Find the value of "k", given that the following function f() is continuous at z = 3 %3D 2-6x+8, ka? + 17, r> 3 f(z) = I<3

Q: Evaluate the function shown, where ƒ is continuous on [3, 8], ƒ(3) = 4,and ƒ(8) = 20.

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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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A: This is a calculus problem and I solved it in the next step.

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A: Topic = Functions  Correct letter is C

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Q: For what values of a is

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

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Q: Find the absolution extrema of f(x) = (In x)2 on [1, e].

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Q: Let f be a continuous function such that | f(x) da = 13 and 10 3 f(x) dx = 8. What is the value of…

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Q: If f is continuous on [a, b], then the horizontal line y = k for every k between f (a) and f (b)…

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A: Given function is Since f(x) is continuous for every x. So, f(x) is continuous at x=2.

Q: For what values of a and b is -2, xS-1 f(x) = ax - b, -1 <x<1 3, continuous at every x?

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Q: Find the value of "k", given that the following function f(r) is continuous at z = 3 I-6x + 8, r > 3…

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Q: Consider the following. PX)={ S-5x, f(x)= x² – 2x + 5, X 4 Find the x-value at which f is not…

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Q: 5. Find interval where the following functions is continuous. a). f(x) = Vr +1 b). f(t) = r+3 47-1

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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

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Q: Given a2 +1, x 1. Is f differentiable at x = 1? Is it continuous at x = 1?.

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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: Determine if the function f below is continuous at x = 1: ſ1– VT- x, x 1

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Q: Find the value of "k" , given that the following function f(x) is continuous at x = 3 OL + 8, f(x) =…

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Q: B/ For what value of a is fo continuous at every x? x? – 1, x< 3 { fx) = 2ах, x2 3

A: Our objective is to find the value of a for which f(x) is continuous at every x.

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A: Consider an interval a,b and its partition a=x0&lt;x1&lt;x2&lt;⋯ &lt;xn=b. Then the integral ∫abf(x)…

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

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Q: . For what value(s) of c is f(x) = 54-x³, x < 3) %3D lcx² + 13, x 2 3) continuous everywhere?

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Q: 21] For the following continuous pdf, find: (a) F(X), (b) P(X> 1000), (c) E(X). (d) Var(X). -*/2000…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Is the given function f (x, y, z) = xª – 6xy? + 723 continuous at the origin? Yes No

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Q: Find the value of "k", given that the following function f(z) is continuous at z = 3 (x² -6z + 8, >…

A: Continuity

Q: 3. What value of k would make f (x) continuous at x = 3 ? 3.

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Q: Find the value of the constant cc that makes the following function continuous on (−∞,∞). f(b)={cb+1…

A: The value of c calculated as follows.

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

A: Let f is continuous at x = 3 then left and right limit are equal.

Q: Give a formula for f(x) given that f is continuous and 2 x +x* + 2 = f (t) dt t+ 2

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Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2

A: Given thatfx=kx2         x&gt;2kx+4    x≤2We have to find value of K for which function is…

Q: Find the value of "k" , given that the following function f(x) is continuous at æ = 3 x2 – 6x + 8, x…

A: This question is related to continuity of function.

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

A: We know that , if a function is continuous at every real number , then it is continuous at x=-9…

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

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.