4. f(x)2-と x+ x2-2 5. f(x): Xー

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

A:

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: In Problems 55–62, determine, without graphing, whether the given quadratic function has a maximum…

A: Given the function f(x)=2x2+12x. We need to find the maximum or minimum value of the given quadratic…

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: y = f(x) 3 4 - (-2,2) (4,2) y = g(x) (2,1) -4 -3 -2 3 -1 -4 -3 -2 -1 2 3 4 (-4,2)

A: Note: As per Bartleby guidelines, only 3 subparts of a question can be solved at a time, so kindly…

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…

A: 1(c)

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

A:

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

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Q: Complete the table.

A: Given;

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

A:

Q: How do I show that F(x) are antidervatives of f(x)?

A:

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

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

A: Given functions are                                   f(x)=2x4-3x2+2g(x)=6x2-5x+2 we have to find…

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: 3 fx} -1 2 4 5 -1 f(0) = 3 f(x) = 0, x = f-'(0) = f-'(x) = 0, x = 3.

A: we have to find the following

Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

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Q: 14. If Ax) = X+3 and g(x) =x² + 5, what is f(g(4))? 2

A: We know that  (fog)(x) = f(g(x))

Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

A:

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: how that: (f)=X*(-f) x(t) is even, then b₁=0, an= To

A:

Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: 10 -8 -2 10 -2 -4 -6 -8 -10 for f(x) = |3D for 8 4.

A: We will find out the required equation of given piece wise function.

Q: 522 — 20, х 2 ||

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Q: 4 if x 2

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Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

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Q: - I5 § Continuous xa2 X2ス X=2 Xくス -2X

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: 5 2 7 . If f(x) = 3 + 4x · 2* + r", what are f"(0) and f"(0)? 3!

A: Given f(x)=3+4x-52!x2+73!x3

Q: 3 if x < -2 if – 2 < x < 3 -2x + 3 f (x) = 3 х — 2 z*ー2 if x 2 3

A: see 2nd step

Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

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Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: Suppose 2<f'(x) < 4, for -1 sxs1. Then f(1)- f(-1) is between A) 4 and 8, B) 8 and 16. C) 0 and 4.…

A: Given  2≤f'(x)≤4 for -1≤x≤1Then We know thatf(1)-f(-1)2=f'(1) (by definition of derivative)We know…

Q: f(x)=2/5- x +2 Ay 10– 8- 6- 4- 2- 8 10 12 14 -4 -2 -2- 2 4 -4- -6-

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: 5х + 4, x < 0 f(x) 5x + 8, х2о (а) f(-1) (b) f(0)

A: In this question we will use basic of algebra i.e finding vale of function at a point. we will…

Q: How can I argue that f(x) is not O(x), where f(x) = 4x2 + 1?

A: We have to prove that fx=4x2+1 is not Ox. By definition, we say that fx is not Ogx if and only if…

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…