Given a function f(x,y,z) = (x+9) In (7y - 6) sin (9z). Find the domain of the function. o a. { (x,y,z) | x > 9, y > 0.86, z > 0 } b. { (xy,z) | x > 9, y > 6 } o c.{ (xy,z) I y > 0.86 } o d. { (xy,z) |x > -9, y > 0.86, z > 0} e. { (xy.z) |x > -9, y > 6 } o f. { (xy.z) I y > -0.86 }

Q: Q3:- Verify that the following functions u are harmonic, and in each case give a conjugate harmonic…

A:

Q: a) Consider the function f (x, y) VIn (4 – x² – y²). Find the domain - and range of f(x, y).

A: Solution is given below..

Q: 5. Let z = and f(z) = 27 ,then simplify f(2) and indicate the real V2 – yi and imaginary part.

A: The given complex number is, z=1-2-yi Rationalize the term,…

Q: Given the functions f and g where f:R> R, f(x)=-4x² +2x+1 and g:R→ R, g(x)= 2x² – 5. Find fo g. A.…

A:

Q: Answer 6b. Suppose that the coefficient functions p(t) and q(t) are continuous in the interval…

A: The given ODE is -  y'' + p(t)y' + q(t)y = 0,  0<t<π The given functions which are solutions…

Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: of of For the function f(x,y)% 9x2- 3y°-4, find and dx dy of II

A: While calculating the partial differentiation of a function with respect to X we consider the other…

Q: e. ƒ (t) = tU(t − 3) f. f(t)=sint U(t − π)

A: We have to find the Laplace transformation of the given function.

Q: Let (x, y) E R × R. Consider the following functions from R? to R? a((x, y)) = (-x, y) and b((x, y))…

A: Order of the function

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: Q1: For v=2x²y + x2y-y³, check the function for Harmonic and then find f(z).

A:

Q: (2xy + 3x²)e, + (x² – 2yz + 2y)e,- (e2 +y²)e, olan f(x,y,z)

A:

Q: Let f(x,y,z) = x2yz4 + 4xy²z+y²z - 3y³z Find fxyz

A:

Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

A:

Q: Suppose that the functions q and r are defined as follows. q (x) = -2x+2 r(x)=x² Find the following.…

A:

Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

A:

Q: Find a function of the form f(x) = a sin(bx - c) such that the graph of f matches the figure. f(x) =…

A: function f(x).

Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: of of and da For the function f(t,a) = sin (8rt + 7a), find %3D - at

A:

Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

A:

Q: Q2.a- Find the domain only for function: x2-1 y = x+2 b- show that: sec(270 + 0). csc(180 - 0).…

A:

Q: 6. Suppose that the coefficient functions p(t) and q(t) are continuous in the interval (0, t), and…

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

Q: 2. Determine whether these are well-defined functions. Explain. 3 (a) f:R → R, where f(x) = 2² + 5°…

A:

Q: Find the exterma R-{ (ny ): xy zo} 2. F(xry) = x² +y?- メッ ×り

A: To find extrema first we differentiate the given function with respect to x and y, then after…