Are the following functions quasiconcave, quasiconvex, both, or neither: f(x) = x³ - 2x f(x₁, x₂) = 6x₁9x2 f(x₁, x₂) x₂ - ln x₁ f(x, y) = (x + 1)² − (y + 2)² for x, y > - =

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

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

Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: The wind speed W in meters per second at a distanc x kilometers from the center of a hurricane is…

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Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: f(x)=(1)/(x), shifted up 2 units, 5 units up and vertically stretched 7 units

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Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

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…

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Normalize (z) = 3f2(x) +2f3(x). You can think of functions being 0 beyond the [0, L] interval, where…

A: Simple Linear Scaling:If f2(x) and f3(x) are linear functions that map the [0, L] interval to [a, b]…

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: Find the x-coordinate(s) for the point(s) of inflection f(x) =(3x-2) - 4(2x 1)

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