Given the following graph, determine: a) The average rate of change between - 5< x<-3 b) The approximate instantaneous rate of change at x = -3, x = -5 -6- -2- -8 -6 4 -2 4)

Q: 3. Sketch a graph of the position of an object that has an average velocity of • -5 mph for times…

A: As we know the rate of change of position  is velocity let object is moving in x direction hence…

Q: 1. Use the Difference Quotient to find the instantaneous rate of change of 2. f(x) = -5x2 - x at x…

A: We have to find the instantaneous rate of change using difference quotient we have  f(x)=-5x2-xat…

Q: Find the rate of change. Cube root 3√x with respect to x when x = 1, 8, 27

A: Consider the given: fx=x3ddxfx=ddxx3ddxfx=ddxx13ddxfx=13x13-1ddxfx=13x23

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: With the given graph, estimate the instantaneous rate of change at x= -1 and show the steps. Next,…

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Q: find the average  rate of change from f(x)= x^3+1/ x-2 from x=-1 to x=3

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Q: Find the rate of change of supply price with respect to the number of units supplied.

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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: Given the following graph, determine: a) the average rate of change between - 5sxs-3 b)…

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Q: Find the average rate of change of g(a) = 4x° + 3 from a = 2 to x = 2

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Q: Find the slope m of the line tangent to the graph of the function f(x)=9-x^2 at point P(4,-7).

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Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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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: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

A: The graph shows the depth of water W in a reservoir over a one-year period as a function of the…

Q: If ,f(x) = 19x2 − x3, what is the rate of change of f '(x) at (2, 68)?

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

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Q: For the given function, find the instantaneous rate of change at x= 4 Y=(x^2-2) (x^2 -6x +6)

A: For this problem, we have find derivate of given function at one time. And later substitute value of…

Q: Assume that all variables are implicit functions of time t. Find the indicated rate- xp

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Q: Find the average rate of change of g(x) = - 5x – 1 between the points (-4,19) and (3,-16)

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Q: If f(x)=9x+6, find the instantaneous rate of change of f(x) at x=-5

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Q: Find the average rate of change of g(x) : - 5x³ – 1 from x 3 - 1 to x = 4.

A: Recall: Average Rate of change of function f(x) from x=a to x=b is f(b)-f(a)b-a.

Q: Find the average rate of change of f(x) = 3x - 5 from x = 0 to x = 4.

A: The average rate of change is total change of the output values for two input values divided by…

Q: Use Definition 1 or 2 to find the instantaneous rate of change of the function at the given value…

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

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Q: slope m of the line tangent

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

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Q: What is the average rate of change of f (x) from x1 = -4 to x2 = -3? Please write your answer…

A: We have to find the average rate of change of f(x).

Q: Based on the graph above, estimate (to one decimal place) the average rate of change from x=1x=1 to…

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Q: The slope of the line through the distinct points (x1, yı) and (x2, Y2) can be interpreted as the…

A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

Q: Find the average rate of change of g(x) = 5x³ + 4 from x = - 4 to x = 4.

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Q: Find the average rate of change of g(x) 2x° – 4 from æ = - 1 to x = 4 -

A: To find- Average rate of change.

Q: hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t…

A: In this question, the concept of the average rate of change is applied. The average rate of change…

Q: Find the average rate of change of f(x) = - 2x2 + 4:(a) From 0 to 2(b) From 1 to 3(c) From 1 to 4(d)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 1. Given the following graph, determine: a) The average rate of change between -5sxs-3 b) The…

A: The average rate of change formula is y2-y1x2-x1

Q: Find the average rate of change of g(x) = 4x° + 3 from æ - 2 to x = 1

A: P

Q: If (x) = -4x – 3, find the average rate of change on the interval [0,2].

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Q: Find the average rate of change between the x values. f(x)=7x+1; x=3 and x=4

A: Consider the provided function and given values of x:

Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

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: Find the average rate of change and the equation of the secant line for 2x f (x) = from -1 to 3. x²…

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Q: Select all the tables in which the y-value changes at a constant rate per x-interval.

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Q: What is the average rate of change of f(x) from x¡ = -2.6 to x2 = -1.3? Please write your answer…

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Q: If f (x) = x + 3x2, find the average rate of change from, x- -2 to x = 2.

A: Consider the provided function, fx=x3+3x2 Find the average rate of change from x=-2 to x=2. Use the…

Q: Determine the rate of change of the following line.

A: In graph we have two points (-4, 0)  and (-2, -3)  Rate of change means slope

Q: Which pairs of points would result in a line with a rate of change of 2:1?

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Q: Find the average rate of change of g(x)=1x-3 on interval [-2,4].

A: Given:

Q: Find the average rate of change of the function between the given values of X.  y=-5x-x^2 between…

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