8. Using methods of calculus, determine the open interval(s) on which the graph of f(x) = 24 is x2+12 concave up and concave down. Determine the coordinates of any point(s) of inflection, also.

Q: 7. Use calculus to find the exact values of the x-coordinates of all points of the graph of f(x) =…

A:

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

A:

Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: Find the absolute maximum and absolute minimum of the function f(2) = x2 – 8z +7 over [1, 8].

A: Solution

Q: What are the minimum and maximum values of the equation f(x) = 5x O 47, 33 O 4, 4 0.95, 1 O 0,0.27…

A: To find  The minimum and maximum values of f(x) on the given interval.

Q: Find the absolute maximum and absolute minimum values of the function: f(x)=5x^7−7x^5−7 on the…

A: We find the critical points by solving f'(x)=0 Use power rule to find f'(x)

Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: Find the absolute Minimum of f (x)= 12.1 [+ 4x - x^2 on [ 0, 5 (äbäi 1) * 16 12 20 7

A: Given  f(x)=12+4x-x2      0,5 f'(x)=ddx(12+4x-x2)=4-2x f'(x)=0 ⇒4-2x=0⇒2x=4  ⇒x=2 Critical point…

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: How do you solve question 4?

A: We are given the function, f(x) = x4 – 2x2 + 3x. Here, we need to show that the function f(x) has a…

Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

A:

Q: Find the absolute extrema of the function f(x)= (x+2)4 (x2 -8)2  on the interval [-4,1].

A: Given,f(x)=x+22x2-82 An absolute extremum of a function in a given interval is the point at which a…

Q: Use calculus to find the absolute maximum and minimum values of f(x) = xª – 2x² +3 on the interval…

A: The given function is: f(x)=x4-2x2+3

Q: For what value of x does the function f(x) = 1/3 x3 - 4x attain the absolute minimum in the interval…

A:

Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: 1) Determine whether the function has any absolute values on [a, b].  2) Explain the results in…

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Q: Find the absolute maximum and absolute minimum of f(x) [5, 9]. * + x2 – 63x over the interval 3

A:

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: Show how to use the Calculus method from class to find the absolute maximum and minimum y-values for…

A: Note to Student : Hi. Thank you for your question. As seen, here 2 questions are given. As per our…

Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2>0

Q: Determine the absolute maximum and minimum values of f(x) = x3 – 12x – 5 on %3D the interval [-4,…

A: We need to find absolute max and min values.

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

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Q: Find the absolute extrema of the function on the closed interval.                        f(x) = x3 −…

A: Given the function f(x) = x3 − 3/2x2 We need to find the absolute extrema of the function on the…

Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

A:

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: ind the absolute maximum and absolute minimum value of f(x) = 12 + 4x – x on [0, 5)

A:

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

A:

Q: 28. Determine the absolute minimum value of f on the interval [-1/2,4]. f (x) = x³ – 3x? 16 7 -4

A:

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

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Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

A:

Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: For what value of x does the function f(x) 4x attain the absolute minimum in the interval [-3,5]? А.…

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Q: between the graph of f(x) = x²- 2x and the x axis over the indicated interval [1, 2]

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Q: Find the absolute maximum and absolute minimum values of f(x) = 2x2 −20x+550 on the interval[1,10]

A:

Q: 13. Use the Intermediate Value Theorem to show that f(x) = 2x° – 3 has a zero in the interval [1,2].…

A: Given:-f(x)=2x3-3 using the intermediate value theoremf(x) is continuous in the interval 1,…

Q: The graph of f​(z​)=16^z passes through the points (−1,x ), (0,x)and (1,x) simplify

A: The equation of the graph is given that: f(z)=16z. So, when it passes through the points (-1,x), it…

Q: What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16…

A:

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: Use the Intermediate Value Theorem to show that f(x) = 2x3 − 3 has a zero in the interval [1, 2]

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.