5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

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

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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: For 31

A: From the given diagram the points of the graph of y= f(x) are (–1,–2),(0,1) and (2,–1). Given…

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

A: Given the function

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

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Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

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Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

A:

Q: -3х - 4 х-1

A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…

Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: #20

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

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Q: 4 Suppose that f(x, y) = x4 + y xy

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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: 7. Iff (1) = 5, which could be the equation for f (x)?

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Q: 6. f(x) = x + ty -41 -4-2 0 2.

A: Solution: The objective is to graph the given linear 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: 2. f(x) = x| (0, 1)

A: Given: fx=x, 0,1

Q: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…

A: Hereupon plotting we can see that horizontal tangent can be drawn at points x=3 and x=6.  Note: The…

Q: Graph the following functions.

A: the given function is: fx=2x+2,         if x&lt;0x+2,          if  0≤x≤23-x2          if  x&gt;2 we…

Q: Suppose x E R. If x³ – 4x4 + 3x3 – x² +3x – 4>0, then x2 0. - |

A: Given that x∈ℝ. We have to prove the statement "If x5-4x4+3x3-x2+3x-4≥0, then x≥0" by using…

Q: 13. If f(x) = 3x -4 the equation for f¹(x) is 0y=x+3/ 3 Oy=1/x+³/ Oy=4x+3 Oy=3x+4 4

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Q: Graph the function

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Q: (x -1, if 0 < x < 1 2x f(x) = |x – 3| , g(x) = -4 Vx, h(x) = %3D , if

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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: 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 |

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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 +…

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Q: 7. (a) f(x) < 0 X= -1 X = 1 (b) f(x) 2 0 41 y. 3 y = 0 -3 3- -3

A: Graph of the function is given we have to finda) f(x)&lt;0b) f(x)≥0

Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Discuss the continuity of the function on the closed interval.

A: Given, f(x)=x, x&lt;12,x=12x-1,x&gt;1

Q: From Variation of parameters for the 2 -1 X' X + e 3 -2

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Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

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Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

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: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

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Q: -2r +1 s2 2) f(x) = 5r-11 2 f(2) = f(-4) = f(8) = X

A: Given,

Q: 4. F(x)- F(x)=L x-1 5. Gx)-8-2x 6. h(t)= 2-1

A: For a real valued function f(x) We have to find all points x where f(x) is well defined Those points…

Q: 7. Given f(x) = x² – 5x ,

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Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =

A: Here we have to find the value of the given function at the required points. Initially we have to…

Q: If x = xf(y)- 1 then, 1-f(y) 1. y - 1-f) xf') 2. y = L)-1 xf G) 3. y--fo) 4. y =-f)

A: Given x=xfy−1 Use formula  ddxxn=nxn−1 and ddxc=0, where c is a constant. Differentiate  x=xfy−1…

Q: Suppose F(2) = 1, F(8) = − 1, and F'(x) = f(x). - 10 [ f(x) dz = 10

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Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: how would I solve Suppose f(x)=7(2.1)^x and g(x)=56(1.3)^x. Solve f(x)=g(x) for x?

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

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Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

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Q: S-3 if x 0 4. f(x) = at x = 0

A: Given: fx=-3 if x≤02x if x&gt;0 at x=0

Q: 4. If h(x) = 2x – 3, find h(x²) and [h(x)]². 5. f(x) =- 2 6. f(x) =*

A: