y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivative, what is the point of inflection Explain the implications of the point of inflection

Q: Slope of a line tangent to f 1x2= 2x Estimate the slope of the line tangent to the graph of ƒ1x2= 2x…

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Q: point (1, 0). Plot both f(x) and the tangent line on the same set of axes (label both). On a new set…

A: Given that: The cubic polynomial f ( x) = x 3 - x , point = ( 1, 0).

Q: Analyzing critical points Find the critical points of the following functions.Use the Second…

A: Given function is

Q: Having a hard time answering 7 and 8.

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Q: Consider the cubic polynomial 1(X) =X - X. Find the equation of the tangent line of f(x) at the…

A: Topic:- application of derivatives

Q: Continuity of multivariate functions

A: Here we will find the limit of the function.

Q: lim x1/3-1/x1/2-1 as x approaches 1 I don't understand how to deal with cubic root in this situation…

A: Given that

Q: Find the slope of the graph of the function f(x) = V3x at (3,3). Then find an equation of the line…

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Q: The function f ( x ) = 2 x 3 − 27 x 2 + 108 x + 9 has one local minimum and one local maximum. Use a…

A: Let's find.

Q: (iv): A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the corners. The…

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Q: Diffrentiation Formulas (derivative) Determine where, if anywhere, the tangent line to…

A: Let's find.

Q: A rectangular box with volume 182 cubic feet is built with a square base and top. The cost is $1.50…

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Q: Boxes are made from rectangular cardboards 6 inches by 14 inches. To form the box, squares are to be…

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Q: erform a first derivative test on the function f(x) =x/4-x² ;[- 2,2]. . Locate the critical points…

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Q: Elimination of arbitrary constants.

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Q: Linearizations at inflection points Show that if the graph of a twice-diŽerentiable function ƒ(x)…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Local max /min of x1/x Use analytical methods to find all localextrema of the function ƒ(x) = x1/x,…

A: The given function  fx=x1x

Q: A two-variable function is given as an example below. First of all, in the terms of the function in…

A: Given the function is fx,y=x3-12x+12y2-3xy+30. Find the critical points of f and identify them.

Q: USING MAPLE plot the following polynomial: y = 4x^2 + 2x^3 - x^2-(1/2)x - 3 and a) determine its…

A: As per the question we have the following function : y = 4x2 + 2x3 - x2 - (1/2)x - 3 And we have to…

Q: Finding the Slope of a Tangent Line InExercises 9–14, find the slope of the tangent line tothe graph…

A: Given, The function f(x)=2x2-3  The curve can be differentiated to find the Slope of the tangent.…

Q: Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the​…

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Q: f(x) = 2x-3/4

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Q: Use the first derivative test to find the relative maxima and minima of the function f(x) = 3x* +…

A: We find the first derivative and second derivative using the power rule

Q: Slope of a tangent line Let f(x) = 2x 3 - 15x 2 + 24x. For what values of x does the line tangent to…

A: Here,f(x)=2x3-15x2+24x.Now,f'(x)=ddx(2x3-15x2+24x)       =6x2-36x+24

Q: Elimination of arbitrary constants

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Q: 5. A rectangle is bounded by the x- and y- axes and the graph of y= 12-3x as shown. Find the…

A: Use first derivative test

Q: Polynomial passing through the points (1.3), (2.7), (3.14), (4.17), (5.30), (6.33) Estimate its…

A: Introduction: When the x-data points are equally spaced, in that case, we apply Lagrange or Newton's…

Q: Find the linearization of the function f(x)=13x+2 at x=−1. L(x)= x The exact value f(x) The…

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Q: total revenue and total cost functions for the production and sale of x TVs are given as R(x) =…

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Q: Derivative: Long Method(limits). Evaluate x=1/2 t^4 - 5t -3

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Q: a) Determine the domain of the function f (x) = √1 − x2. b) Calculate its derivative. Study the…

A: given function fx=1-x2

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8…

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Q: Use an example to show how to use the Second Derivative Test for critical points.

A: Consider a function f(x)=-2x3+36x2-210x+8

Q: Sixth derivative of a sixth degree polynomial is a line. Select one: O True O False

A: Given : Sixth derivative of a sixth degree polynomial is a line. To find: State whether the above…

Q: 2. f(x) 3. f(x) = (56x – 3)(4x +5) = 56x - 32x + 16x - 10 4. f(x) = 2x-6 x+3

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Numerical Methods Find the numerical second derivative value of f ''(0.5) from the dataset using the…

A: Introduction: When the function values are given in tabular form instead of explicit definition, we…

Q: Derivatives from tangent lines Suppose the line tangent to the graphof f at x = 2 is y = 4x + 1 and…

A: Given that: Tangent line of f at x=2 is y=4x+1⇒f(2)=9And slope of tangent line of f at x=2 is 4(i.e…

Q: A piece of wire, 370 cm long, is to be bent into an isosceles triangle. What should the exact…

A: Given that a wire is 370 cm. So, a+b+c=370 Since triangle is isosceles triangle So, let's  assume…

Q: Test for relative maxima and minima. Use the second-derivative test, if possible. y = x3 - 12x +3

A: Given  y=x3-12x+3 The the first derivative is y'=3x2-12 The critical points are those points at…

Q: A quadratic function f(x) = x3 + 3 x2 + 4 x + 3 has an inflectional tangent y = 2 x + 4 at ( -1 , 1…

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Q: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

A: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

Q: Instead of using the tangent line to estimate the value of the functions, we could estimate when the…

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Q: Perform a first derivative test on the function f(x) = x 16-x:(-4,4). a. Locate the critical points…

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Q: Using two phase method if min f-0.go to phase II

A: this is true because if we use two phase method than minf=0 convert in maxf=0

Q: A function and its graph are given. Use the second derivative to locate all x-values of points of…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.