Consider the following optimization problem. Minimize F = x2 + y² with x + 2y = 15. Write F as a function of y only. F(Y) Find F'(y). F'(Y) = %3D Minimize F subject to the constraint. F =

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A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

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Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

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Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…