For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

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Q: two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

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Q: Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A: Given,  Two cities A and B are 8 km and 12 km respectively , north of a river which runs due…

Q: Minimize ?=?+3?+10 subject to:  2?+4?≥8  4?+3?≥12  ?,?≥0 Corner points at…

A: The objective function is given as, Zx,y=x+3y+10 Subjected to the following constraints,…

Q: Judge the statement: The function f (x, y) = e ^ {xy} subject to the restriction x ^ 3 + y ^ 3 = 16…

A: Given function is fx,y=exy subject to,   g(x,y)=x3+y3-16=0

Q: Please

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Q: 3:- Find the maximum value of the function f(x, y) = x²y on the line x + y = 3.

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

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: On the graph of f(x) = cos x and the interval [27, 47), for what value of x does f(x) achieve a…

A: Here given function

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Q: What is the relative minimum value of the function f(x, y) = x° - 3xy + y – 2? Note: If the answer…

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

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Q: 85. Find the point on the line y = x that is closest to the point (3, 1). [Hint: Express the…

A: Given: The line y=x and the point 3,1, To find: A point on the given line that is closest to the…

Q: Find the absolute minimum value for on the interval [-1,1]

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Find the absolute maximum and minimum of f(x, y) = x + y within the domain x + y? < 16.

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

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Q: 8x 25. q(x) = x² + 1

A: by using definitaion of derivative

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

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Q: 25 At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum…

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Q: Let f(x) = S* A et dt. At what value of x, f(x) has a minimum? Select one: 4 -2 no value of x

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

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

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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: Find the absolute maximum and minimum values on the interval: g(x) = Vx(8 – x), [0,8]

A: our objective is to find the absolut maximum.

Q: At what value of x is f minimum?

A: To find: The value of x for which f is minimum. Calculation: It is observed from the graph that the…

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

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Q: Find the local minimum value of f(x, y) = 4+ x³ + y³ – 5xy.

A: Explanation of the answer is as follows

Q: Please

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

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Q: Find the exact value for the absolute minimum of the function y=x*

A: The given function is y=xx

Q: . Determine the values of constants a and b so that f(x) = ax² + bx has an absolute maximum at the…

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Q: Find the local minimum value of f(x, y) = 4 + x15 + y!5 – 15xy.

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Q: Find constants a and b so that the minimum for the parabola f (x) = x² + ax + b is at the point (4,…

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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 all points (x,y) where f(x.y) has a possible relative maximum or minimum. f(x.y) = x* - 32xy +…

A: Solution:Given thatfx,y=x4 -32xy+8y2-10we have to find all points x,y where fx,y has a possible…

Q: Suppose f'(x) =x++x³- 6x². Determine the value of x where f has a relative minimum value. x= - 3 O…

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Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

A: To express in the form y=3(x-p)²+q

Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 - 7ry.

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Q: 10- Find a minimum (maximum) relative value if f, subject to the indicated link. Suppose the minimum…

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Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −4 and a…

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Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: Suppose that f(x, y) = 5x + 2y at which – 4 < x < 4, – 4 < y < 4. %3! Absolute minimum of f(x, y) is…

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Q: Find the point on the line y = x that is closest to the point  (3, 1).[Hint: Express the distance d…

A: Assume d be the distance from point y=x to the line y=x Assume (x,y) be a point on a line ⇒(x,y)…

Q: (b) Estimate the value of x at whichf has a relative maximum. If there is no relative maximum, enter…

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

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Q: True or False: The linear function y=mx+b, where m≠0 has no maximum value on any open interval.…

A: The linear function y=mx+b, where m≠0 has no maximum value on any open interval.

Q: 36c A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work,…

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