Inflection points Does f(x) = 2r³ – 10x* + 20x³ + x + 1 have any inflection points? If so, identify them. %3D

Q: 8. Using leading coefficient test, what could be the behavior of the graph of f(x) = -x3 + x² – 19?…

A: 8) If the leading coefficient of a cubic polynomial is negative then , then the value of the…

Q: ollowing equation for x. Express your answer in the 5x (-8x -8) = -8 (8 - 8) – 10 -- -

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Q: Finding a constant Suppose x2 – 5x + 6 if x + 3 f(x) = х — 3 а if x = 3.

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Q: nction f(x) = find f-1(x). 3x+2 2+x

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Q: using the equation f(x) = 3x6-4x5 (A) What are the x values of the local minima? (B) What are the…

A: How to find local minima: first, find the derivative of the function. equate f'(x) to 0 to find the…

Q: Vertex: Axis of symmetry: X f(x) = −(x + 1)² + 2 -10 -8 -6 -4 -2 10- 8- 6- 4 2- -2- -4- -6 -8- F~ 2…

A: Concept: Vertex: on the parabola, the greatest and lowest pointsAxis of symmetry: It's the straight…

Q: Revenue Suppose the revenue from the sale of x coffeemakers is given by R(x) = 52x - 0.1x2. Graph…

A: Revenue function is: Rx=52x-0.1x2

Q: Find the relative maxima and relative minima, if any, of each function and label them. State both…

A: To Find the relative maxima and relative minima f(x)= -x2 + 6x + 7

Q: 2. For the function g(x) = -2x² a. vertex b. axis of symmetry c. root(s) ototion

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the area of the region bounded by the graphs of the given equations. y = 8x-x´, y= 3x The area…

A: Given equations are

Q: QI Find f'(2) for (x³ – x)(x² + 2)(x² +x – 1) f(x) = %3D x + 2

A: Here I am attaching image so that you understand each and every step.

Q: pidemiological study of the spread of a certain influenza strain that hit a small school population…

A: Given:- The total number of students, p(t) who contracted the flu t days after it broke out is given…

Q: = x3 – 12x2. Find the intervals on which f is increasing or Let f(x) decreasing, and find any local…

A: Intervals on which f is increasing or decreasing and local maximums or minimums.

Q: Cluestion. 1: Let flx): x²-9 , x +- 3. x - 3 k²-5k+6,x = -3 Find value of k for which limflx)=f(-3).…

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Q: Area If 25,000 feet of fence are used to enclose arectangular field, the resulting area of the field…

A: A=(12500-x)x

Q: f (x) = 2x3 + 3x2 – 12x + 3, inflection points and intervals Determine the relative extreme values…

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Q: F1x2 = - x4 + 8x2 + 9(a) Determine whether F is even, odd, or neither.(b) There is a local maximum…

A: Consider the function: fx=-x4+8x2+9. (a) Calculate f-x by replacing x by -x in fx=-x4+8x2+9 Since…

Q: the graph of f(x)= x^2-1 is horizontally stretched by a factor of 4.5. write the equation describing…

A: If a function g(x)  is stretched horizontally by a factor of k then the resulting function will be…

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

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Q: Evaluate the definite intergal. Use a graphing utility to verify your result.

A: To evaluate the definite integral by suitabale substitution and verify the result

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A: Consider the given equation,…

Q: Number of Turning Points Polynomial Function and Sketch Degree 1. у%3 х (х + 2)(х — 3) 2. y = (x +…

A: Given the polynomials

Q: Revenue The price for a product is given byp = 100,000 - 0.1x2, where x is the number ofunits sold,…

A: R=100,000-0.1x2·x a. Put R=0 in R=100,000-0.1x2·x, we get ⇒100,000-0.1x2·x=0⇒100,000-0.1x2=0  or…

Q: Applied Optimization A farmer wishes to enclose two identical adjoining rectangular pens against the…

A: To find the least amount of fence. Given information: Two identical rectangular pen area where each…

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

Q: Ise Lagrange multipliers to find three positive numbers whose sum is 160 and whose product is…

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Q: y = -x^3+6x^2+63x-100 Find and show work - Local maxima = ? Local minima = ? Inflection Points =

A: Given:y=-x3+6x2+63x-100y=x3-6x2-63x+100Local maxima d2ydx2<0Local minima d2ydx2>0Point of…

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

Q: Pollution A marshy region used for agricultural drainage has become contaminated with selenium. It…

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Q: the profit function for a computer company is given by p(x)=-x^2+25x-23 where x is the number of…

A: Here we use the concept of derivatives

Q: limits justifying 1.E valvate the (l answers with CalcUlativns or expianution- part Ai lim x²-X-6…

A: Topic = Limits

Q: Using the concept of maxima-minima find three positive numbers, whose sum is 30 and whose product is…

A: Let x, y, z be three positive numbers, whose sum is 30 i.e. x+y+z=30            . . .(1)

Q: The function f(x) = 6x° +9x2 - 1008x- 8 is decreasing on the interval Enter your answer using the…

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Q: Electrical generation from wind turbines (large "windmills") is increasingly popular in Europe and…

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Q: Absolute minimum value of the function f(x) = 2+ 6x2 – x³ - on the interval [-3, 2] is Select one:…

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Q: 5. Find the extrema (absolute maximum / absolute minimum) of the function f(x) = x³ – |x² + 5x + 6|…

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Q: 9(x) = 6x² – 2 is increasing and decreasing. Determine the types of local extrema of f and their…

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Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is…

A: Consider the given input-output function, Rx=-25x3-4x-4, on the interval 0≤x≤3. The point of…

Q: Find all critical points of f(x) = 6x³ + 6x-3. %3D (Use symbolic notation and fractions where…

A: The given function is- fx=6x3+6x-3 To find critical points of the function, dfdx=0 Thus,…

Q: The function f(x) = 2x -27x2 +48x +8 has one local minimum and one local maximum. Use a graph of the…

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Q: Find the absolute maximum value and the absolute minimum value of the function on the given…

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Q: a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function fx)=…

A: (a) Consider the function, fx=x4+8x3+19x2+12x   at   x=-2 To calculate the value of function at x=-2…

Q: A region is bounded in the first quadrant by the graphs of x=y2+2, x=8-y, and the x-axis. Find the…

A: We have to find area bounded by the region bounded in the first quadrant by the graph of x = y2 + 2,…

Q: A rectangle has one vertex on the line y = 10 - x, x > 0, another at the origin, one on the…

A: Given: A rectangle has one vertex on the line y = 10 - x, x>0, another at the origin, one on the…

Q: uestion 5 ( ) Algebraically show that f(x) = 5x2 + 2, x <0 is one-to-one and find f-).

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Q: Find the maximum and minimum values of the function f(x) = x 64x x+4 on the interval [0,15]. The…

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Q: USING QUOTIENT RULE DIFFRENTIATE 2x-1 x+1

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Q: Revenue The revenue from the sale of a product isgiven by the function R = 4000x - 0.1x3dollars.Use…

A: Solution:GivenR=4000x-0.1x3To find how many units should be sold to give a revenue of atleast…

Q: The function f(x) = 4x³ - 18x2 - 48x + 2 | is decreasing on the interval Enter your answer using the…

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