If ƒ (x, y) = ln (x² + y*) then find fy. 4y³ x4+y4 x4+y4 x4+y 4y x4.

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.

Q: f(x, y) = √5x² + 4y² fa(2, 1) =

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Q: Use the first derivatives to find the local exterme of f(x) =x³ -12x on R

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Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

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

A: To find the concavity of the given function.

Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Given the following mathematical program: Which of the following are true? O (x, y) = (3.0, 2.5) is…

A: Min z=2x+2y Subjected to x+2y≥32x+y≥5x,y≥0 x,y integer

Q: B)ls w = z²1² analytical function or not?

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Q: Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

A: Here we have to find relative maximum.  The solution is in both 1st and second steps.

Q: If f(x.y)= x?+2xy+5y² then дудх

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Q: Solve X(Inx - Iny)dy - ydx = 0 %3D

A: The formula for the substitution method for definite integrals is given by, where g'(x) and f(x)…

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Integrate

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Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

Q: e) k(x) = (2x-1) ³x

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Q: function of xx if

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Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A: This question is about integration as sum of limit .

Q: For f(x) = x? – 2x – 1, find f(2), f'(2), and f(3) – f(2). - a. f(2) = -1 b. f'(2) = c. f(3) – f(2)

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Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

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Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: Compute ƒxxx and ƒxxy for ƒ(x, y) = x3y.

A: Given function - f(x, y) = x3yConcept - While partially differentiating with respect to x, other…

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: If y= X 1-x +7x+9, find y' .

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Q: The productivity of a manufacturing company is given approximately by the function f(x,y) = 20x y0.5…

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