Vx2 – 9 -5 · x – 1 + x + 10 1 - f(x) = %3D 8 13 (x – 5)š . x- Which of the followings sets are contained in the domain of f?

Q: Use the def'n of to test the dif ferentiability of the x=0 : ヘ人る given gn at Sx²+2x-1, x<o ○け f(x) =…

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Q: 3. Let f(2)= and let C = {2 € C : |2| = 1}, described in the positive sense. Determine the value of…

A: 3. Given function as f(z)=z4-5z2 and C=z∈ℂ:z=1

Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

A: (7) The function is given as , fx=x3 find c for fc=fave where fave is average value of f on 0,27.

Q: 3 If f(x) = 2 + x, evaluate Σƒ (k+1). atas (k k=1

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Q: 4. Let f(x) = 4x22/3-19x71/11 Determine the largest n for which f E C". %3D

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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 (b) Suppose that f(x) (Bx² – 3 (Вх + 2 *> 2 if Find the value of B so that f(x) is continuous…

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Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

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Q: A fX-Y where X,Y e Z* , and 0s<X <23 and, 0<Y<59, X is hour of clock and Y is minute of digital…

A: Yes. f is well defined because we can measure the every numerical value of the function and can…

Q: For f : R → Rf (x) = /100 – xHow many elements of the range of f (x}are integers?

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Q: 1 Let f(x) Complete the following computation. 17 11x - f(a)- f(7) 9(z) (-7) h(x) where g(x) %3D x -…

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Q: 1 Let h(x) x2

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Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: for all x, so in particular we k |F'(c) s -2 + r f(4) is

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Q: The domain of the function f(x,y)= V1-x²-y² +In(x²+y² – 1) is empty Select one: O True O False

A: we have to find the domain for f(x)

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: Which of the following is a critical number of f(x)= 4. 2x %3D

A: The given functIon is: f(x)=14x2-2x

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: 5. Let h(x) = 4f (x) – 5g(x). Evaluate h'(8). %3D

A: We have to differentiate the given function first.

Q: Let f(x) = x* + 2x3+ 3x + 4 E Z [x]. Then x = -1 is a root for f (x) of %3D multiplicity: None 3.

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Q: Suppose f:N→ N has the rule f(n) = 3n² – 1. (a) Determine whether f is surjection onto N and show…

A: a)   The given function is not surjective. Because there is no pre image n of 3 in the domain N such…

Q: ? Suppose that * f(3) = 1, and f(x) > 0, and f(x) < 0. Is it possible that f(2) = 3 4

A: Given fι 3=12  and    fιx&gt;0and fιιx&lt;0 . it is possible that fι2=34let g3 =  fι 3=12    ,…

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: Find f such that t'(x) = x - 2 and f(0) = 6. f(x) = O

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Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

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Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

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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: ,x2

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Q: Let k(x) = f(x)g(x) h(x) If f(x) = 3x, g(x) = x – 2, and h(x) a? +x + 1, what is k' (x)? = - Select…

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Q: 2. Let f(x) =-x°(x-2)°(x+7)°. a) As x→ 0, f(x) → b) As x→-0, ƒ(x)→. c) How many turns f(x) can have…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

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Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: Find the least integer n such that f (x) is O(x") for following function. f(x) = 17x +10x³

A: Given function is fx=17x4+10x3 We have to find the least integer n such that fx is Oxn. Since, the…

Q: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

Q: Let f(x) (x- 2)3. a. Does f'(2) exist? b. Show that the only local extreme value of f occurs at x 2…

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Q: Describe the long run behavior of f(n) = 4n° - 2n8- 5n° +1 %3D As n - 00, f(n) → As n 0, f(n) → ? v

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Q: 8) Consider the end behavior description below. • as x oo, f(x)→-00 • as x → 00, f(x) → ∞ Which…

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Q: What is the domain of f(x)=Dsin1(IIn(x)l)? %3D Select one: O (0,e] O (0,00)

A: Given, fx =sin-1lnx  We have to find the domain of  fx =sin-1lnx

Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3…

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Q: 2. Find the value of k so that the function defined by f(x) Sx² + 20 x 5 continuous at x = = 5.

A: We know that, a function fx is said to be continuous at x=a if and only if Left hand limit=Value of…

Q: 2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

A: Here we have to find the smallest value of f(7).

Q: The domain of f(x) = /1=¤ In(r) is Select one: O a. (0, x) (0, 00) O b. (o , 1] O c.[ 0,1] O d.…

A: Domain of f(x)=1-xln(x)

Q: Find f(t) if F(s) = 3s +7 s²-25-3

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Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

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Q: Given, f (x) = 2x° + 7x² – 11x +1 select the TRUE statement about the end behaviour of f(x). O x →…

A: Limit of the polynomial

Q: 3 Q7- Let fw=ex-y, Find a fun ction y =gcW So that f. 9) (x) = X+ 2 .

A: Given f(x)=2x3-4 To find a function y = g(x) such that  (fog)(x)=x+2

Q: If f(x) : 2x find y' O xy² + 1 O x O 2y-a O - {(y – æ) O None of the above

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