Find the maximum value of f(x,y) = 25 - x - y on the line x+ 4y = 17. %3D

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Q: Find the maximum value of s = xy + yz + xz where x + y + z = 6.

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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 local minimum value of f(x,y) 4x2 + 3y2+ 2x + 2y + 4. Give your answer correct to two…

A: The given function is f(x,y)=4x2+3y2+2x+2y+4

Q: find a cubic function f(x)=ax3+bx2+cx+d whose graph has a relative minimum at (0,1) and a relative…

A: Let the given cubic function

Q: Find the local minimum value of f(x, y) = 4 + a" + yl – 11ry.

A: Use double derivatives test to find local maximum or minima.

Q: Find the local minimum value of f(x, y) = 4 + x° + y° – 9xy. ::

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Q: Where does the relative maximum occur?

A: We have given a graph;

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Q: write a cubic function y=ax^3+bx^2+cx+d that has a local maximum at (4,0) and passes through (1,-1)

A: Consider the cubic function: y=ax3+bx2+cx+d…

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Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: Find the relative maximum and minimum values. f(x,y) = 3x² – 4y?

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

Q: linearize the nonlinear equation in the region defined by 4 < x < 5, 3 < y < 4 z = y?Vx + 5e(3x-y²)

A: Given, z=y2x+5e3x-y2 The goal is to linearize the given equation around the operating point,…

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

A: Explanation of the answer is as follows

Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: Find the maximum rate of change of the function f(x,y) =4x^2-2y^3 at the point (1,1)

A: Given data: The given function is f(x,y)=4x2-2y3. The given point is (a, b)=(1, 1). The expression…

Q: does not exist, enter DNE.) f(x, y) = x2 + y2 + 2x - 14y + 9 relative minimum (х, у, 2) - relative…

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Find the absolute minimum and absolute maximum of f(x,y)=19−9x+13y on the closed triangular region…

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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 the maximum and minimum values of f(x, y) = (x- y) e- + y)

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Q: A measure of the adhesiveness of honey can be modeled as f(x, y) = -125.48 + 4.26x + 4.85y – 0.05x2…

A: Solution:

Q: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be  f(p) =…

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Q: Verify that the function y increases at a maximum rate when y = L/2 .

A: Consider the function ⇒    where   Differentiating with respect to ‘x’

Q: Differentiate the function y = 6 + x using the Chain Rule. dy %3D

A: Given, the function is                              We have to differentiate this function using…

Q: Find the absolute maximum and minimum values of the function on the triangular region whose vertices…

A: The given function f(x, y) is a polynomial and therefore, it is continuous and has both maximum and…

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: Find the minimum value ofx +y +z² given x+y+z=3a.

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Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = x4 - 4xy +…

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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 the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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Q: f(x) = xV2 - x intercept (x, y) = ( (x, y) = (: (x, y) = ( 1 relative minimum relative maximum (x,…

A: The function is given fx=x2-x To find the intercept of the function,  For x-intercept, puty=0,…

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Ax, y) 5xy, x?+y - 5 maximum value minimum value

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Q: Find the local minimum value of f(z, y) = 4 + z + y - 15zy.

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Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: Find the relative maximum and minimum values. f(x,y) = x² +y2 +4x- 12y

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

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Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

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Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤…

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial…

Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

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Q: Does the function f(r,y) = e-(z²+y°) achieve an absolute minimum on D= R²? %3D

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Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

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Q: Find the relative maximum and minimum values. f(x.y) = e +2y .2

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