7. Determine the points at which f is discontinuous. Identify the type of each discontinuity as with jump, removable, or infinite. y A y = f(x) 4 3 2 0 1 1 2 4 5

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 %3D

A: 7.  There is a removable discontinuity at x=1 and f(1)=4

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Q: 10.Sketch graph of the following multivariable functions a. z = +1 b. + c. z² = x² ++1 y2

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Q: 2. ASSUME f(x) IS CONTINUOUS AND DIFFERENTIABLE ON AN OPEN INTERVAL AS GRAPHED. WHICH OF THESE…

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A: (a) Here from the graph, we can see that, The graph has a break at the point x =1, that is, Thus…

Q: Suppose f(1) is continuous everywhere, and has the following values: 10 20 30 40 f(z) -4 9. 11 3. 7…

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Q: (5) Find the most general function f(t) so that the curve F(t) =, shall lie in a plane.

A: The most general function for f(t) is a constant function, f(t) = c:   <a cost, a sint, c>

Q: 3. Find discontinuous points, if any, and classify them as removable or non- removable. { if x 3 a)…

A: Consider the function, fx=-x                          if  x<03-x                          if…

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Q: Let f : X → Y be a continuous function. If X is disconnected then so is f(X). True False

A: Let f : X → Y be a continuous function. If X is disconnected then so is f(X).

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A: We have to find

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A: Given,       f(x)=x-12

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Q: 1. Write the conditions a function has to meet in order to be continuous at point a. a) b)

A: A function f(x) has to meet these conditions in order to be continuous at any point a

Q: Sketch the graph of a continuous function y = f(x) that satisfies the following three conditions:…

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Q: |Consider the function f with domain (-2, 0): 3|1² – 1| 21² + 2r – 4 if – 2<1<1 f(z) = if x = 1 3 if…

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Q: Let f(x, y, λ) = xy + λ(5 - x - y). Find f(1, 2, 3).

A: Given : fx,y,λ = xy + λ5 -x -y

Q: 2. Let f(x) = eª + 4e* 1 for x E [0, 3]. Determine the length of the graph of f.

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Q: (4.2) Consider the following function and determine the set of points at which it is continuous: 2²…

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A: Analytic function which is a constant

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A: Since f"(c)=0 and f"'(c) &gt; 0 So, this means f has point of inflection at x=c. Because f'''(c)=0…

Q: If g (x) = 1 - x, defined at 0 ≤ x ≤ 1, graph its extension on the interval [-1, 1].

A: extension of the function

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

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Q: Suppose f(x) is a smooth function that passes through the points (3, –5) and (-6, 4). Prove that…

A: Given,        Suppose fx is a smooth function that passes through the points 3,-5 and -6,4.…

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A: Given: f(-2)=0 ;     f(2)=0but there exists at least one c∈-2, 2…

Q: 5.11. Prove that the function f(z) = Arg(z) is discontinuous at each %3D point on the nonpositive…

A: Solution

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