The number of bacteria in a refrigerated food product is given by N(T) = 25T2 - 76T + 22, 3

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Q: Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the…

A: We have  fx=-x2-14x-2 Find the average rate of change of function fx over an interval a, b=-7, 1 is…

Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

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Q: For the function y = -2+5 sin (x-2), what is the maximum value?

A: Given,Function y =-2+5sinπ12(x-2)

Q: Find all critical points of the function. f(t) = t - √(t + 1)

A: The critical point of the function f(t)=t-t+1 is obtained by equating the first derivative of the…

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A: In the given question, concept of limit on maximum concentration is applied and asymptote is clearly…

Q: Find the maximum sustainable harvest of the given function. f(S) = 24S025, where S is measured in…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: 2. Identify the iterative function f(x) = x3 – 9x2 – 6 if initial approximation x, = 2.25

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Q: Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the…

A: The formula for average rate of change of a function fx over a interval a,b is given as, Average…

Q: The average speed f (t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

A: The average speed function f(t)=20t-40t+50 is in terms of time t. The derivative of the function…

Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

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Q: Find the average rate of change of the function f(x) = x2-40x+28 over the interval [10, 50].

A: topic - average rate of change of function over interval

Q: Suppose that t hours after the injection of x milligrams of adrenalin the response is R units, and…

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Q: Find the critical points of the function f(z) = 3z - 9z.

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Q: Find the Quadratic approximation of the function at the given value f(x) = 1n(x + 1)     near a = 0

A: Given  The function is f(x) = ln(x + 1)     near a = 0 .   Formula for Quadratic approximation :-…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

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Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: find the critical numbers of the function

A: Firstly, we find h'(t) for given function h(t)

Q: find the critical point and classify the function f(x,y)= x3 +y3 - 6xy

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

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Q: Find the average rate of change of the function f(x) = - 2x – 7x + 8, over the interval [-1,1]. -…

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Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

A: The revenue function and the cost function is given as:…

Q: In a certain city, the normal average temperature (in degrees Farenheit) is modeled by the function…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

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Q: A Detroit-based oil company estimates that for the next several months, oil will be pumped (in…

A: A(t) =integration of R(t) dt  Amount for three years put t=3

Q: The average rate of change of the function f(x) = 12x + on the interval [1, 4 is %3D O 11 O -11 O 13…

A: We have to find the average rate of change from the given interval.

Q: At any time t, the rate of growth of the population / of deer in a state park is proportional to the…

A: Solution of given question is written in below steps.

Q: Suppose that t hours after the injection of x milligrams of adrenalin the response is R units, and…

A: The response after t hours of x mg of adrenalin is R=te-t(c-x)x where c is any constant. We want…

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x? – 12x + 5 b) Determine…

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Q: During a 40-minute workout, a person riding an exercise machine burns calories at a rate of c…

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Q: Find the average rate of change of the function f(x) interval1 ≤ x ≤ 6. none of the above 162/8 34…

A: I have given the answer in the next step. Hope you understand that

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: Find the critical numbers of the function.   g(t)  =| 3t - 4  |

A: Given function:

Q: Consider the function f(x, y) = e^(10x - x^2 -10y - y^2). Find and classify all critical points of…

A: The given question can be solved as shown in step 2.

Q: Find the critical point of the function f(x,y) = 7x²y² + 4y² + 4x².

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Q: A department store has found that its value of sales (z) depends on the mumber of advertisements in…

A: Given that number of advertisements in circular = x number of advertisements in news papers = y…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=700e0.24t…

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Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: For t > 4, the turkey is removed from the oven and the function T that models the temperature of the…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) = 0.7t2 + 0.265t +…

A: Derivative indicates the rate of change. Positive derivative meaning positive slope, which indicate…

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.