Find the interval(s) wheref (x) =vx+ 2x+6 jis continuous. A) [2, 6] B (-*, *) C) -6, 6] D) [0, -)

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Show that f (x) = is not uni form continuous on (0,3) -3

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A: As per the instruction, we will be answering only the first question. For (a),      2 cosh2(x)-1=2…

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Q: If f is integrable on the interval

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A: Solution

Q: What is the continuous extension of f(x) = x3-1 at point x-1. %3D x2-1'

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Q: ) Verify the continuity of the function f(x, y) 26– 2x -- y at the point (2,-3).

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Q: (b). Find the bound for absolute error at x = 2.9 on the interval [x, x,], where x, = 2.25, x, =…

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Q: 5. Show that the functions x, x² interval [-1,1]. x are mutually orthogonal in the -

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Q: (b) Verify mean value theorem for f(x)=x² - 5x+6 over the interval [1,3].

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Q: Prove the interval [0, infinity) is closed but not bounded

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Q: See image below.

A: We subtract x from both sides

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Q: Suppose that f(1) = 5, ƒ(4) = -8, f'(1) = 4, f'(4) = -2, and f" is continuous. Find the value of |…

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Q: Show that f (x) =++1 1 - is not uni form continuous on (-1,0)

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Q: 12. Let f (x) = x + find all the critical %3D points and use the second derivative test to prove if…

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Q: Q1) check the continuity of fX) at X--1, 0,1.2,3 -1<x<1 f(x) = 2x-1, 3x-2 2SxS3 2, 1=3

A: As per the answering guidelines we need to answer only first question so please repost the other…

Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the…

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Q: 4. Verify Mean Value Theorem for the function f(x) = 2x ° - 6x2 + 2 in the interval %3D [a, b],…

A: given function :

Q: let Peas be delimed by Xく2 3-X I5 fixo continuous V= 2 2.

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Q: find θ on the interval [0,π] such that r=1-2cosθ is in the first quadrant Precalculus

A: Explanation of the answer is as follows

Q: 2. Use the Intermediate Value Theorem to prove that the equation e* = 4 - x³is solvable on the…

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Q: Let f : [0, ∞) → [0, ∞) be the function defined by f(x) = √x. Show that f is a bijection.

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Q: Show that cosh x> 1 + x² for all x.

A: comparison

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Q: If f(z) is analytic with constant modulus show that f(z) is constant u=3x²y+2x²-y³-2y²

A: To Proof :-  If f  z is analytic with constant modulus , show that f  z is constant.  Given :-  The…