|x| 8. g(x) 7. f(x) = V2 - x %3D 6. f(x) x - 9 VI + 1 11. g(x) 10. f(x) : %3! 9. f(x) x? - 4 Vx + 8 x2 + 2x - 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: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: f(x) = v3x _g(x) = 7\x + 6 h(x) = 9\x – 3 J(x) = 8x k(x) = -8/3x m(x) = x + 4 n(x) = 2\3x r(x) = v3x…

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Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: According to the Q&A guidelines, one question can be answered. Please repost other questions…

Q: 26. g(x) = 3x+ 4 %3D 5. f(x) = (x + 3)² – 5 for x<-3

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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

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Q: #20

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Q: Find the critical points of the functionf (x) = 4x³ – 48x+2. а. 2,3 b. -3,3 C. -2,2 d. -2,-1

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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: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

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Q: 1. Differentiate the following and for each state whether you have used the product rule and/or the…

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Q: The profit function of a certain firm is f(x) = -6x² + 1188x - 1200, where x denotes units of…

A: The profit function is fx=-6x2+1188x-1200 Here, x is the number of units produced. Part a We need to…

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: If g(x) = max {x, 1/x} what is g(x) when x ϵ N2 (.5)?

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Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: The antiderivative of the function f(x) = + 8x is x2 6. + 4.0x2 + c - 4.0x2 + c - -8 + 3.0x2 + c -9-…

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Q: What is g'(x) when g(x) = In 3x2+6x+7 ? 2x2+2x3 Select the correct answer below: 6x+6 4x+6x? g'(x)…

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Q: Evaluate: x/9x2 + 4 (A f (x) = -4 ln V9x2 + 4 + 2 +C f (x) = - In 4 V9x2 + 4 + 2 + C 3x © f (x) = -2…

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Q: 2. Given : f(x) = {x² - 3, x+3 6, %3D X = 3

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Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: f(x)=1/5 x^5 - 8/3 x^3 +16x what are the critical points?

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Q: If f(x) = 3x-1 +4 and g(x) = 4x-7, what is (f- g)(x)? %3D O A. (f-g)(x) = 3x-1 - 4x- 3 %D B.…

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Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

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

Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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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: 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: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: The critical values of f ( x ) = x 2 e − x 2 are?

A: Given, f(x) = x2e-x2      Critical point of function is a value of X in domain of function at which…

Q: . What is F(/3) if C = 0?

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Q: 2) f(x) =15 - 8x A) s'(s) = B) s"(x) = x 2 C) 3x- 15 s"(x) = 8. D) s (x) = x - 5 3.

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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?

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Q: 7. Given f(x) = x² – 5x ,

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Q: (x2, f(x) = { ax + b, 3 s x s 4 [x+12, х>4 x<3

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Q: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

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Q: 3. Given that g(x) = 3x – 2, h(x) = x² + 1, hg(x) = А 3x2 + 1 в (3x - 2)(x2 + 1) С 9x2 - 12х +5 D…

A: We will find hg(x).

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: |0, elsewhere Find the expected value of f(x) =x² – 5x + 3

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Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: The sales function for a product is given by S(x)=127+30.6x2−0.6x3S(x)=127+30.6x2−0.6x3, where x…

A: Given Sales function for a product is, S(x)=127+30.6x2-0.6x3,  where x represents thousands of…

Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) » (gof)( x + 8 If f(x) = 3x – 8 & g(x) = then find…

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: 1. g(x) = 2 + x – x² , find f'(-3) H 2. f(x) = 4x, find g(2x) 3. g(x) = x° – 14, find g(3) 4. g(x) =…

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Q: 4. f(x) = 10-5x² 5. f(x) = e[ 6. f(x) = /In(e 3x + a³x) %3D

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Q: dæ Evaluate: æ/9x² + 4 9x2 + 4+ 2 + C V A f (x) = -4 ln 3.x f (x) = -2 ln V9x2 + 4 + 2 + C None of…

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