In the function f(z)%3Dz" we have f(z) is not differentiableo f(z) is not analytic O f(z) is analytic O d n-1 dz

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is…

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Q: 13. Show that the following functions are contin- uous but not differentiable: (a) z (b) |z²2 (c)…

A: 13) We need to show that given functions are continuous but not differentiable. We know that , a…

Q: The graph below represent the domain of the function O f(1, y, 2) = /oty 1 %3D O (1, y) = In(1 -z +…

A: Given the graph is

Q: - Prove that the functionƒ : R² → R defined by ƒ(x, y) = x² + 4y² − 1 is neither injective nor…

A: Domain: The set of all the values of x, y for which the function fx, y is defined and real-valued is…

Q: X+4x+x-6 P+x-2 x+1,-2 Where is the function f(x)= x=-2 discontinuous? Oa. 1 Ob. -2 Oc. 1, -2 Od. The…

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Q: 150 – 4x? – 2y ? Let f(x, y) | Evaluate f(5, 0)

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Q: Consider the function below. (x, y) = x²e^xy (a) Evaluate f(3, 0). (b) Find the domain of f. ORX (0,…

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Q: Show that the functions f: R → R defined below are continuous. (a) f(=) =2-z; (b) f(z) = 2 - 3z. (c)…

A: a). fx=2-x Let c be any real number. Now, fc=2-c & limx→cfx=limx→c2-x=2-c Clearly, limx→cfx=fc…

Q: s(2) f(z) is analytic in C

A: Ans : false

Q: 4

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Q: -1.5 -1 -0.5 0.5 1 1.5 f(x) -1 -4 -6 -7 -6 -4 -1 f'(x) -7 -5 -3 3 5 7 Let f be a differentiable…

A: f(x) has a relative minimum at x=0 Reason 1: Value of f(x) is decreasing in (-1.5,0) and increasing…

Q: show that F(X<1|Y<y) + P(X <1) for some z, y.

A: dependent events:  Two or more events are said to be dependent if occurrence of one affects the…

Q: 3z 10r 25 5 V5z for 5 Given f(x) %3D 10 for a = 5 Is the function f continuous at a 5? Give…

A: Topic = Functions Function is not continous at x=5

Q: Determine the global extreme values of the function f(x,y) following domain: x ≥ 0, 0≤ y ≤ 3, y ≥ x.…

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Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

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Q: 3. Sketch the domain of the following functions: a) f(x,y)= 1-x-2y et² + y² - e b) f(x, y, z)= xyz…

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Q: Evaluate F· dī where C F = = , and C is given by - T(t) = , 0 < t < T 0 <t<

A: Given

Q: Зх +2y The function f(x,y)= is discontinuous at point x +y+1 (5,-3).

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Q: (x+ 1)ª – y² (x + 1)4 + y² - if (x, y) # (–1,0) et f(x, y) -1 if (x, y) = (-1, 0) Show that f is not…

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Q: 1. Let f(x) be a differentiable function at the point where x = a. Give a verbal description of each…

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