For what value of the constant c is the function f continuous on (-o0, 00) where S cx + 6 if x E (-00, 4] f(x) | ca? - 6 if a E (4, 00)

Q: For what value of the constant c is the function f continuous on the interval (-0,0). f(x)={x² -8,…

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Q: He)=(x+2)e f has absolute extreme values on ?

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Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: dx -= In(F (x))+C. What is F (/3) if C=0? For (x+x³) (xtan-'(x) + 1)

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Q: If f(x) is continuous on (-15,-5)such that, -10 SI5 f(x)dx=13 and/" f(x)dx =6 then find f(x)dx -10…

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Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

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Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: For what value of the constant c is the function f continuous on ( – o∞, ∞) wh- ct + 2 if t 8

A: The function is defined in a manner such that it is continuous everywhere. The function is given to…

Q: Q2g If DF(x) = f(x+h)-f(x) for fixed h then find sh (ex-)) = ?

A: We have to find the △h(e2x-1).

Q: For what value of the constant c is the function f continuous on ( - 0, 00) where cx + 6 if a 7

A: Given      fx = cx+6            if x≤7cx2-6          if x&gt;7To find      Value of c where function…

Q: For what value of the constant c is the function f continuous on (-o, co)? ( cx2 + 8x if x < 3 f(x)…

A: Given: For what value of the constant c is the function f continuous on (-infinity, infinity)

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

A: Please see the the answer below.

Q: (e) For wi at numbers x, - 2SXS 2n, does f(x) = 4? Where does f(x) = -4? f(X) = 4 for x =

A: The given function is: f(x) = 4sin(x) In the interval -2π≤x≤2π

Q: The range of the function f (x, y) = In(-x² – + 1) is [0; +0) None of these O [0;1] O (-00;0]

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Q: (x+14 if x S2 5. Let f(x) = x? if x>2 Find the value of k that will make f continuous on (- o, 0).

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Q: For what value of the constant c is the function f continuous on (-0o, 00)? { ca? + 2x, if x 2.

A: Given: fx=cx2+2x,x&lt;22x+4,x≥2 We know that any given functionfx will be continuous at x=a if,…

Q: 13. A differentiable function f on the interval -2 sxs7 is such that f'(c) = 0 where -2 <c<7. If…

A: Clearly we have, f'(c) = 0. Means c is a critical point.

Q: For what value of the constant c the function f continuous on (-o, co)? S cx? + + 9x if x < 4 f(x) =…

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Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: If f(4) = 14, f' is continuous, and f'(x) dx = 16, what is the value of f(7)? %3D f(7) = %3D

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Q: cx +5 f(x) = for x 2

A: Explanation of the answer is as follows

Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

Q: dx - = In[F(x)]+C•What is F(3) if C= 0? For (1+*;_u®L x)(g*+ x)

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Q: For what value of the constant c is the function f continuous on (- o, 0) wh- cx + 7 if x 8 C =

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Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

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Q: For what value of the constant c is the function f continuous on (-o, co) where = { cy+5 if y € [8,…

A: The given function will be continuous if  LHL=RHL   =&gt; Left Hand Limit = Right Hand Limit…

Q: For what value of the constant c is the function f continuous on the interval (-0,0). f(x)={x² -8,…

A: Given:f(x)=x2-8, x≤c4x-12, x&gt;cf is continous on (-∞,∞)

Q: Given the function: x² –4 if x + 2 f(æ) = { k, 2-x if x = 2 What should be the value of k so that…

A: We have to find value of K

Q: Find the values of a and b that make f continuou s everywhere fcx) = X2 -4 X-2 if x<2 ax? -bx+3 if…

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Q: dx - In(F(x))+C. What is F (3) if C=0? For (x+x) (xtan-'(x) +1) A

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: If f(1) = -0.6, f'(x) is continuous, and f'(x)dx = -12.2, what is the value of f(4)? %3D

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Q: 1. Use the definition to find f'(e) if it exists *, if z< 3 S(x) = c= 3 -3r, if r 23

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Q: Find the value of the constant c that makes the following function continuous on (-0, 00). са + 4…

A: We will solve the problem

Q: df If f(x) = e" In x, then, when x 1, is dz nonexistent O 1/e O 2/e e

A: Answer is below

Q: 25. Find the constant(s) c for which the function f(x) is continuous on (-∞,+ ∞) (c? — х2 , х<2 12…

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Q: 46. Find the values of a and b that make f continuous everywhere. x? 4 - if x 3

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Q: - (т + 1)с, (2х + 1)с — г? — 5, if x 1 f(x) =

A: Given the function f(x).

Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your…

A: Given,  over the interval  .

Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: 5 Given that y is a function of x, differentiate the expression (x + y) with respect to x. Enter D…

A: The objective of the question is determine the derivative of the given function.

Q: Given f and g are continuous functions and f(x) dx = -3 and g(x) dx = 5. What is [3f(x) + 2g(x)] dx…

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Q: For what value of the constant c is the function f continuous on the interval (-oo, oo). Sz² - 9, 8z…

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Q: If f(6) = 15, f'is continuous, and f (x) dx = 15, what is the value of f(7)? f(7) = %3D

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Q: For what value of the constant c is the function f continuous on (-00,00) f(x) =Cx+4cx+5 ifx<1…

A: Here we have to find the value of constant c for which the function is continuous.

Q: For what value of the constant b is the function f continuous on (- 0, ∞) where x2 – 36 if x 6 1 6…

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Q: If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(5)? %3D f(5) =

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Q: For what value of the constant c is the function f continuous on ( -o, + o) where 8x - 5 I6 c = O 82…

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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.