linearization

Q: Determine the smallest value of the constant a for which the graph of the function f(x) = a^x−x is…

A: Since f(x) should always be greater than x axis ⇒f(x)>0ax-x>0ax>xTake log both…

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Suppose that f is a linear function with slope -3.4 and that f (3) = 4. What value of x gives f(x) =…

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Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: The area of a rectangular garden is 125 square feet. The garden is to be enclosed on three sides by…

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Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A: The cost to produce a certain commodity is given by the function C(x)=50x+2000. The corresponding…

Q: Determine the linearization of the function f ( X) = (√4X+ 1)  at x=6. Use that linearization to…

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Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2? * Decreasing…

A: Given: fx=2x3+300x3+4

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

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Q: Find all relative extrema of the function ƒ (x) = 2x° – 6x + 1 %3D

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Q: Find the slope of the function f (x) = x 3 + 3x 2 + 3x + 1 at x = 0 1 0 3

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 7x² – 5x

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 4x+ + 16x² + 16x²

A: Given that     f(x)= 4x4 + 16x3 + 16x2. Appropriate the curve of this given function f(x). We use…

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: Find the equation of the line tangent to the graph of the given function at the point with the…

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

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

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

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Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: Find the absolute maximum value of the function f(x) = 5(x - e

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Q: Find the relative extrema of the functions f(x)=-4x2-32x-62 Identify any maximim or minimum by using…

A: To find relative extremas first we need to find critical points. These are the points where first…

Q: Consider the function f(x)=2√(x)+3 on the interval [4,5]. Find the average or mean slope of the…

A: The mean slope is given by: f(5)-f(4)5-4=f(5)-f(4)1=f(5)-f(4)

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Consider the function f(x) = 2x interval - 2, 2|. Find the average or mean slope of the function on…

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Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)

Q: The elevation of a path is given by f(x) = x^3 - 5x^2 + 30, measured in feet, where x measures…

A: The elevation as a function of path is given below.

Q: 6. Find the values of x for which the line tangent to the graph of f (x) = 4x2 – 3x + 2 has a…

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Q: What do all members of the family of linear functions f(x) = 1+m(x+3)have in common? Sketch…

A: Given: The linear function, fx=1+mx+3.

Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

Q: 4. Given the functions X, (x)-(+) and (x)-(+) = = rapidly than f₂ f increases fill in the blank…

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Q: Find the slope of the secant line between x = -3 and x = -1 on the graph of the function f(x) = 3x²…

A: Given function, fx=3x2-x+3We have to find the slope of the secant line x=-3 and x=-1 on the graph of…

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: