If f(x) = Vx +3 and g(x) = x² + 4x + 5 Question 12: () (1). 1. find the value of 2. find the value (f o g)(2). 3. find the value of (go f)(2).

Q: 1 If f(x) = xī, then f'(x) is equal to %3D

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

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Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: 2. Evaluate h" (/F)dy if h(0) = 1, h(2) = 3 and h'(2) = 4.

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Q: 5. State the equation of f(x) if D = {xER\x - and the y-intercept is (0, ;) 2x+1 x+1 f(x) : f(x) а.…

A: Equation of the function

Q: 5 2 11 what is 3 Given that f(æ)dæ : f(s)ds?

A: We will use the following 2 properties of definite integrals to find the answer

Q: 2 Let fCx) = x"+ 3X twen f Gx) %3D 3 3. (XD = Ux +6 X - X

A: Note: As per the company guidelines we are supposed to answer the first question only. Kindly ask…

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: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

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Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: 10 if f(x)= t +P, then %3D f'(X) = f'(-2)=

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Q: 8 2 f(x)dx -43, then | f(t)dt = If 8.

A: Given By the property of definite integral, we have

Q: If S f(t)dt : 3x2 + 12x, what are the possible values of a? Verify that your values of a are…

A: The given integral relation is: ∫axf(t)dt=3x2+12x From the fundamental theorem of calculus,…

Q: If f(z) = 5.7x +6.9, then, f(x+h) is:

A: Given : fx =  5.7x+6.9

Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…

A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…

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: Ex 2. Find the critical points for: |a) f(x)= 2x³ +3x? b) f(x) ={Vx² –1

A: Critical points are the points where local maxima or minima of a function occurs.

Q: 8. 4 13 what is 3 | f(v)dv? Given that f(x)dx 4 8

A: Given: ∫48fxdx=133

Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

Q: If f, g L₂ then [S* S(x)g (x) dx ] * ≤ [f*° ƒ^²(x)dx ] [1° g² (x) dx]

A: This is the famous Cauchy Schwarz inequality for integrals. It follows by working with quadratic…

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: s+1 If F(s) = then s(s-3) ' %3D

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Q: -10 8. If S" f(x)dx = 4 and Siof(x)dx = 7, then f(x)dx = -3 %3D (a) 0 (b) –3 (c) 3 (d) 11 |

A: Given:-

Q: If f(x) = x° and g(x) = 0.5f(x), what is the value of g(x) at x = 2? %3D

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Q: -10 9. If S"f(x) + g(x))dx = 10, Sio g(x)dx = 3 and So 3f (x)dx = -45, 10 find f(x)dx

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Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: What is the particular eq. of the given:   y"-3y'+2y= xe^x +1

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: 2. (1 point) If § f(x)dx = 12 and f(x)dx = 4 then which of the following statements is FALSE? (A)…

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Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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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: Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =

A: Find fy (4,1) if f(x,y) = e^x^2 – 12y fy (4,1) =

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: Q2: Solve the following FLPP by Approximation of Fractional objective * ? function 3x; +3x, +2x, +1…

A: Given FLPP is Max Z=3x1+3x2+2x3+12x1+x2+x3+1s.t.2x1+5x2+x3≤2x1+2x2+3x3≤3x1,x2,x3≥0 Now adding slack…

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

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

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

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Q: 1) If h(x) = x³ +1, find h-'(x). (A) h-'(x) = 3+ (x +2)³ (B) h-(x) = Vx – 1 (C) h-(x) = 2r³ – 3 (D)…

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Q: I Findk the GS op the bE (x+3y)kk +(3x+g-) dy mo 50

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Q: Solve the problem. 3. 3 2f(u) du and Suppose that f(x) dx = -4. Find - f(u) du . -2; -4 -8; -7 -8; 4…

A: Given: ∫23f(x)dx=-4 ∫232f(u) du and ∫23-f(u) du The first fundamental theorem of calculus :…

Q: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

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Q: If f(x.y) x-Vy²+4 find дхду -y 3 (y? +4)2 OA. В. 2y (v? +4)2 C. None of these 2y D. 1- (y? + 4)2

A: The given function is: f(x,y)=x-y2+4

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D)…

A: To find out F(1)-F(-1).

Q: 4. If u = f(x), then k +C for some constant k. dx = x* + 2x2 + 1 x² + 1 Compute kf (1). (a) 4 (b) –…

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Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

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: Suppose X has the p.d.f. fX(x) = 1/√10πe^(-(x+2)^2)/10      (a) What is E(X) and Var(X)? (b)…

A: Given  fX(x) = 1/√10πe^(-(x+2)^2)/10

Q: If S. f(t)dt = 3x² + 12x, what are the possible values of a? Verify that your values of a are…

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Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

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