For items 8-9 Let f and g be continuous functions in the interval a < x

Q: V1– 3x, if x -1 2x +1 Show that f is continuous at x = -1 is differentiable there by computing the…

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Q: E. Find the value of a .

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Q: them to evaluate Ax) f'x) b. dx а. 3 -4 Ix=9 -2 9. 6. 0.25 6.

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Q: x+x+6 1. Find ALL extremum of the function f(x) = on [2,9]. Use both the derivative and then x-1…

A: Let's find.

Q: 00 If f(x) = > (1– (sinx)²)" .Determine the value of n=1 (c) 3 (d) 4 (e) None (a) 3 a b d

A: Proceed as shown below

Q: . True or False For a function y = f(x), for each x inthe domain, there is exactly one element y in…

A: We know that for a function y = f(x), for each x in the domain, there is exactly one element y in…

Q: Differentiate the following function In z I y = 0 - 1/1/(x-²) I 1-ln z O O 1-r ln r r³ 0 1 I

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Q: 5 Evaluate the definite integral f(x) dx given the following: -3 f(x) = for x 2

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Q: -X f(x)= cx+b ax² Where c= -2 Calculate a and b so the function is continuous for all R Show all…

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Q: The function, f(x) = √1 + 9x² over the interval 0 ≤ x ≤ 1 (a) Find f'(x). Fully simplify your…

A: Given: A function fx=1+9x2 over the interval 0≤x≤1 To Find:  c) Let g be a function defined by…

Q: 2. Compute L4, R₁ and T₁ for the function f(x) = 2 on interval [1, 2]. Verify result from question…

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Q: I can't figure out question F in this problem. How do you find the solution when it is [f(x) + 2]dx?

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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: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: Differentiate the function. √/t+6√3 u' = = n 7/ X

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Q: Let f(x)=Vx in(x). Find the interval on whichf is increasing.

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Q: 13.3.17 df df and ду For the function f(x,y)= sin (x- 9y), find 2 ||

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The…

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Q: b. What are the x- int(s) c. Roughly sketch the graph. Completely factor the polynomial, given that…

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Q: Find dx for the functionf (x) = /cosh(x+ 8) T5. Select the correct answer. |

A: We will apply the power rule and the chain rule.…

Q: 4/ Answer two of the following: Vx2+1 A\ Is the function f (x) = is continuous on R. 1+cos2 x

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Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals…

A: Find your answer below

Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

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Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

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Q: (c) Using the previous part express the definite integral |r| da through the value of | z| dr [Here…

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Q: Q12 Find and classify all critical points of f(x) = x³ - 3x² - 4 using the second derivative test.

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Q: Ex 2: To 3 decimals, what is the greatest value a such ma T(x) = x ++ 30+50+ approximates f (x) =…

A: Given function is fx=xe0.2x  with polynomial  Tx=x+15x2+150x3+1750x4+115000x5 Here, n=5 approximate…

Q: S) Let f(x) = {x² –a²x if if x 2 . Find all value(s) of a that make f - ontinuous at 2. Justify your…

A: Given query is to find the values of a for which f(x) is continuous at x = 2

Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: Is the following function continuous at a = 1? Explain why. x2 +4x 21 - f(x) = ifx # 3 X - 3 6. ifx…

A: Consider the function  fx=x2+4x−21x−3              x≠36                                 x=3

Q: For what values of the constant c is the function f continuous on (-o, )? Show your work. S ex + 4,…

A: Please see the answer below