Given a function f(x,y,z) = (x+9) In (3y - 5) sin (4z). Find the domain of the function. o a. { (xy,z) I y > 1.67 } o b. { (xy,z) l y > -1.67 } o c.{ (x,y,z) | x > -9, y > 5 } o d. { (x,y,z) | x > 9, y > 1.67, z > 0} o e. { (x,y,z) | x > -9, y > 1.67, z > 0 } o f. { (xy,z) | x > 9, y > 5 }

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: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

A:

Q: Find the domain and range of the function g(x, y) = x√y

A: Given , gx,y=xyNow , x∈R , y>0 i.e y∈R+∴ Domain .    x,y/x∈R , y∈R+…

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

A:

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: Find the interval where the function, -x2 f(x) = - x + 2 is increasing? | a. (-o, –1) O b. (-2, -1)…

A:

Q: The x and y coordinates of the inflection point(s) of the function f(x) = x + 21x* is (are): A. No…

A: Solution :-   Given fx = x3+21x2We have to find inflection point for this, we put f''x = 0

Q: Determine and sketch the contour plot for the function f (x, y) at three level curves.

A: Given:                    fx,y=4+2x-4y-x2-y2 To do: Sketch the contour plot for the function fx,y at…

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

A:

Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

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: Find one of the two residues of the function (2z + 3)/(z-2) on its poles. O a. -0.25 O b. 0.25 O c.…

A:

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

A:

Q: Which of the following is not a function of x? Vx-4 a b x* +y = 4 C xy = 1 x² +y? = 1 d. %3D y = |x|…

A: Solution Y is a function of X if we can find it uniquely by x.

Q: dy as a function of x. Write the following function in the form y = f(u) and u = g(x). Then find xp…

A:

Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

A:

Q: əz If z = f (x, y), find and for the following equation z=-2xy

A:

Q: 1. (1+ V)²dx 2 2. (교2-z) dr (r-1 +x)2 3. xp-

A: solve the following

Q: Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B)

A:

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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

A: