Let f(x, y) Va? + y? Which of the following regions are in the domain of f? D В IA B OC OD

Q: Jennifer is proving the Pythagorean theorem. According to the proof writing guidelines, Jennifer…

A: Given,    We need to state whether the statement is true or false.

Q: Find the distance between two points , A(-4,-1) and B(1,2) * O v51 O v31 O v5 V34

A:

Q: Find the area of the shaded regions. 16 Ay 12 8 -4 -1 (0,0) |_y=x³-4x (3,15) A o 33 O.A. 4 41 OB. 4…

A:

Q: JN IS THe MEDIAN TO UE UN = 4x-3 NE = X + 12 FIND UN NE UE -

A: We have given a triangle JUE .JN is the median to UE. UN=4X-3. NE=X+12. We have to find :  a) X.…

Q: Suppose y E span{X₁, X₂}. Explain why span{x₁, x2, y} = span{X₁, X₂}.

A:

Q: Let u = (-8, 1, 2) and Vf(a) = (-9, -5, -3). What is the value of Du[f] (a)? Du [f] (a) = 数字

A: Given: u=-8, 1, 2, ∇fa=-9, -5, -3To find: Dufa

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: