F(x, y) = (xy² – x5)i + (x²y + y®)j f(x, y) = + C

Q: Find fx, fy, fz. fx = + +2² f(x,y,z) = e¯ (4x²+2y² 12=7 Z

A: f(x,y,z)=e-(4x2+2y2+z2)we know (i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: f (x, y) = − x² - y² +3. :

A: We have to find the maxima of the function  f(x,y)=-x2-y4+3

Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

A:

Q: f(x,y) = x² + 3y² + +xy b. f(x,y) = /x² + y² a. %3D

A:

Q: Optimize z=f(x,y)=20×x×y-(x2+y2), subject to x+y=4 Do in 45 minutes to upvote

A: Optimization problem

Q: f(x y, z) = x2 - 8y5 + z -4. Find (-3, 1, 5) for O a 1 O b -4 10 O d -5

A:

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: f(x,y) = 40x+ + 72x³y+ 85XU fur eblidl w jall dissui %3D -226x2 A O -226 BO 216x2 CO

A: To find fyx = ?   Given : f(x,y) = 40x4 + 72x3y + 85x

Q: f(x, y) = √√2x² + 5y² fz(0, 1) =

A:

Q: Let f(x, y) = 6x – 7y + 3. Find the following. (a) f(4, –1) (c) f(-5,-3) (b) f(-6, 1) (d) f(0, 7)

A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

Q: Utt u(x, 0) ut (x, 0) = = = 4uxx x² + 3x

A: USIND D'ALEMBERT'S SOLUTION FOR ONE DIMENSIONAL HOMOGENOUS WAVE EQUATION ,WE HAVE

Q: Compute the discriminant D(x, y). (Express numbers in exact form. Use symbolic notation and…

A:

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: Solve Fyy + 3 Fxy + 2 Fxx = 2x, F(x, 0) = -x, 2, F(x, 0) = 0. F(x, y) =

A: General solution is given by complementary factor + particular integral.

Q: fo Find mini

A: Given :   fx, y=x+y+27xy

Q: 30. Which of the following is the value of f.(2, -1)? O -13 O 50 O 106

A: Given :              f(x, y) = 2x3 + 7x2y3 + 8y3 + 3x - 2y + 10   To find the value of fx(2,…

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: f(x, y) = V 2 2 3x² + 4y²

A:

Q: For f(x, y, z) = x² - y² + z², find f(2, -1, 4).

A:

Q: If f(x,y)=2y2ex+3ln(xy), find fxyy(1,1).

A: Given  fx,y = 2y2ex + 3lnxy                        fxx,y = ∂f∂x = 2y2 ∂∂xex + 3∂∂xlnxy…

Q: f(x, y) = 4x2 + 2y? f-( – 3, 1) = Preview

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Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

Q: -

A: Given function is: fx,y=2x3+7x2y3+8y3+3x-2y+10 We have to find fxx,y.

Q: Consider f(x, y) = xy(²-x²) x² + y² 0 if (x, y) = (0,0) if (x, y) = (0,0) . Show that fay(0,0) = 1…

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Q: Let \n (xy) + y ² = x6+3 find dy ax

A: