The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

Q: The absolute maximum of the function f(x) = 2x² + 4x + 16 over [1, 6].

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: A bus can accommodate a maximum of 60 passengers. If X denotes the number of male passengers, what…

A: If there are maximum 60 passengers that can be accommodated in the bus, then the possibilities of…

Q: Identify the absolute minimum of f(x)=2x2 +x+1 over [−2,3].

A: The given function is f(x) =2x^2+x+1 over the [-2,3].

Q: Find the maximum value of 9x + 4 – x2 on the horizontal span of 0 to 9. (Enter the maximum value of…

A: We find f'(x) using the power rule Then we find the critical points by solving f'(x)=0

Q: Find the minimum and maximum of 3+3x2-7x on the interval [0,3].

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Q: Find the absolute maximum value of g(x)=−2x^2+2x+2 over [−3,5].

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

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Q: The absolute maximum of the function f(x) = 3x2 + 3x + 14 over [1, 7].

A: We first find the critical points using the f'(x)=0 f(x)=3x2+3x+14f'(x)=6x+30=6x+36x=-3x=-36x=-0.5

Q: 4. Use the Intermediate Value Theorem to show that the equation 2x3 + x – 2 = 0 has a root in the…

A: The given equation is 2x3+x-2=0 has a root in the interval -1,1

Q: What are the absolute maximum and minimum points of x^3-3x+1

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Q: Find the absolute maximum value of g(x) -2x2 + x – 1 over [–3,5].

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find global maximum and global minimum of æ3 – 9x? – 48x + 52 on the interval [-5, 12]

A:

Q: Find the maximum and minimum values of 3x -2x³- 6x² + 6x +1 in the interval (0, 2).

A: Given that f(x)=3x4-2x3-6x2+6x+1  We have to find maximum or minimum value in (0,2)…

Q: Find the rule of the quadratic function f (x)= a(x-h)² +k whose grapn has a vertex at (-15, 18) and…

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Q: What is the maximum and minimum value of x^3 - 2^x = 0

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Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

A:

Q: The function f(x) = 2x3 + 39x? 216x + 10 has one local minimum and one local maximum. - - This…

A: we will find the local maximum and local minimum.

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: 4. Find the Minimum and Maximum value of f (x) = -3x² + 2x + 5.

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Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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

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Q: f (x) = x²-4x + 3, determine x such that f (x)> 3. what is the maximum value ?And the minimum value…

A: Given query is to find the values of x such that f(x) > 3.

Q: Identify the absolute minimum of g(x)=−2x2 −x+1 over [−2,4].

A: Absolute minimum:The absolute minimum of a function f on the interval [a, b] will occur either at…

Q: a manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Follow the procedure given below.

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given: R(x)=80x-0.5x2

Q: 7. Find the absolute maximum and the absolute minimum off(x) = 2x³ – 3x - 12x + 5 on the interval…

A:

Q: 5. Determine the zeros of 2x4 - 11x f(x) Verify your solution usir -

A: Given query is to find the factors of the function.

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A: Use the first inequality and integrate all the values from 2 to 5.

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: For maximum Revenue : take the derivative of R(x) and equate to zero.

Q: Let g(X)=x3-12x+7. The maximum value of (g) over the closed interval (-4,5) occurs at what X value?

A: we have to find the maximum value of the function g(x)=x3-12x+7 on the interval [-4,5]  For that, we…

Q: Find the domain of f(x)=2x+10/3x+4 Enter the solution in interval notation.

A: Consider the function  f(x)=2x+103x+4

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: 2 The maximum value of (-3 + 4x – x + 4)2 + (x – 5)2

A: Introduction :

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Recall the following. A quadratic function fx=ax2+bx+c can be expressed in the standard form…

Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

A:

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: Find the absolute minimum and maximum of f(x) = 2x3 - 3x2 - 36x + 2 on [0,5]

A:

Q: Find the maximum number of turning points that f(X) = - 7x6 + 5X3- 10X² + 6X + 13 may have. 6. None…

A: The turning point of a graph can be defined as it is a point where the graph changes from increasing…

Q: . Find the absolute maximum and minimum values of f(x) = 2x3 − 21x2-21X 2+ 60x + 1 on the closed…

A: We have f(x) = 2x3 - 21x2 + 60x + 1 We find its derivative w.r.t. "x", f'(x) = 6x2 - 42x +60 To find…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: What is the maximum value of the function h(x) = 10x =—= 22² x² on the interval 0≤x≤ 40 and for what…

A:

Q: 2 Find the maximum value of 7x1 + X2 + X3 + 7x4 subject to the condition that x +x, +x +x = 100.

A:

Q: What is the absolute maximum value of f(x)= x^3-3x^2+1 on [-1,6]

A:

Q: the absolute minimum of f(x) = −x3 − 14x2 − 60x − 75 on interval [−7, −5]?

A: To find: The absolute minimum of fx=-x3-14x2-60x-75 in interval -7,-5. Calculation: The derivative…

Q: f = 2x – 3x²/3 on [-1,3].

A:

Q: Find the minimum value of the expression given below on the horizontal span of 0 to 6.  2x − x2 + 2

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Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.