For a given function f(x) = (x +4)² – 67 i) The vertex (h, k) is: (| ii) The Axis of symmetry : a =| ii) The Minimum value=

Q: 8. What is the minimum value of the function defined by y = cosx + 4? В. З A. 2 C. 4 D. 5

A: Given- y=cosx+4 To find- The minimum value of the expression.

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

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Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

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

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Q: suppose f(x)’=x^4+x^3-6x^2. Determine the value of x where f has a relative minimum value.

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Q: Find the local maximum and local minimum in (x,y) notation for the following: y=(2x2-7x)/(2x+5)

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Q: Find the absolute maximum and the absolute minimum of f(x,y,z) =x+y+? subject to the constraints g…

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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: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2,…

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Find the minimum value of x²+y² + z²,

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Q: Consider two nonnegative numbers x and y such that x + y = 9. Find the x- and y-values that maximize…

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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: 1 Use the maximum-minimum principle 1 to Find absolute maximum and minimum Of the function: F(x)= x3…

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Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

Q: If f'(x) = x - 2x² - x +2, thenf has a relative minimum at x= 1 -1 2 -2

A: The answer is

Q: Find the location of the minimum absolute extremum for A. No minimum the function. В. х%3D — 1 Af(x)…

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Q: Q#6 What is the local minimum value of the function f(x) = x'(x + 4) %3D

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

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x3 – 3x – - y³ + 12y + 4,…

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Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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

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Q: Suppose that f(æ, y) = x² – xy+ y² – 5æ + 5y with æ² + y² < 5?. 1. Absolute minimum of f(x, y) is 2.…

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Q: Q3. Find the minimum of the function f(r, y) = r - y subject to the constraint r+ y? <1 Check the…

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Q: Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at…

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

A:

Q: Q4:- Find the minimum value of the function f(x, y) = x + y, subject to the constraints xy = 16 , x…

A: Please see the explanation below

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: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

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 minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

A:

Q: Given the function f (x) value of f on the closed interval [-2,4]. -x° + 3x2 – 9, determine the…

A: We have to find absolute minimum valu

Q: Use the first- and second-order optimality conditions to find all local minimums of f : x € R² → ¤1…

A: The given problem can be expressed asMinimize f : x1+3x2Subjected to h : x12-5x22+5 Firstly, we will…

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: Use calculus to find the x-locations of the local maximum and local minimum values of S(x) = (½)x°…

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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].

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Q: Find the minimum absolute extremum as well as all values of x where it occurs on the specified…

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Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of…

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve .…

Q: t is the absolute minimum value of h(x) = -2x² %3D

A: Solution of the problem as follows

Q: Use the graph to state the absolute and local maximumand minimum values of the function.

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Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: What is the local minimum value of the function f(x) = x^3(x + 4)

A: We have the given function as fx=x3x+4 For local maxima/minima, we need to calculate critical point…

Q: Let fx) = x + 2x-8. For what value(s) of x does fx) have a local minimum?

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Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

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