Evaluate the function f(x) = 0.9x when x = 1.4. Round to the nearest hundredth.

Q: For the function y = 5x3- 4x a. Determine the average rate of change between x1 = 3 and x2 = 5.…

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Q: The number of bacteria in a culture is given by the function ?(?) = 350?^0.8?, where t is measured…

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

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Q: Find the average rate of change of f(x) 82? 9 on the interval 3, b. - Your answer will be an…

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Q: Find the average rate of change of f(x) = 3x² – 9 on the interval [3, a]. Your answer will be an…

A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

Q: se the graph of the function to find its average rate of change from x= 1 to x = implify your answer…

A: Given query is to find average rate of change from the graph.

Q: For the function y=x2,compute the average rate of change between x=9 and x=10

A: We have to find the average rate of change of function.

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.3​% per year.…

A: To solve the following problem

Q: Q5 Find the instantaneous rate of change at 2 for: f(x) = 6x2-9x -6

A: The given function is,

Q: Given the function g(x) = -x² + 6x + 15, determine the average rate of change of the function over…

A: The average of a function over an interval is given by . The given function is and the interval…

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: fx=x2  &  gx=2x Concept used: Let fx & gx be positive for x sufficiently large. fx grows…

Q: Prev What is the average rate of change of f(x) from x nearest hundredth. = -9.4 to x2 = 7.7? Please…

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 780…

A: Given :  Cost function :  C ( x ) = 780 + 35 x - 0.063x2  Find the rate at which average cost is…

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10.…

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10

Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A: The graph is shown below:

Q: The number of applications for patents, N. grew dramatically in recent years, with growth averaging…

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Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1     →both function are growing with the same…

Q: Given the function g(x) = -a² +5x +14, determine the average rate of change of the function over the…

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Q: The amount of money present in an investment account can be modeled by the function S(t) =…

A: Put t=10 find s(10) and find growth rate

Q: Calculate L6 for f(x) = \6x + 1 over [1,3]. (Give your answer to three decimal places.)

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Q: c. Use function notation to represent the change in Sam's height above the ground over the time…

A: (c) The function notation to determine the change in the "S" height from t=4 to t=10 seconds is,…

Q: The Montag Family purchased a house in 2020 and expects its value (in thousands of dollars) t years…

A: Here, modeled function  V(t)=310(1.08)t    Which means initially price of the house is 310 thousands…

Q: For the function f whose graph is shown, list the following quantities in increasing order, from…

A: ∫0xfxdx represents the area under the curve where the area above the x-axis is positive and the area…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That…

A: Nt : the number of applications for patents ---------------------------------------------------…

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 <= x<= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: (a) N'(t)=0.041N(t)dNdt=0.041NdNN=0.041dt∫dNN=∫0.041dtln N=0.041t+celn…

Q: Find the average rate of change of g(x) = 52 + 5 from x = 2 to a 2

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

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Q: The annual amount of energy produced in a country from dry natural gas (in tnillion cubic feet) can…

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval (3, b]. Your answer will be an…

A: Finding the average rate of a function in a given interval

Q: Find the average rate of change of f(x) = 3x2 - 2, from 2 to 4.

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Q: Use the functionf (x) = x² + 10 to answer the following question. %3D Over which interval is the…

A: The given function is fx=x2+10. Compute the average rate of change for the interval a<x<b as…

Q: Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in…

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Q: Use the graph of the function to find its average rate of change from x=-4 to x=2. Simplify your…

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Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: Find the average rate of change of f(x) = 6x? - 2 on the interval (3, a].

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Q: The function f(x) = 4ᴫx2 describes the surface area, f(x), of a sphere of radius x inches. If the…

A: Given: The surface area of a sphere is, fx=4πx2 . Radius of the sphere is, x=6 inches. The…

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.1% per year. That…

A: Solve the differential equation by variable separation method. Use the initial condition to…

Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let f(x) and g(x) are two functions. 1) If limx→∞fxgx=∞ then f(x) grows faster than g(x) as x→∞. 2)…

Q: Describe how to detumine the rate of Change between X = 1 and X - 3 for the function flx) = 3x3+1.…

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Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Given:- F(x) = 21/√x To find:-  (a) increasing (b) decreasing. (c) where the relative extrema occur.…