2. Find and sketch the domain of the function: f(x, y) = In(9x² + 25y² – 225)

Q: Find the mioimum and maximum values of the function subject to the gicen fCx.y)=6x?+Sy? 3X+10y=3

A:

Q: 5. Show that the function h(x, y) defined by if r2 + y? 1 is discontinuous.

A:

Q: Find the funchion f Such that F(x) xf (x)-x and fo) 2

A: Convert the given problem to a simple differential equation and solve the same.

Q: Consider the function y = 5cos(x). What are the exact values of C in the interval [0, 2pi] such that…

A:

Q: Find an analytic function whose real part is u(x, y) = x³y - y³x 7²+1

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

Q: : Apply Rolle's theorem for the function f(z) = 7x² – 28z+ 21 over the interval [1,3]. er.

A: The given function is, f(x)=7x2-28x+21 over the interval [1,3]. Observe that, the given function…

Q: 1. Find and sketch the domain of the function f(x, y)= In ツー1 Vアーx

A: As per our company guidelines we are supposed to answer only one question at a time. Kindly repost…

Q: Find c such that the function f(エ) 8x- 20 I > C is continuous everywhere.

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: 1. Determine and sketch the domain of the function f(r,y) = e2/Vy¬I, What is the range of f?

A: So, given function is    f(x, y) = e-x/y-1     here,  y should strictly be above 1    and then it…

Q: Q=- Find the Zero and its oider for the function fiz) = 1- Ki+Z+ ¢ ?

A:

Q: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1)

A:

Q: 1. Find and sketch the domain of f(x, y) = (x – 3y)t.

A: For the solution of the problem follow the next step.

Q: on f(x, y) = 3x + 9y subject to th %3D

A:

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: Find the constant a such that the function is continuous on the entire real line. S 8x², f(x) ax -…

A:

Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

A:

Q: Differentiate the function y = In [(x* – 1)(x² + 1)²] to the simplest form. - The number of online…

A:

Q: Find the extremum points of the function f(x,y) = y² +x*y +x² - 2y and determine the nature of the…

A:

Q: What is T3 centered at a = 3 for a function f such that f (3) = 9, f' (3) = 8, f'' (3) = 4, and f'''…

A:

Q: find the domain of the following function and show it in the xy plane. 1. f(x, y) = In(9 – x² – y?)…

A: Let's find.

Q: For the function f(x,y,z) = 3 + xy5 - 5z4, find fx , fy , and fz.

A:

Q: Find and sketch the domain of the function In(x + y) f(x, y) 1– y?

A: From the given information. The function in x and y is as follows. fx,y=lnx+y1-y2

Q: Find and sketch the domain of the function f(x,y)= exy/ x-y2

A: See the attachment

Q: 1. Why is f not a function from R to R if a) f(x) = 1/x? b) f(x) = VT? c) f(x) = ±/(x² + 1)?

A:

Q: 1. Decide if there is an analytic function f (x + iy) whose real part satisfies Re(f) = xe".|

A: Given problem: To decide analytic function fx+iy whose real part satisfies Ref=xey.

Q: Specify the domain of f and sketch its gr f(x, y) = Vx2 + y² – 16

A: Given,        f(x, y)=x2+y2-16

Q: Find the global extrema of the function f(x)=x4−2x2−1 on [0,+∞).

A: Given function is Differentiating both sides with respect to x, we get Now, we will find critical…

Q: Find the zerO and its ovder for the function f (z) = 1 - xi+ z + e%

A: Suppose that f:D→ℂ is analytic on an open set D⊂ℂ. A point z0∈D is called zero of f if fz0=0. z0∈D…

Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

A: The given function is: f(x)=-4+-48-6x

Q: 4. Find all the points at which the direction of fastest increment of the function f(x, y) = x² + y²…

A: According to question,Given Function,fx, y = x2 + y2 -2x -2y

Q: Determine the type of functions from R to R with necessary figure. i) f(x) = 5x + 7 ii) f(x) = (x² +…

A: (i) fx=5x+7 This function is state line and has roots is x=-75

Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

A:

Q: Find and sketch the domain of the function f (x, y) = In(9 – x² – 9y²).

A: The given function,  f(x,y)=ln9-x2-9y2

Q: Consider the function f(x)=xe^-7x, 0≤x≤2. Find The absoulute mininum and maximum.

A: Given data: The given function is f(x)=xe-7x. The given limits of x are [a, b]=[0, 2]. The first…

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: - Find the Absolute Max and Absolute Min of the function f(x, y) = 5x2 – 3y2 on the disk r+ys 100.

A:

Q: Find the absolute maxima and minima of the function f(x, y) = x² + y² on the closed triangular plate…

A:

Q: f(x) = 2x2 + 10, g(x) = 4x + 16

A: Sketch the curve f(x) and g(x) in same phase

Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

A:

Q: Is the function f(z) = (x2 - y2) + 2xyi entire? Why or why not?

A:

Q: Q1// Find and sketch the Domain of f(x,y) In (x' y)

A:

Q: The domain of the finction f(x, y) = In(-x² - +1) is:

A: The domain of a function is the range of the values that can be input into the function. The…

Q: What is the absolute maximum value of the function f(x, y) = e¯z²-v² +1 (x² + 4y²) on the closet…

A:

Q: Show that the function f(r) = r* + + 7 has exactly one zero in the interval (-0, 0). %3D

A: Given function  fx=x3+4x2+7 Now we have to show that fx has exactly one zero in the interval -∞,0 If…

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

A:

Q: "The function f(z) = x2 + i(2y + x) is nowhere analytic" is this statement true or false

A: If the function f(z) = x2 + i(2y+x) is analytic then it must satisfy Cauchy Riemann equation. Here,…

Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

A:

Q: Suppose that a function f(x, y) satisfies fxx fyy – (fxy)² > 0 at a point (a, b). How is the sign of…

A: