f(x) = xV x² + 36 defined on the interval [-6, 4]. a.) f(x) is concave down on the open interval b.) f(x) is concave up on the open interval c.) The minimum for this function occurs at d.) The maximum for this function occurs at

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

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Q: Find a cubic function f(x)  = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a…

A: At x=-2 , y=3  So,  at x=1, y=0

Q: The absolute minimum of f(r) = 20z² – I+1 is

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Q: The function f(x) = xvx – x² defined on the closed domain [0, 0.9] has an absolute minimum value of…

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Q: 4) Let f(x) = x* – 2x -1 be defined on the interval [-1,3]. Find the maximums and the minimums.

A: The given function is defined  f(x) = x4 - 2x2 - 1 Over [-1,3] To find minimum and maximum value of…

Q: Find the absolute maximum value of f(x) = x² - 2x +9 over the interval [0, 5] |

A: Given problem:- Find the absolute maximum value of f(x) = x2 - 2x + 9 over the interval [0,5]

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: Find the absolute minimum value of the function f(x)=2ex^2-2x+1 on the domain [-1,2].

A: Given function is : fx=2 ex2-2x+1 To find the absolute minimum value of the function in the domain…

Q: 2. On the interval [0,2], determine the absolute maximum, M, and absolute minimum, m. fx) 4x

A: Given fx=4x1+x2 on 0,2

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: Given Data The function is y=1-eˣ/ eˣ+1.   Differentiate the function y=1-eˣ/ eˣ+1 with respect to x…

Q: What is the absolute minimum of p(x)=2x2 −x−2 over [−2,6]?

A: Obtain the derivative of the function as follows.

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y)…

A:

Q: For the function f(x)= 6x-20arctan (x/3) find the absolute maximum and the abusolute minimum on the…

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Q: Consider the function f(z) = 2x+ 18z2-330z +37 defined on the interval -1, 10). Then the absolute…

A:

Q: Let A be a positive real number. If the absolute minimum value of f(x) = Ax³ – 40x³ on 0, 00) occurs…

A: fx=Ax5-40x3 Differentiating with respect to x, we get f'x=A·5x4-40·3x2=5Ax4-120x2 Now to find…

Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

A:

Q: Show that the function f : [0, 1] →[0, 1] given by f(x) = (x −1)2 has a fixed point. Can you apply…

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

Q: Use the golden section method to determine with an accuracy of 0.25 the minimum of the function f(x)…

A: Let us use the golden section method to determine with an accuracy of 0.25 the minimum of the…

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

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

A:

Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

A:

Q: 3. What is the maximum value of the function f(x) = 2x- 2x + 6 in the interval %3D [0, 2]?

A: Introduction :

Q: What is the absolute minimum value of g(x)=−2x^2−2x−1 over [−3,4]?

A:

Q: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

Q: Consider the function f(x) = 2x3 - 3x2-12x+c, where c is some ne location of the absolute maximum…

A:

Q: A be a positive real number. If the absolute minimum value of f(x)= Ax³ – 45x³ on [0, ∞) occurs at x…

A: Applying critical point and absolute value test

Q: Find the absolute maximum and minimum assuming the function is f(x) = 2x^4 - 8x + 3 on interval…

A: f(x)=2x4-8x+3

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

A:

Q: (7) Does the extreme value theorem tell us that f (x) = ! has an absolute maximum and absolt minimum…

A:

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

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

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: If f has a local minimum at x = 0 and a local maximum at x = 2, what can you say about f'(0) and…

A:

Q: If f (x) = 3 sin x + 7 and g(x) = 2x – 7, what is the maximum value of f(g(x))?

A: Here given that                          f(x)=3sinx+7             and      g(x)=2x-7 We have to find…

Q: Let f(x) = 4x – 8a2 + 5x. Find the absolute maximum and the absolute minimum of f on [0, 2].

A: To find  The absolute maximum and absolute minimum of f(x) at [0, 2]

Q: The absolute minimum of f(x) =x² – 4x On [0,3] is y= %3D 540 .BO -4 .CO -3

A: We use first derivative test to find absolute minimum.

Q: find all critical points of f(x) = x²e², and use the second derivative test to determine if each…

A:

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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Q: Determine a minimum of f(x) = x² + 3x², Starting from x, = (6,3) = 6i + 3j and applying the method…

A: The given function is fx=x12+3x22 . The initial point is x0=6, 3. Let it be X0=6, 3. The gradient of…

Q: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the

A: From the given function; fx=x33+x2-48x First, we have to find the critical points; As we know that,…

Q: Find the minimum and maximum of 1 on the interval [0, 3].

A:

Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

A:

Q: 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the…

A:

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

A:

Q: -- ) Determine the values of constanas a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local…

A: As given (0, 0) is a point of local maximum and (1,−1) is a point of local minimum of f(x). The…

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: What are the absolute maximums and minimums of z(x) over its domain?

A: Given To find what are the absolute maximums and minimums of z(x) over its domain.

Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…