Define g(4) for the given function so that it is continuous at x= 4. 5x - 80 g(x) = 5х - 20

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Suppose ƒ is an even function and Evaluate

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Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

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

A: Topic = Continuity

Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

Q: The graph of the continuous function g, the derivative of the function f, is shown above. The…

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Q: ] B1(a): Find the value of k that makes function continuous at x = 4 | 3x + 6 5х — k f(x) = x > 4 x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

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Q: Determine the intervals where the function f (x) = x ln x (x 7 0) is increasing and where it is…

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Q: Suppose the nonzero function f(x) is infinitely differentiable and that f'(x) = -3f(x) for all a…

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Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: On what domain is the function f(x)=1+√−6−3x continuous?

A:

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x&lt;54x+2c      for x≥5 we have to find the value of c…

Q: Give two applications of the derivative f(x + h) - f(x) f'(x) = lim h

A: The given function f'x=limh→0f(x+h)-f(x)h is the derivative by first principle.

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

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: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

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Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x&gt;6 Since the function is a polynomial function for all x&lt;6…

Q: Find the inflection points of the function f(x) = ln(x^2 + 1)

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Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

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Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

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Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: Suppose that a function f(x) has derivative f' (x) = g(x)+ h(x) for some functions g(x) and h(x).…

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Q: Show that the function is continuous. f(x) = log2(x2 + 1)

A: Consider function  fx=log2x2+1   x fx -4 4.087 -3 3.322 -2 2.322 -1 1 0 0 1 1 2…

Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: Suppose ƒ is an odd function,Evaluate function

A: Given:∫04 fx dx=3,∫08 fx dx=9∫-84 fx dx=?Odd function:∫-aa fx dx=∫-a0fx dx +∫0afx dx=-∫0afx dx +∫0a…

Q: Determine the values of a and b such that the function is continuous on (-00, oo f(x)-ax+b, -l<x<3…

A: We have to find value of a and b so that function is continous is given interval  (-inf,inf)Function…

Q: Let f(x) be a polynomial and g(x) = f '(x) be its derivative. If the degree of (f(x) + f(-x)) is 10,…

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Q: Consider the following function. f(x) -x2 - 10х - 9 Find its average rate of change over the…

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Q: Consider the function (x)=x²+2x . Using the limit definition of the derivative, show that for any…

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Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Use the second derivative to determine the intervals on which the given function is concave up and…

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Q: Determine if the function is continuous or discontinuous at x=2. h(x) = x - 1, if x 22 2x- 1, if x<2…

A: if Left hand limit and right hand limit are equal then function is…

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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Q: Suppose that g: R →R is a differentiable function, with derivative g'(x)=(x – 1)·(x – 2)² - (x – 3)³…

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Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

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: For any function f with continuous derivative f', are the following statements true of false? For a…

A: We have to check the given integration is true or not.

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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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: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

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Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: If functions ƒ(x) and g(x) are continuous for 0&lt;=x &lt;=1, could ƒ(x)/g(x) possibly be…

A: According to continuity theorem if f(x) and g(x) are continuous on [0,1] then if g(x) ≠ 0 on [0, 1]…

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.