デー 3) f(x) = x ーオくXく Ans. 3

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: 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: 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: 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: 2 The derivative of y = 3x? 3 + 3x is 2x 3 A. y =** 2 2 3 x° + x´ +3 3 4 4 В. у B. y' = +3 2x2 + 3x…

A: Derivative.

Q: X(1+x²), 0< r<2, f(x) = 0, otherwise

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Q: Sketch the graph of the function.

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

Q: 8. f(x) = -x? %3D Xニ.

A: In this question we have to solve graph the given graph.

Q: 2-5. -1sx<0 3x, 0<x<1 4, f(x)= x=1 - 2x +5, 1<x<2 3. x=2 1, 2<x<3

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Q: 4. Find the inverse function of fx) = 25-x2,0Sx 5 1 а. 0sxS5 25-x2 b. x)x+5, - 5sx35 с. f(x)= x2-…

A: The given function is

Q: Discuss the continuity of the function.

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Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Evaluate the function at the indicated values.

A: The given function is fx=4-3x-6

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…

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Q: Find the natural domain and graph the functions in Exercises 15–20.

A: (15) Consider the provided function, fx=5-2x Find the domain of the function. The domain is the set…

Q: 1. If fx) — х2 — х + 3, find f(0), f(2), f(-4), R-2х) 2. If fx) - 7 — 2х + x?, find f(0), f(3),…

A: Using value of function.

Q: 6. f(x) S(x) =-- x-3

A: Given query is to find domain , vertical asymptot and the intercepts of the function.

Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

A:

Q: determine L−1[F].

A: Given that, Taking inverse Laplace transform from both sides, By using L-1{aF(s)] = aL-1{F(s)}; a…

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

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Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

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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: z(#-x)- 202 What is the value of when X =u e

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3s+7, Find L'f 's2+9*

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Q: Find the first and second derivatives of the functions

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Q: 3x- 7x -4 Find the derivative of y = 2 O A. y' = 9x2 +8x-3 O B. y' = 18x2 + 8x-3 OC. y'= 9x? + 8x³ -…

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Q: 2 4x f(x) = * - 9 I + 2

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Q: 33. Find the derivative of f(x)= (3x-2x?)ª 1. 3(3x-2x²)² II. 3(3x-2x³)² (3-4x) II. (3x-2x?) (3-4x)…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5-x 10' to receive from an insurance c f(x) = x = 1,2,3,4

A: The random variable x be the number of months with pdf is f(x)=5-x10,  x=1,2,3,4

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: c) L{tU(t – 2)} d) L{sen t H(t – "/2)} e) L-1se- s²+16, e-2s

A: Given: a) Lt ut-2 b) Lsint Ht-π2 c) L-1se-2ss2+16

Q: 5. Find the derivative of 9x2f (x) A. 9x[x f(x)+2 f'(x)] B. 9x[x f'(x) + 2 f (x)] C. 9x²f'(x) D. 18x…

A: Answer is-  Option B is correct Explanation is given below....

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

A:

Q: 2x – 3 if x >0 3x – 1 if x 3], [ƒ 9]. Q. Given f(x) = -- - |

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Q: 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²)

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Q: 14I hox)= x)-0, whese fCn=2 and fとい=8,

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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: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

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: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

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Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

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Q: f (x) = -10x² + 10x +480 – 160x + 40x as x -oo, ƒ (x) → -∞ as x → -00, f (x) → +o as x +oo, f (x) →…

A: We can use the concept of graphical analysis in order to solve the given problem.

Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…