A: As we know that, If the given vectors are a→=a1,b1 and b→=a2, b2 then sum of these two vectors will…

Q: a) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by…

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Q: given the function: y = x^3 + 2x^2 + x + 1 a. Find intervals where the function is increasing and…

A: In the question it is asked to conclude some points for the function given.

Q: Find the average rate of change of the function f(x) = Average rate of change = Give exact answer!…

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Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: The derivative of the function f(x)= is 1 -3/4

A: Solution: The objective is to find the derivative of the given function

Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: At each marked point: draw a short tangent line and estimate the derivative at that point (write the…

A: The given graph is:

Q: Find the third derivative of the given function. gt1) = (G)? - 2)

A:

Q: The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use…

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Q: What is another name for the derivative when looking at a function graphically? A triangle that must…

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Q: Explain the Secant function.

A: we have to explain the secant function.