Question 4 Consider functions lano (iog 02) a ald h(u, v) = (h1(u, v), h2(u, v)) : R² → R².ag d) () f(x, y) : R2 →R and %3D Below is a table of different values of various objects related to these functions. f(2,-3) = 5 of(2,-3 (2,-3) =0 af -(2,-3) =0 (2, 2,-3) =1 a (2, –3) = 4 azây -(2,-3) = -1 af -(1, –1) =3 (1,-1) =-1 Ou (1,-1) = -3 -(1,–1) = 2 azdy f(1, –1) = 3 Əz (1, –1) =0 ahi (2,-3) = 3 dv ) (d) (2,-3) = 1 h1 (2, –3) = 1 (2,-3) =1 ôu? (2, -3) = 1 dn2 (2, -3) = 9 ahi h2 (2,-3) = 14 ahi (2,-3) =2 (2,-3) =7 dv (2,-3) = 1 -(2,-3) = 1 %3D h2(2,-3) = -1 a) Compute the second order Taylor approximation T2(h1, h2) of the function f at (1,–1). :( noit (e) (e bojure) U B)Identify a critical point of f and determine if it is a local max, local min or a saddle point. dt lo inolharg ods lo suil wo a (12, -(aco) 0 diq d l (aioq &) (b) ont saneL art TeT+ C) Use the chain rule to compute D(f o h)(2, –3).

Q: The figure 2 y 1 2 10 of the function f(x) = ||

A: We will find out the required function.

Q: Question #6 - Find f(x, y) for the function below. f(x, y)=3x²+2y² + 3xy³ a) f(x,y)=4y+9xy² c) f(x,…

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Q: The one-to-one functions g and h are defined as follows. g={(-6, 1), (-3, -6), (1, -4), (4, 8)}…

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Q: 10. The graph of the function f is drawn below. (-4, 2)9 2 y = f(x) -3 -1 (y = 0) (-2, –2) (a)…

A: Graph of the function y=f(x) is given, we have to sketch the graph of y=-f(x-1)

Q: 2. If f= {(-7, 1), (-5, 8), (3, 11), (5, –1)} and g = {(-6, 4), (-5, 3), (–1, 7), (5, 5)}, what is y…

A: See the attachment.

Q: d) How are the y-coordinates on the graph of h(x) related to those on the graphs of f(x) and g(x) ?…

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Q: 5. For the graph of the function f(x), find (4pts) (4, 3) (3,0), a) f(2) (-2,1) -6 6 x b) all…

A: Using given graph we can evaluate all questions,

Q: 5. Consider the tables of values for the two functions shown. X -2 −1 0 1 2 y = f(x) 9 4 1 0 1 X -2…

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Q: #5 Given functions Fees=V Zx-1,g)= 3x ²+I find qof 9(x)=D3x²+1 qof and its domain

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Q: Answer following the questions given r(z) = In z and the values of functic in Table 0.1 and Figure…

A: Here we have, r(x)=ln(x) ............................... (1) p(x) is,  and, q(x)

Q: Z is the set of integers, R is the set of real mumbers. 1. Functions f, 9, and h are defined as f:R…

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Q: Question A. Find the domain for the given functions.. 1 f(x, y) = x + y 1 2 Зху f(x, y) =

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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.