5. Let f(x, y) = sin(2.xy). Find f.(x,y) A) f,(x,y)= 2xcos(xy) B) f,(x,y) = 2y cos(xy) C) f.(x,y)= 2 cos(xy) D) f,(x,y)= 2ysin(xy) E) f,(x,y)= 2xsin(xy)

Q: Solve the following differential equations of d'y dx² dy 3- -+2y=e³x; dx

A:

Q: Find the fay and fyy: f(x, y) = xe" - sin(xy) + x³y

A: fx,y=xey-sinxy+x3y

Q: Find f. f "(x) = 7 + cos(x), f(0) = -1, f(7x/2) = 0 %3D %3D f(x)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Calculate dw/du and dwldv using the following functions: = f(x, y, z) = 3x² – 2ry + 4z2 = x(u, v) =…

A: Apply chain rule

Q: If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4…

A:

Q: Consider the linear system -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix.…

A: We have y→'=-3-253y→ The coefficient matrix is A=-3-253 Part(a) First, we find the eigenvalues. Let…

Q: Let f(x, y) be a differentiable function of 2 variables and let r(t) = 3 sin(t)i + 3 cos(t)j. If…

A: Vector differential

Q: (c) y/" + 4y = 3r cos(2r)

A:

Q: Find f. f "(t) = 2et + 5 sin t, f(0) = 0, f(x) = 0 f(t) =

A: We can solve the given problem using the concept of application of integral.

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

A: