Use a linear approximation of the function below at x=−3 to approximate the value of f(−3.1). f(x)=8x+6/3x+7

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

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Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Where does the relative maximum value of f occur when f' (x) = x³ – x ? (а). —1 (b). О (c). 1 (d). 2

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Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: Find the linear approximation to the following function at the given point a. ƒ(x) = e3x - 6; a = 2

A: Given,f(x) = e3x-6at a = 2

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

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

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Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

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

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

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Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

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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: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

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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: 1- at 9=0

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Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

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Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

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

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Q: Find the linear function with f(1)= 3 and slope 6. Select one: O a. f (x) = 4x + 6 O b. f(x) = 6x -…

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Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & ≤…

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Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Produce the linear approximation of the given function at the specified value. f(x) = sqrt(x); x =…

A: fx=x,  x=2 Differentiating with respect to x, we get f'x=12x Now at x=2, f2=2  &amp;  f'2=122

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: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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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: Point of diminishing return is the point where d2Rdx2=0

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

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Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = x3 - 5x + 3; a…

A: Given The function f(x)=x3-5x+3 and the value of a=2. The expression for the linear approximation is…

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

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Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

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