e - 3) (5ӕ+1) (x-2)(x-3)(x+2) ↑ (х-4)(х — Let f (x) What are the x-intercepts for this function?

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: Having a hard time answering 7 and 8.

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Q: f(x) -4 4 -2

A: Topic = Coordinate geometry

Q: f′(x) = (x2 − 3x)(4x + 2). (a) Find by hand all solutions to the inequality f′(x) < 0. Express your…

A: Zeros of the f'(x) are x=0, x=3 , x=-1/2  Then we make a number line and pick a test point from each…

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

A: Let's find.

Q: snip

A: Given: Daily cost of manufacturing bicycles is given by C(x)=80x+5000also average daily cost is…

Q: f(x)= -2/(x-2)(x+4)   How do I graph this and how do I find the "holes"

A: Given function is fx=−2x−2x+4 We have to draw a graph of the function fx=−2x−2x+4 The given function…

Q: The point (- 2, 20) is on the graph of y = f(x). a) A point on the graph of y = g(x) , where g(x) =…

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Q: Find the x-coordinates of all local maxima using the second derivative test. g(x)=x^9−3x^7+2

A: We need to find the x-coordinate of all the local maxima using the second derivative test.…

Q: A pharmacy mixes different concentrations of saline solutions for its customers. The pharmacy has a…

A: Given: y=1000.05+x0.005100+x To find: The value of x

Q: a) Find a function ƒ such that f'(x) = 4x² – 2x – 1 and f (-1) = 2 %3D b) Find the function g such…

A: Given: f'x=4x2-2x-1, f-1=2 for finding functionfx, we integrate f'x so,…

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line

A: We will find the equation of the line.

Q: The utility function of a certain good is given by U(x) = 60x - x2 where x represents the number of…

A:

Q: 6. Find the slope of the line tangent to the graph of the function y= x +3x+4 at x 0. Find the slope…

A: Question 1,Given,            The function is y=x2+3x+4 at x=0.

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

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Q: 7X Find the slope of the graph of the function g(x) = X- 1 at (2,14). Then find an equation for the…

A: Slope of the particular equation is given by derivative of that function dy/dx and then we will put…

Q: First and second derivative test? y=x2-9 Numerator      x-5   Denominator Quotent Rule…

A: To find the first and second derivatives of  y=(x^2-9)/(x-5)

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope of the tangent line is the derivative of the given function. So differentiating f(x) with…

Q: Linear function f (x) = x is graphed on a coordinate plane. The graph of a new line is formed by…

A: To write which statement is true

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: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

A: Consider the given equation. fx=3+9x2+6x3 Calculate the first derivative of the function.…

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: 6. The y-intercept is 7. The function is increasing for all values of x. The function is positive…

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Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative…

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Q: 1. the derivative of a function f is given by the formula x2 – 2x - 3 df (x) dx x - 1 (a). There is…

A: The expression, f(x)g(x) is undefined, if g(x)=0 . For the expression, f(x)g(x) , if g(x)≠0, and…

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions. ƒ(x) = 3x3 + 5x2 +…

A: the given function is: f(x)=3x3+5x2+6x we have to find f'(x), f''(x) and f'''(x).

Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

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Q: Realice la gráfica f(x) = 2x +2

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Q: The equation of tangent as we know (y-y0)=m(x-x0) m is the slop at (x0,y0), find the equation of…

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Q: (x)=6x^3-216x+9 [-4,5] Find the absolute maximum and absolute minimum values of f on the given…

A: we have to find absolute maximum and absolute minimum values of f on the given interval .

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: To Determine: Find the slope m and an equation of the tangent line to the graph of the function f at…

Q: 8 (x) = -x Plot five points on the graph of the function: one point with x 0, two points with…

A: Given  g(x)=-x2

Q: a. Use the Intermediate Value Theorem to show that the following equation has a solution on the…

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Q: 0&lt;x&lt;2pi F(x)=-4cosx G(x)=2cosx+3 graph f(x) and g(x) on the same coordinate system for…

A: Given,

Q: EXAMPLE 1 Find where the function f(x) = 3x* – 4x³ - 120x? + 1 is increasing and where it is…

A: Given: fx=3x4-4x3-120x2+1 Derivative given function with respect to 'x' . f'(x)=12x3-12x2-240x…

Q: 3 For f(x) = 7 +x? the slope of the graph of y = f(x) is known to be - at the point with…

A: At find f(x) at x=3 f(x)=17+x2f(3)=17+32f(3)=116So the point is 3,116

Q: given function. f(x) = (2x+3x-)(2x³-3x-) a. -444 Find the first derivative (f/(x)) of f(x). b.…

A: We can find the derivatives of given problem.

Q: y=1/5x^3 -square root of x^2+1 find the domain, x and y intercept, where it increasing and…

A: Given function is f(x)=15x3-x2+1   To Find: The domain, x and y intercept, and where the function is…

Q: Find the x- and y-intercepts of the graph of the equation. f(x) = 5x − 15 x-intercept     (x, y) =…

A: To find the intercepts set x and y = 0 f(x) = 5x - 15 or the line can be written as y = 5x - 15 For…

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

A:

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: 3. Let f() --2x (x² - 9)x' -1) Determine the degree of the funcion. Determine the leading…

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Q: 5. Linear function ) = x is graphed on a coordinate plane. The graph of a new line is formed by…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: First we need to find inflection point:

Q: Which of the following best describes the slope?

A: At x=0 the graph is going downwards.

Q: f(x)=2(x+3)^2-8 x-intercepts: y-intercepts: increasing interval: decreasing interval:

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Q: a) Give an equation of a polynomial function whose derivative would best be calculated with the…

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Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions. ƒ(x) = 5x4 + 10x3…

A: We have the given function as fx=5x4+10x3+3x+6…

Q: f(x)=-3(x-5)^2+54 x-intercepts: y-intercept: increasing interval: decreasing interval:

A: The given function is  f(x) = -3(x-5)2+54 For x-intercept we take f(x) =0 and then we solve for x.…