using f(x), determine the average rate of change of f(x) on the interval [1,2]. f(x)=x^2+4x-3. rounded to the nearest 10th

Q: Find the average rate of change of the function from X1 to X2. f(x)= -3x2-x from X1= 5 to X2= 6

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Q: Determine the average rate of change of y in the function y = 2x³ + 7x² + 2x - 3 er the interval…

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Q: Find the rate of change of 1/x with respect to x when x=2

A: f(x)=1xrate of change of 1/x with respect to x isdf(x)dxdf(x)dx=-1x2

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A: average rate of change= -7 for detail...go through the solution

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: We have to find average rate of change of the function f(x)=6xr+y on [x, x+h]

Q: Find the average rate of change of the function between the given values of x. y = −5x − x2 between…

A: We are given that : y = -5x - x2 We need to calculate the average rate of change of the above…

Q: Find the net change and the average rate of change of f between x = 2 and x = 6. net change average…

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Q: Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cu.…

A: Calculus Question

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. The most…

A: Given that the brightness of the Delta Cephei at time t( in days) has been modelled by the function…

Q: 10) Using the First Derivative Test, what are the local extrema for the function 5(x)==x²+10 x³…

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Q: Where is the function defined by ƒ(x) = ex increasing?Decreasing? Where is the tangent line…

A: Where is the function defined by ƒ(x) = ex increasing? Decreasing? Where is the tangent line…

Q: An orchard has an average yield of 36 bushels of apples/tree if the density is 22 trees/acre. For…

A: Let x be the additional number of trees to be planted to maximize the total yield.

Q: Determine the relative extrema using the Second derivative test. Find the point of inflection www y…

A: Let the function be, y=x(x2-5)2 Find the critical points using dydx=0 dydx=x2(x2-5)×2x+(x2-5)2…

Q: A farmer wants to fence in 800 ?t2 of land in rectangular plot to be used for different types of…

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Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: Find the average rate of change for the function over the given interval. y = x3 - 3x2 + 5 between x…

A: The average rate of change of a function f(x) from x = a to x = b is

Q: Use the first derivative test to find and classify the relative extrema of x2 +8x+ 16 f(1) = For…

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Q: The marginal cost function is the derivative of the cost function. If the cost function of producing…

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Q: Determine the average rate of changes in the value of y in moving from x=-1 and x=2 f (x) = 5x3

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Q: Find the average rate of change of f(x) = 5x - 6 on the interval [3, a]. Your answer will be an…

A: Given: -

Q: Find the average rate of change of the function from x, to x,. Function x-Values f(x) = -5x + 17 X,…

A: We can find the answer as below

Q: Find the average rate of change of the function f(x) = x² - 2x + 3 between x = -2 and 2 = 4. Type an…

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Q: Find average rate of change for the function over the given interval. Find the average rate of…

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Q: How to find the rate of change of y=x^2-3 over the interval (-2,0)

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Q: 7. How does the average rate of change for a square root function behave, for intervals of fixed…

A: Average rate of change can be found by calculating the change in y values of two points divided by…

Q: Show that a constant function f(x) = b has an average rate of change of 0. Compute the average rate…

A: for a constant function f(x) = b average rate of change is zero because  function is same for all…

Q: 5. Find the average rate of change of the function f(x)= cos² x from x =- x = ". Use to - exact…

A: Rate of change=f(b)-f(a)b-a Given:  f(x)=cos2x, x=-π6,π4

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: The average rate of function f(x) on the interval a,b is given by  average rate of change = fb-fab-a…

Q: Find the average rate of change of the function from x₁ to X₂- Function x-Values f(x) = -3x³ + 7x² +…

A: Average rate of change is just an another name for slope. If f(x) be a function then the average…

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Find the rate Of Chaange the folloewing in Table de. X 1-2)-1 TO fex) F3 -1 3.

A: Given that table values, x -2 -1 0 1 f(x) -3 -1 1 3 Use the formula of the rate of change,…

Q: e average rate of change of the function from Function X-Values f(x) = -2x3 + 8x2 + x X1 = 1, x2 = 8

A: Given : fx = -2x3+8x2+x

Q: Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total…

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Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: The given function is fx=2x2+5. The average rate of change of a function f over the interval x,x+h…

Q: Suppose that a function F has a positive average rate of change from 1 to 4. Is it correct to assume…

A: Given, F has a positive average rate of change from 1 to 4

Q: y=-sinx . 3π X 2 元 2. 2 N/2

A: Given: y=-sinx

Q: Compute the average rate of change of f from x, to x,. f(x) = 4x - 5, x, =4 and x, = 8 The average…

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Q: Show that a constant function f(x) = b has an average rate of change of 0. Compute the average rate…

A: Average rate of change of constant function fx=b Rewrite;              y=b…

Q: ladder 5 meters long is leaning against a vertical wall. Due to the smooth floor, the foot of the…

A: Given query is to find the rate of change of y with respect to x.

Q: The average rate of change of a function over an interval is the same as the instantaneous rate of…

A: Given that the average rate of change of  a function over an interval is the same as the…

Q: Find the rate of the change of the function f(x)=-cscx-sinx

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Q: The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by…

A: In the given question, concept of integration is used. Integration The process of finding the area…

Q: The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by…

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Q: Compute the average rate of change of m(x)=x4  over the interval [a, a+x]. Simplify the expression…

A: Given:  m(x)=x4  To find average rate of change of the given function over the interval [a,a+x]

Q: Graphically, the instantaneous rate of change of a function at a specific x-value can be estimated…

A: Given: The below four statements are given: (a)Determining the slope of a single secant line on the…

Q: 6 on the interval [-3,3]| Find the average rate of change of g(x) = 4x3 x2 Deavia

A: The average rate of change of a function g(x) in the interval (a, b) is given by the expression…

Q: Find the instantaneous rate of change of f(x) = x* at x = 3. %3D Find the derivative of g(x) = x + x…

A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate…

Q: Find the average rate of change of the function on the interval specified for real number h. f(x) =…

A: We will use the average rate of change formula. f(x+h)-f(x)h

Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: A Cepheid variable star is a star whose brightness alternately increases and decreases.The most…

A: The rate of change of a function f(t) is the first derivative of f(t) with respect to t.