Given the graph below, determine the function H(x) is continuous at the following values of x: 1. x=2 2. x=-3 3. x=0 Heaviside function H(r) N-NO RECS

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Is the function f(x) = > ` continuous at x = 0? Explain your answer. n=0

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Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: Use the graph to answer the question. Is f continuous at x = 0? 4- Yes No

A: The graph of the function fx is given by To evaluate: Whether the function is continuous at x=0 or…

Q: Below is the graph of f'(x) (the derivative of f(x)). Assume that f(x) is continuous for every real…

A: Consider the given graph: f'2=f4−f04−00=f4−104f4=10

Q: For what value of c is the function defined below continuous on (-o, o)? – c², f(x) = { x - c², x<…

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Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

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Q: In the given equation as follows , determine whether the statement is true or false. If it is false,…

A: f is continuous function on [0,∞) and ∫0∞f(x)dx diverges

Q: The following represents the graph of the derivative f'(x) of a continuous function.

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Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

A: Formula for calculating the instantaneous rate of change of a function is given by - f'(x) = limh→0…

Q: - Is the function given by G(x) = Why or why not? continuous at x = 0?

A: We know that function is continuous only if its left hand and right hand limit equal, That is ,…

Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: For the function f whose graph is given below, list the following quantities in increasing order,…

A: Topic = Application of Integration

Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

Q: The graph of f(x) has a corner at (a, 1(a)) if f(x) is continuous at 'a and left-hand derivatives at…

A: In this question we will use basic of calculus i.e concept of continuity and differentability. We…

Q: Determine if the following function is continuous at the indicated number. 3. g(x) = { ( 3 – x, x 1…

A: It is continuous function problem.

Q: Use the graph of the function y = f(x) provided above to fill in tables below (write DNE (does not…

A: We have to find the limit from the figure.

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

A:

Q: Is the function continuous  f(x) = e^x / 1 - e^x

A: We need to check the continuity of the function

Q: (2x+5 3. g(x) = {x? +2 x -1 at x = -1 x= -1 i. ii. i.

A: Find LHL  and RHL   and  g(-1) then equate all the values if all are equal then it is continous if…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given :             f(x) =1(4-x2)

Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

Q: Given f(x) = 3√x, find f'(x) using the limit definition of the derivative, f(x +h)-f(x) f'(x) = lim…

A: Given the expression for the derivative of the function is: f'x=limh→0fx+h-fxh And fx=3x

Q: Consider the following. S-3x, f(x)={2 - 2x+ 9, x > 2 Find the x-value at which f is not continuous.…

A: We will find the value of x at which the f is not continuous and whether the discontinuity is…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: A function is continuous in a given interval, if the graph of function makes a continuous or smooth…

Q: and if the function is differentiable at x

A: The Given function is f(x)=x+33  ,  a=-3

Q: Find the value of the constant aa that makes the following function continuous on (−∞,∞).…

A: Since the function is continuous at every real number , so, it is also continuous at x=5Therefore,…

Q: Which of the following functions is continuous at x = 4? O csc(). I-4 --2

A: Given:- cac(πx/4)  1/(x2-4)  √x/(x-4)  1/(√x-2) To find:- Which of following is continuous at x=4

Q: Find the value of the constant c that makes the following function continuous on (−∞,∞). f(x)={x^2−c…

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Q: Assume that f(x) is everywhere continuous and it is given to you that f(x) + 8 lim x→2 x - 2 = -4 It…

A: Consider the given expression limx→2fx+8x-2=-4 Or, -4=limx→2fx+8x-2                            …1…

Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)…

A: In the question we have to find the instantaneous rate of change of the given function.

Q: sketch the given function and determine whether it is piecewise continuous on[0,∞).

A:

Q: 3. For what value of b, f(x) is continuous at every x? f(x) = {, x -2

A: Given that, fx=x         x&lt;-2bx2      x≥-2

Q: At what points of R? are the following functions continuous?

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Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.

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Q: . Is the function continuous on the interval (4, 10)? (x + 1 if x > 8 f(x) = E) + 7 if x < 8 A.…

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Q: Is the following statement correct? If the function f is continuous at x=1, then the constant a…

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Q: The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y y…

A: Given that: Graph of f'(x)

Q: At what points of R² are the following functions continuous?

A: A function is not continuous at the value of variables when the function does not give a defined…

Q: Below is a graph of f' (x), the derivative of f(x). A B D E When is: f(x) greatest? f(x) least? f…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

Q: For what value of a is the function continuous at every x?

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Q: Which of the following functions will not be continuous at x = -5? Select one: a. All of these…

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Q: The graph of the second derivative f"(x) is given below. On what interval(s) is the function f(x)…

A: NOTE: Refresh your page if you can't see any equations. . the function is concave up when  as we…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.