Is the following function continuous F(x)=x cot 5x

Q: Find the x -values (if any) at which f(x) is not continuous, where (x-5

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Q: 4. h(x) = x-T at X %3D 2. 5h(X) = x + x4-1 at X = %3D

A: Continuous function at x=a

Q: Consider the following function (i) z= arctan

A: given z=arctanyx now ∂z∂x=-yy2+x2∂2z∂x2=y2+x20--y2xy2+x22∂2z∂x2=2yxy2+x22…

Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

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Q: Describe the interval(s) on which the function is continuous. f(x) = sec x/4

A: The denominator can not be 0.

Q: f(x)=210, where is it continuous?

A: Given: fx=210 We know that graph of given function is horizontal line for every value of x

Q: Determine if the function f below is continuous at x = 1: [1– VI– x, x 1

A: We have to find

Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

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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<4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: Based on your work in part a, on what interval(s) is f(x) continuous?

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: On what intervals are the following functions continuous? f(x) tan x

A:

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: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

A: Given: g(x)=x2-3x Determine the limit at x=4. limx→4g(x)=limx→4(x2-3x)

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

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Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: Discuss whether the following functions are continuous at the specified point(s). sin(x) (a) f(x) =…

A: To determine whether the following functions are continuous at the specified points or not. (a)…

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

A: We need to check the continuity of the function

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find (*") dr.

A:

Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: Find number k, so that f is continuous at every point. tan kx f(x) = x 4x+3 k2, x 20 O O and= Cannot…

A: The function is given by fx = tankxx ,x&lt;04x+3k2 ,x≥0 To evaluate : The value of k so that f is…

Q: 17.Determine the following function if continuous at p(x) = 3x? – x +5 ;at x = 1 A. discontinuous at…

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Q: For f(x) = 4x? + 1, use the definition of the derivative, f'(x) = lim f(z+h)–f(z) h ,to find f'(x).…

A: We have to find f'x using limit definition of derivatives (quotient rule) where fx=4x2+1. We know…

Q: x +1 x 2

A:

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

A: The given function is: fx=cos x,       x≤0x2+x+1,  x&gt;0 Check whether the function is continuous…

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

A: Consider: f(x)=tanx4, −1&lt;x&lt;1x,              x≥1x,              x≤−1  tanx4is continuous on…

Q: Determine the set of values of the continuous function defined by the formula: T COSX b) g(x)= sin 6

A:

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: Describe the interval(s) on which the function is continuous. f(x) = cos 1/x

A: Given- fx=cos1x To find- The intervals on which the function is continuous. Concept Used- As we know…

Q: Determined where the function f(x) is continuous

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Q: Let f be a function that is continuous on the closed interval [1, 5] with f ( 1) = 10 and f (5) =…

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Q: Determine if f is continuous at the indicated values. x = 0 f(x) = 1 sin x x + 0 a) x = 0. ? b) x =…

A: Given

Q: Let f be defined piecewise as follows: kæ sin(x – 3) f(x) + 6, if x 3 For what value of k is ƒ…

A: Given,         f be defined piecewise as follows :         fx=kxsinx-3x-3+6 , if x&lt;36x2+k , if…

Q: Use the concept of composite functions to explain in detail why h(x) is a continuous function when…

A: Composite function

Q: 86. If f is continuous and f (x) dx = 4, finc

A: Given that: ∫09f(x)dx=4

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

A:

Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

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

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Q: Are the following function continuous F(x)=5 cot 5x

A: A function is continuous when its graph is a single unbroken curvethere is no break and holes f(x)=5…

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

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Q: Is the signum function, f(x) = sgn x, continuous at x = 0?

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Q: Consider the piecewise-defined function Ax if x 0 h(x) е (a) Give values for A and B so that h(x)…

A: Given Data: Function: hx=Axif x≤0e-1/x+Bif x&gt;0 (a) The condition for the continuous function is,…

Q: _18. Determine the following function if continuous at f(x) = ) `x + 1' ; at x = 0

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Q: Decide if the function below is continuous or not using the three conditions of continuity. { x*sin…

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Q: Interpret the first and second derivatives graphically. Drag each of the above graphs of continuous…

A: If f'(x)= + , then f(x) will be increasing. If f'(x)= - then f(x) will be decreasing.  If f"(x)= +,…

Q: Is the following functions continuous or not at z = 0?

A: To check whether the following function is continuous at z=0fz=Rez1+z

Q: Let f be a differentiable function. If h (x) = (2 +f (sin x)) ',which of the following gives a…

A: Derivative: - The spinoff formula is one in all the foremost elementary notions in calculus, and…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.