For the function f(x,y) = 5y + x, find f(3, – 5), f(- 1,4), f(- 3, – 4), and f(0,7).

Q: Find the x-coordinate for the point of intersection by using f (z) = 2z + 6 g(z) = -3z +1

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Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: For the function f(x)=4x2-4xy+2y2, start at (xo,yo)= (2,4) and proceed according to the vertical…

A: This question is about application of differential equation

Q: - f(x, y) = Vx5 + y5. Find f-(0, 0).

A: Given that fx,y=x5+y55.It is required to find fx0,0.

Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: 9y''+12y'+29y=0which condition y(2)=8, y'(2)=9To Find: y(t)

Q: Find the linear approximation of the function f (x, y) = 2x – y+x?y - near the point (2,0). O 2x +…

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Q: Find y as a function of t if 3y′′+31y=0 y(0)=7, y′(0)=3

A: Find y as a function of t if 3y′′+31y=0 y(0)=7, y′(0)=3

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

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Q: Determine the linear approximation of f(x) = x' at x = 1. а. у3 9х +8 O b. Not in the list О с. у--…

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Q: Find the linear approximation to the equation xy f(x, y) 2. at the point (4,6,4), and use it to…

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Q: Find & for f(r, y) = y- 4ry + 5y .3 2

A: Using partial derivative.

Q: Find fry for the function f(x, y) = x²? – xy? – 7y +3. %3D

A:

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: Find the domain of the function f(x, y) : Vx2 + 8y2 – 5.

A: follow next step

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Q2) Find Fxx, Fyy and Fyx For the function F(x,y) = (x+y) (y + 1)* .

A:

Q: Find the indicated value of the function f(x,y) = 2x + 6y - 2. f(4, – 2)

A: We the the value of f(4,-2).We Put the given points in the given function.

Q: Consider the function z = ƒ(x, y) = 9x3 - 8x2y + 4y3.;Find dz.

A: Consider the given function, z=fx,y=9x3-8x2y+4y3 The formula of the total derivative dz is,…

Q: For the function f(x,y) = 7x² + 6y², find f(x + h,y)-f(x,y) = h f(x+h,y)-f(x,y) h

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Q: For the function f(x.y,z) = 1 + xy - 5z*, find fy, fy, and f,. fx -ロ fy = =ロ

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Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: Q2: Find ôf ôf - for the function f(x, y, z) = x²y+ y° + xz² and Əx 'dy

A: We will find out the required values.

Q: Find fxx. fyy fxy, and fyx for the function f(x,y) 4e*ty %3D

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Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: Determine the linear approximation of f(x) = x° at x = 1. a. y= 8x +7 b. y=- 8 x - 7 C. Not in the…

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Q: Find fxx, fyy, fyx, and fxy for the functions: f(x, y) = x2 tan-12

A: This question is based on Partial differentiation.

Q: For the linear function f(x) = mx + b, f(-5) = 18, and f(4) = 0. Find m and b. I found that m = -2…

A: m=-2 is right. So the equation becomes f(x) = -2x+b

Q: For the function y df-1 f(x) = a? – x + 2, x > 0.5, find dy y=10 (f-1)'(10).

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Q: Find fyx, y) for the function flx,y)=x*-7x3y2+6xy³ + 4y4 O-28y O -15y2 O 76x2 O 24x

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Q: Find f2, fy, and f.- f(x, Y, z) = (4x² + 6y² + 3z²)¯05 fz = fy = f. =

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Q: function f(x, y) = 2x^3 + 6xy^2 −3y^3 −150x has four stationary points, find

A: Please refer to the image below

Q: whe F(x, y) = 9yi+ 9x2. y2 conservative

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Q: Consider the function f(x,y) = x² + xy – 5x – y+ 1. Then:

A: Consider the given function as fx,y=x2+xy-5x-y+1

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

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Q: For the function f(x.y.z) = 1+ xy° - 4z*, find f f, and f.

A: We can find the partial derivative in the following steps.

Q: df For the function y = f(x) = x² – 3x – 3, x > 1.5, find dy y=12 (f-1)'(12) =

A: Given  y=fx=x2-3x-3; x≥1.5

Q: For the function f(x,y.z) = 3 + 4xy - 5z*, find f,, f, and f,.

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Q: Compute f, fy, f fy, and fr of the function. f(x, y)=(2x-3y)* |

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Q: Find the linearization L (x, y) of the function f (x, y) = V101 – 4x2 – 9y? at (-2,-3). L (x, y) =…

A: In the question it is asked to linearize the function f(x, y)= 101-4x2-9y2 at (-2.-3).

Q: Given f(x,y) = sqrt(x^2+4y^2) at point (3,2) find the linearization and use it to approximate…

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Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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Q: For the function f(x,y,z) = 1 + xy“ - 2z*, find fy, fy, and f,. fx f2

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Q: Given the function(x) = x3+ 1, find the ∆y, dy, ∆y-dy

A: f(x)=x3+1

Q: Find y as a function of t if 7y" + 32y = 0, y(0) = 2, y'(0) = 4.

A:

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: For the function f(x,y) = x e SX, find f,, fy, f,(2, – 5), and f,( – 1, – 1).

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Q: For the function f(a, y) = wy - 2, we have f(2, -1) = -6. Use a linear approximation to estimate…

A: Solution of given problem is given as:

Q: Q2) Find Fx, Fyy and Fyx For the function F(x.y) = (x+y) + (y +1)* .

A: Note :- Due to our guidelines, we can solve only one question, plz upload rest question again by…

Q: The domain of f(x, y) = Vx + y² is Select one: a. y² 2 -x O b. [0,0) C. y 2 x

A: To find the domain