The number of bacteria in a refrigerated food product is given by N(T) = 22T2 - 128T + 58, 6

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: Find the average rate of change of the function f(x) = 2x² + 16x + 28 on the interval [-3, –3 + h].

A:

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: dP dt т 1- kP 1- M

A:

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

A:

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

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

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

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: Q1. For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

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Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: Find the average rate of change of the function f(x) = x² -3x + 5 between x = 0 and x = 2.

A:

Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: the temperature of a pot of coffee after brewing can be determined by the function…

A: Given temperature function is: F(t)=104e-0.0245t+76

Q: Consider the function y = (-3x - 5)2. Using the values x = -8 and Ax = -0.5, calculate A y - dy.…

A: Given:  y=-3x-52x=-8△x=-0.5 We have to find △y-dy.

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: for f(x)=2x4-5x3+7 find all potential points of inflection and map the intervals where the function…

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Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

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: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100x0.6,0.4, where…

A:

Q: What is the Average Rate of Change for the function f(x) = x² + 7x - 4 over the interval [0, 2]? You…

A: Follow the procedure given below.

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: 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: Find the average rate of change of the function f(x) = −x2 + 8x − 4,from x1=0 to x2=4.

A: The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)b−a we have that a=0  , b=4 ,…

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 f(t) (measured in kph) of traffic in a certain municipality between 4 PM to 8 PM…

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: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

A:

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

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: R(x)=24x-0.010x20≤x≤2400 To find average change in revenue apply formula…

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks…

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

A: It is given that the average speed of traffic is approximated by the function ft=20t-40t+50. We have…

Q: The average value of the function f(x)=x² on the interval [0 , b] is 12 What is the value of b ?…

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Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in…

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Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

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

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

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

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: Show that a function f decreases most rapidly at x in the direction opposite to the gradier (that…

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

A: