A contour map is shown for the function f on the square R = [0, 4] x [0, 4]. Use the Midpoint Rule with m = n = 2 to estimate the value of ∫∫R  f(x, y)dA .

Q: Where is the function y=(x−5) 3 concave down?

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Q: If f(x,y,z)=x²y³-y²z³ Then f;= -3y²z2 Jlgn

A:

Q: Find x so the distance between (x, 3) and (4, 7) is 2/5.

A: Answer

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: Generalize the contour plot of function � �, � using three level curves

A: A multivariable function f(x,y) is a rule that is used to associate a number or quantity with a…

Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

Q: Find the linear approximation of the function f(x) = VI - x at a = 0 and use it to approximate the…

A:

Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: Evaluate the function: dx (x+1)–Vx+1

A:

Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

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: Consider the point (x,y) lying on the graph of the line 8x + 7y = 3. Let L be the distance from the…

A: We use the distance formula

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

A:

Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

A:

Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

A: Given that y=√(9-x^2) To find The domain of y.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.