Find the relative rate of change of the function f(t) = 4.5t-4 using d In f(t). dt the formula d In f(t)= dt

Q: 7x ar Find the rate of change of total profit, in dollars, with respect to time where R(x) dx C(x) =…

A: Given that: R(x)=7xC(x)=0.06x2+0.6x+80

Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

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Q: dy Contaminated water is being pumped continuously into a tank at a rate that is inversely…

A: In this question we are given with the relationship and the initial conditions by which we have to…

Q: What is the closest value to the instantaneous rate of change of the following function at x = T?…

A: Ans:  Given  fx=2 cosx-π2  at  x=π          ⇒fx=2cosx coπ2+ sinπ2         ⇒fx=2cosx 0+sinx1…

Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

Q: Given that x and y are functions of time, find the indicated rate of change dx/dt, when x = 2, y =…

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Q: Find the relative rate of change of the function f(t) = 7.4e-0.6t using %3D d In f(t). dt the…

A: Solution is given below:

Q: A cold air mass approaches a college campus so if the temperature is T (t) degrees Fahrenheit t…

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

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Q: The population of a culture of cells grows according to the function P(t)=60t/t+1, where t is…

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Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

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Q: de Given that Q = find the rate of change of Q with respect to x. sec x %3D Va5+3'

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Q: 5. If f (t) = -3t° + 7t, describes the movement of a whale in meters. What is the average rate of…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 2 and dt dx…

A: Compute the value of y as follows.Substitute x = 2 in x3 + y3 = 16.

Q: 1. For the function f (t) = t² – 4 over the interval [-1, 3], find a. the net change b. the average…

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

Q: Given that x and y are functions of time, find the indicated rate of change. dx Find when x = 4, y =…

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Q: Find the average rate of change of the function over the given interval. f(t)= 4t+9…

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Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

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

Q: Find the average rate of change of the function over the given interval. f(t) = 6t + 9, [2, 4]…

A: The derivative of the function gives the instantaneous rate of change of the function. since the…

Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

A: Solution:GivenC(t)=P(1.05)t

Q: dx In the equation, x2 +y2 = 45, what is the value of the rate of change in y with respect to time t…

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per…

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Q: By direct calculation, estimate the value of df/dt for f(x) = 1/x^2 at x=4. Use an increment of…

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Q: Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =

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Q: et Q(t) = t2. Find a value A + 1 such that the average rate of change of Q(t) from 1 to A equals the…

A: Given query is to find the value of A for which average rate of change will be equal to…

Q: Find dy for the given values of x and Ax. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

Q: Find the maximum rate of change of f(s,t)= te^{st} at the point (0,5).

A: In this question we have to find the maximum rate of change.

Q: Find the maximum rate of change of f(s,t)=te^(st) at the point (0,−5).

A: We have to solve

Q: 1 What is the instantaneous rate of change of Y at x = 2? O -1 none of these -1 1 3 4

A: Given : y = 1/x

Q: The average rate of change of f(x)=mx+b on the interval a,c is: В. 1 С. т А. 0 тс -та + 2b D. E.…

A: Let f(x) be any function.Then, Average rate of change of f(x) over [a,c] = f(c) - f(a)c-a

Q: Find the average rate of change of the function over the given interval f(t)=2t+3    [4,6] =…

A: Consider the given function: ft=2t+3 ; 4,6 Here, the objective is to find the average rate of change…

Q: The equation for the amount Q of an antibiotic in the bloodstream at time t is Q = Ae-kt. %3D dQ 1.…

A: Q=Ae-kt Q is the amount of antibiotic in the bloodstream at time t Now we take derivative at time t…

Q: The number of bacteria in a culture is given by the function n(t)= 905e^0.15t Where t is measured…

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Q: A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with…

A: Unit Conversion Formula:

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x…

A: The function y=3x+2 over the interval 0,3

Q: A cake is removed from an oven and its temperature is 350°F. Assume room temperature is 70°F. Five…

A: Given that the initial temperature of the cake is 350°F and after 5 minutes temperature varies to…

Q: Find the average rate of change of g(r) = 5x - 1 from z - 2 to z = 1 =D1 =

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the average rate of change of the function over the given interval. f(t) = 6t? - 3, [1, 1.1] |x…

A: Given: f(t)=6t2-3,  [1,1.1] Formula used:

Q: Determine the average rate of change of the function y = cos x from x = 4 77 to x = 4 v2 V2 2 2

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Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

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Q: Estimate the instantaneous rate of change ot P(t) = 3t?+4 at the point t= -2,

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,…

Q: Find the relative rate of change of the function f(x) = e" (3x – 2)" at I = 0. Round your answer to…

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Q: 3. Find the average rate of change of the function f(x) = sin x, [0, t/6] over the given interval.…

A: The given function is  f(x)=sin x

Q: - If a particle's position at a time t is given by f (t) = t³ + 1, i. Find its average velocity over…

A: f(t) = t3 + 1 i. Average velocity over the interval [-1,1] is given as

Q: The population ( in hundreds ) of fish in a pond is given by P(t) =2t + sin(2t – 10) t months from…

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Q: Find a function f satis fying the equation | VF()dt = ælnæ.

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