Evaluate and tell whether the given function is continuous or not. 1. f(x)=Vx+ 3 at x=3 2. f(x)= x-9 at x=9 V-3

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: True/False: If ƒ is entire and |f(z)| > 2 for all z E C with |2| > 1, then f is a constant function.

A: If f is entire and fz≥2 for all z∈ℂ with z≥1Let gz=1fzas fz≠0 for any z∈ℂ⇒g is entire gz=1fz<12…

Q: Suppose ƒ is an even function and Evaluate

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Q: Determine if the given function is continuous and differentiable at the indicated values of x. Show…

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Q: find all possible functions with the givenderivative. y' = √θ

A: We first separate the variables

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: 4. Find the extrema of the function f(x) = Vx (x + 1) and the intervals on which its graph is…

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Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: 8. Suppose that f is a continuous function such that f'(x) > 0 for all æ, f(0) = 0, and f(1) = 1. If…

A: f'(x)&gt;0 for all x, f(0)=0 and f(1)=1.To Find: If ∫01f(x)dx=13, find the value of ∫01f-1(x)dx.

Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-, +0) Find the following: (a) The…

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Q: 3. Consider the function for x +0 f(x) = for x = 0. (a) Would you expect S f(x) dx to be defined?…

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Q: 54. Is the function given by SEx + 4, for x s 3, 2x – 1, for x > 3, g(x) continuous at x = 3? Why or…

A: The given function is;  g(x)=13x+4for x≤32x-1, x&gt;3 we have to check the given function is…

Q: 7. For what value of the constants A and B is the function f continuous on (-0o, 0)E AV-x+6-1 for x…

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Q: 2) An elastic tire is described by the iven by the function f(x, y) = 4xy. Use

A: Introduction: The Lagrange methodology is employed to maximize or minimize a general performance…

Q: 35. Given that f(z) is a continuous even function, then A 0 B D

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Q: A rectangular field is to have an area of 900 sq . m. This is to be enclosed and divided into three…

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Q: 3. For what value of a, f(x) is continuous at every x? Sx2 – 1 2ax x 3 f(x) =

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Q: 1) Find the value of Z that make the function continuous at x=4? V-2 x + 4 X-4 f(x) = {z3 x = 4

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Q: For all but two choices of a, the function (x) x if x a will be discontinuous at the point x = a.…

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Q: V4+x-2 If f(x) = ,x*0 be continuous at x = 0, then f(0) = 1/2 1/4 3/2

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Q: (c) Let g : R → R be a continuous function such that +5x-9 g(t) dt = –3x . Help Willow find the…

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Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: 4ex +x-k if x 0 be continuous everywhere?

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Q: 2 + 7x if x < 4 Let f(x) if x 2 4. For what value of the constant c is the function f continuous on…

A: Given function is: fx=cx2+7x       if x&lt;4x3-cx          if x≥4 We know that a function is…

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A.…

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Q: x2 – 1, if x 1 Let f(x) (a) Is y = f(x) continuous at x = 1? (b) Is y = f(x) continuous at x = 2?

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Q: Q2/ (a):Find the points at which the function f is continuous and the points at which ƒ is not…

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Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: 10 If f is a continuous function and F(x)=f(x) for all x€R, then | f(Gx)dx=?

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Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

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Q: 4 For what value(s) of x is the function f(x) х? — х — 12 NOT continuous? A. x = 3 and x = -4 В.…

A: Given function is  f(x)=4x2-x-12

Q: Q 5) Suppose that f" is continuous and f' (c) = f"(c) = 0, but f(c) > 0. Does f(x) have a local…

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: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

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Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: 2. Usc the Definition, f'x (x th)- fCx), to find ん the derivative for the function f(x) = - -9x+5 =…

A: According to the definition of derivative of a function fx,…

Q: Q9. Provide the following examples: (a) a function g whose domain is R\{7} and whose derivative at 0…

A: To determine: a) A function g whose domain is ℝ\ 7 &amp; whose derivative at 0 equals 2. b) A…

Q: 3. Use the given graphs of the first and second derivative of a continuous function to answer the…

A: To find:- From given graph A. Set up a number line to represent where f'(x) is positive, zero, and…

Q: 2 2 If f is continuous on [0, 2] and / f(x) dx = 5, find the value of | f(x – 2) dæ.

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Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6

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Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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Q: x², if xs1 4. Let f(x) = . Find f. (1) andf'(1). Does f'(1) exists? 2x, if x>1 Show that the…

A: 4. fx=x2,if x≤12x,if x&gt;15. y=f(x)=x2-3x

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

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Q: 2. Consider the function below and the point (x, y, z) shaded in red. Is fa positive, negative, or…

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Q: .3 Suppose that f is a continuous function and that f(x) dx = 6. Find f(3x)dx.

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Q: Find the linearizationsof the following functions at x = 0. tan x

A: Linearization is tangent line at a point x=atangent equationy-y0=mx-x0m=f'a