Find all zeros (real and complex) of  f(x)=x^3-3x^2+x-3

Q: Let f(x)=x² -3x+5. Show that the average rate of change of f (with respect to x) on an arbitrary…

A: Average rate of change = (f(b)-f(a))/(b-a) Instantaneous rate of change =f'(a+b/2)

Q: For square root functions sho

A: Given,       f(x)=--(x+4)

Q: how to write functions in a factored form

A: Given a function. To write the function in factored form, We equate the given function to zero. We…

Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

Q: of function

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Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: Find the exact location of all relative and absolute extrema of the function ƒ (x) = 2x² + 8x +1…

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Q: find the inverse of the function. (Enter the domain using interval notation.)  f(x)=4x-8 in square…

A: We have to find

Q: Use Mean value theorem to show that (1+ x)' 2 (1+2x).x21.

A: Mean value theorem: Let f be a continuous function on the closed interval a, b and differentiable on…

Q: Use intermediate value theorem to show that f(x) = -x3 + x2 + x + 1 must have at least one zero on…

A: Given: fx=-x3+x2+x+1 &amp; interval 0,2 To show: The given function must have at least one zero on…

Q: Show that f (x) = 2x2 -3 is an even function. Explain why itsgraph is symmetric about the y-axis.

A: Here given fx=2x2-3   A function is said to be an even function if f-x=fx Now…

Q: Please answer number 1 use 4 decimal places. Find the positive real root of f(x) = x^4- 8x^3-35x^2 +…

A: Given function: fx=x4-8x3-35x2+450x-1001 Solve the equation using bisection method.

Q: Find the 도ite d Point of the Folowing Functionse 2. x3

A: Given function is F(x) = x3 + x2 - 9x + 8

Q: The equilateral trianhle is inscribed in a circle of radius 6r. Express the area A within the circle…

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Q: Use elimination of arbitrary constants

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Q: What is the zeros of this function?

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Q: Use algebraic notation to show how to transform the red function into the blue functi

A: Let f(x) be the curve denoted by red colour. Then the curve in blue is denoted by -f(x).

Q: Does local extrenum of x(sqrt(4))- x^2 exist?

A: Given function is: f(x) = x . {sqrt (4)} - x^2 f(x) = 2x - x^2 ; [consider the positive value of…

Q: Give five examples of the use of extreme value theorem in real life.

A: Examples of the use of extreme value theorem in real life.

Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: Find the points on the graph of f(x) = 6x – 2x³ where the tangent line is horizontal. (Use symbolic…

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Q: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1]

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Q: 2. Squares of side a are cut from each corner of a 8 in x 6 in rectangle, so that its sides can be…

A: GIVEN: Rectangle = 8 x 6            square of side 'a' are cut from the corners of the rectangle.

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: What are the variety of important types of functions frequently encountered in calculus?

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Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: Find the exact location of all the relative and absolute extrema of the function: f(x) = 5x^3 − 60x…

A: Given function f(x) Differentiate the function and make it equal to zero for critical points

Q: Help Solve in Product Rule find f’(x) and f’(c) ; g(x)= x^2 - 4 / x + 3 , c=0

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Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line…

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Q: The principle of Analytic continuation:

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Q: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

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Q: By using intermediate value theorem locate a root for the f(x) = 2x3 - 3x2 - 6.

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Q: 2x

A: Given query is to find the derivative of the expression.

Q: Find thu constant a such that the function 15 Continuous on thi entire real line. Usinx gex)= a-7x…

A: Here we use the concept of limit

Q: Please explain how to solve. Thank you

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Q: By using intermediate value theorem locate a root for the f(x) = 2x³ – 4x² -7. 1

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Q: 4 土 + 5x-メ te

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Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: By using intermediate value theorem locate a root for the f(x) = 2x3 – 3x2 – 6. %3D

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Q: Can a quadratic function have a range of (- ∞,   ∞)? Justify the answer

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Q: - 9α+4 f (æ) 5x2-8

A: To differentiatef(x)=-9x+45x2-8

Q: 3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: (1 point) Let f(x) = x³ + 4x2 %3D

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Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

A: Given that the function  is    f(x) = -3x3 - 2x2 - x + 3  Here we have to find the tangent line at…

Q: Please

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Q: 2. Use the First Derivative Test with a number line to find the local extremes of the function Ax) =…

A: Solved below

Q: You have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: Rectangular field: You have 800 feet of fencing to enclose a rectangular field. One side of the…