Find the absolute maximum and absolute minimum of the function f(z) = z² – 6z + 5 over (1,

Q: Find the maximum and minimum values of the functions f(x, y) = 4x + 4y -x² - y subject to the…

A: In this problem we need to use of Lagrange's multiplier method. We use gradient also.

Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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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: Find the quadratic function f(x) = ax + bx +c that goes through (2,0) and has a local minimum at (0,…

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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: Find all points (x.y) where f(x.y) may have a maximum or minimum. f(x,y) = - 3x + 5xy- 2y² +x+y

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Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

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Q: Find the maximum value and the minimum value of the function f(x, y, z) = x + y + z such that x2 +…

A: Given To find the maximum value and the minimum value of the function f(x, y, z) = x + y + z such…

Q: Find the global maximum and global minimum of f(x)=x22x in the interval [−1,3].

A: We first find the critical points by solving f'(x)=0

Q: Find the maximum and minimum values of the function f(x, y) g(x, y) = x² + xy + y² = 27 ry subject…

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Q: For the function y=x, is x-0 both an inflection point and a local maximum /minimum

A: We need to find first and second derivative for this Question to know about local maximum/minimum…

Q: Find constants a and b in the function f(x) = axeb" such that f(-) = 1 and the function has a local…

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Q: Check for local maximum and minimum points of the function: f(x, y) = x3 + 3x2y - 3xy - 3x.

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Q: Find all points (x, y) on the graph of g(x) = 1/3 x3 - 3/2 x2 + 1 withtangent lines parallel to the…

A: Given: The function gx=x33-3x22+1, To find: All the points x,y on the graph of given function at…

Q: Find the absolute maximum and absolute minimum of the function f ( x ) = x 2 e -x on the closed…

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Q: 6. Find a cubic function f(r) = ar³ + bx² + cx +d that has a local maximum value of 3 at r =-2 and a…

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Q: Let f (x)=x* + 2.x³ – 3.x² – 4.x + 4. Find: (b).. the points at which f (x) has a relative maximum…

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Q: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and…

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Q: Find the Maximum and Minimum values of f(x, y,z) x +3y subject to the constrains x'+4y +z-36.

A: According to question,Given function,fx, y, z = x2 + 3y2,           ....1subject to the…

Q: Find the local minimum value of f(x, y) = 4+ xl+yl1 11æy. -

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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: Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at…

A: Given: The quadratic function fx=ax2+bx+cpasses through the point 0,1 and has local minimum at 1,-1,…

Q: f(x) = 3 x4-4 x3 -12 x2+1, has local minimum at x = OA. OB 2- OC. OD.

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Q: Calculate the maximum and minimum of the function f (x,y) = xy subject to the condition x2 + y2 = 1

A: To find the optimal solution, we will use Lagrange multiplier method. The Lagrangian function is…

Q: Find the global maximum and global minimum of f(x)=2x in the interval [−1,3].

A: Given function is Differentiating with respect to x, we get Now, f'(x) =0 for no value of x and…

Q: Find the maximum and minimum values of the function f(x, y) = e²Y subject to + y° = 16

A: Given data: The expression for the first function is f(x, y)=exy. The expression for the second…

Q: Find the local minimum value of f(x, y) = 4 + x11 + yll – 11xy.

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax + bx + cx +d has a local maximum…

A: We have to determine the value of a, b, c and d

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: Find a cubic function f(x) = ax + bx2 + cx + d that has a local maximum value of 4 at x = -3 and a…

A: Here we have to find the cubic function that has a local maximum value of 4 at x= -3 and a local…

Q: Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the…

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Q: find the formula for a function of the form f(t)=at+b/t with a local minimum at (3,3) and a local…

A: For critical values of f(t), f'(t)=0Critical values of f(t) are t=-3 and t=3So we find f'(t) from…

Q: Find a multivariable function f(x, t) that satisfies the Black-Scholes equation: ft = f - xfx -…

A: f(x,t)=etlog(x) satisfies Black-Scholes equation: ft = f - xfx - x2fxx

Q: f(x) = 3 x*-4 x-12 x2+1, has local maximum at x=

A: Given :            f(x) = 3x4 − 4x3 − 12x2 + 1

Q: Find the absolute maximum and absolute minimum values of the function f(z) = x* – 2x² + 1 on [0, 3].

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Q: Find constants a and b in the function f(x): ar In(x) such that f() = 1 and the function function…

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Q: Find the absolute maximum and absolute minimum  of f(x)=e−2xf(x)=e−2x  over the interval…

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Q: Find the local minimum value of f(x, y) = 4 + x'l + yll - 11xy.

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Q: Find out all the relative minimum and maximum values, and sadle points of the function h defined by…

A: Here we have h(x,y)=x3-3x+3xy2 .............................................. (1)

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: Find the absolute maximum and minimum values of f(x, y)= 3+xy-x-2y on the closed triangular region…

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Q: If f'(x)=x^3-2x^2-x+2, then f has a relative minimum at x=

A: If f'(x)=x3-2x2-x+2, then f has relative minimum at x

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular…

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),…

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed…

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Q: Find the global maximum and global minimum of the function f(x)=x2−16x on the interval [−4,−1].

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Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: Find the local minimum value of f(, y) = 4+ x1 + yl – 11xy.

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Q: 1) Find the absolute maximum and minimum for function f(x,y)=x²-xy+y²-6y-4, on the domain -4≤x≤2,…

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Q: Find the maximum value of J (x) f(x) = V1 + x² on the indicated interval. [0,2]

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