If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x) (z-x)/(x-y) (y-x)/(y+z) (x-y)/(2-x)

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Determine whether the functions f1(x) := x + 1; f2(x) := sin(x); f3(x) := x - 1; f4(x) := 3 are…

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Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find y as a function of a if y(0) = 8, 3/(0) = 8, "(0) = 25, "(0) = 0. y(x) = || (4) 10y" +25y"=0, 1

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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: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Find y as a function of tif with y(0)=6, y(0) = 7. Y 400g"-729y=0

A: Given Differential Equation Given y is a function of t

Q: Determine the local extrema of the implicit function defined by the equationx2+y2−3xy+5=0.

A: The given implicit function is defined by the equation x2+y2-3xy+5=0. We have to find its local…

Q: Differentiate y= Vcos-1x 1 2/1 – x²Vcos-1x 1 2vx-x²Vcos¯1x 1 V1-x2 Vcos-1x 1 2vcos-1 x

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Q: Differentiate y = In x*V1-3x (2x-1)2 4 A. 4 | 1-3x 2x-1 4 4 1-3x 2х-1 4 C. X 1-3x 2x-1 4 D. +. 1-3x…

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Q: Find y as a function of a if y(0) = 7, y'(0) = 10, "(0) = 36, "(0) = 0. y(x) = 0 y(4) 12y" +36y" =…

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