O Find all second order derivati ves for f(x,y) = Cos(2x) - x²e5Y + + 3y2

Q: a3 2- Find the third derivative for = sin(÷) for f(x, y) ax3 -2sin?cos()+2 sin A:- ) sin()+3cos )…

A:

Q: of and for the functions: dx dy H.W: Find 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2) 2. f(x, y)…

A:

Q: (b) Verify that the following function is harmonic u(x, y) = −e sin x - 2e-siny. Find a harmonic…

A: Here we have to verify that the function is harmonic and then find the harmonic conjugate.

Q: 14. ry = coS

A: Given:      xy=cos-1xy+1        y=cos-1xy+1x differentiating on both sides     dydx=ddxcos-1xy+1x…

Q: The y - cos X 3 2 =2y %3D

A:

Q: * Find (fzyx) for the function (f = sin(xy)* .cos(yz)* cot(xz) ) B) zycos(yz)-sin(yz) O A)…

A: Given: f=sinxycosyzcotxz To find: fzyx

Q: Function P(X,y) a In (X*nyt),+tan"() Check the dif ferential equation.

A:

Q: fyx if f(x, y) = sin(xy) + x² In y cos(xy)- xysin(xy) - cos(xy) + xysin(xy) + cos(xy) – xysin(xy) +…

A:

Q: 3. Check that in each of the following cases, the equation F = 0 defines y locally as a C' function…

A:

Q: kh= •a+h [ath 2xƒ(1) √ √ 1 + (ƒ' (1))² dt 2лf(t).

A:

Q: 1. Find the derivative of the following: 1² + 2r + 1 a) f(1) = r3 - 5x + 3 b) G(2) - VP+1 dt e) y…

A:

Q: (x) is continuous function find A for the following: xy - x² = y² = x B- Find at the following: C-…

A: As per the guidelines I need to answer only one question at a time. Here all the questions are…

Q: 2. Find S'and S" for the function: S = + 2t2. Cos(t)

A:

Q: Express the following function in the form f(z)=u(x,y)+iv(x,y) 1. cos(z^2)

A:

Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: B) Find- for following functions: дz მა 1) z = exy tan y, x = s + 2t, y = s/t. 2) z = x² + xy + y²,…

A: The objective of the question is evaluate the partial derivative of the given functions.

Q: Determine fzz, fyy, and fz for f(x,y,z) = x²y³z – y sin(xz) + e».

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Let f(2)= iz³ + cos(z²) z² +1 i. Find f'(z). ii. Evaluate ƒ'(–2i) and simplify. iii. State the…

A:

Q: Find df and dxo f , and write (dxo f )(X – Xo). (a) f(x, y) = x³ + 4xy² + 2xy sin x, Xo = (0, –2)…

A:

Q: For cos2(xy) =, evaluate y' when x = 4

A: Given that: cos2(xy)=14

Q: of of +y y Let f(x, y) = x$y² tan Then x equals X

A:

Q: Determine a function f such that F= and calculate [Fdy, Where F(x, y, z) = sin yi+(x cos y+cos z)…

A: What is Line Integral: A line integral in mathematics is an integral in which the function to be…

Q: alu,v at dx,yl Q2// B :- If u+v=e"cos y and u- v=e" sin y find the Jacobain of the function (х,у)…

A:

Q: Locate and classify the local extremum of f when f(x, y) 4.x2 – 6x – 6y² – 4y + 10xy. - - 1 1.…

A:

Q: Find extrenhum of one of the following function 1. 2(a, y) = sin2(x- 0.5) + artg (y- 0.5) rE (-1,1],…

A: Let us find the Extremum of the given function in the next steps.

Q: Use the gradient to find the directional derivative of the function at P in the direction of Q f(x,…

A:

Q: Find the continuous lest squares approximation of degree 2 for f(x) = cos(xx) on [0,1]. %3D

A: Let P2(x)=a0+a1x+a2x2 is the continuous least square approximation of degree 2 for the function…

Q: 12. Find frxyz for f (x, y, z) = sin (3x + yz)

A:

Q: Find The artlal Auatives (first and Seond

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1/2 105. Show that f (sin 0) de = f (u)- 1-и2 du.

A:

Q: Find whether the function F= 5yz? i+(3x– 2)}+(x² – xyJk is solenoidal.

A: