19. f(x) x-3, g(x) = Vx + 4 20. f(x) = x+ 2, g(x) x – 3, g(x) - Vx - 1 EE

Q: -16 1Δίνεται η συνάρτηση f)- 2x+8x i) Ποιο είναι το πεδίο ορισμού της f i) Να απλοποιήσετε τον τύπο…

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Q: 2 y = g(x) -1 -2 -3 0 1 2 4 5 6 7 3. 3. 1.

A: Given

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

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Q: In Exercises 7–10, use the formal definition of limit to prove that the function is continuous at c.

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Q: 4. Given that (fog)(x)3= 4. and f(x) = Sx+4 9x-2 Determine g(x). Hence, find g(0)

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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. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

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Q: 2s +10s F(s)=D (s²–2s +5)(s+1)

A: As per our guidelines we are supposed to answer only 1st one. Please repost 2nd question. Thank you…

Q: Can you please answer this question and show the work

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Q: 1) F(x) = Vx+5 %3D x2-16 2x-8 2) h(x) = Vx2-15x+56

A: The domain of a function is the set of values which can be input into a function without the…

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

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

A: Here we use python to solve this problem.

Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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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: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

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Q: 2. f(x) = x| (0, 1)

A: Given: fx=x, 0,1

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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Q: ® find f'cx) if fCx) - 4x4 ex+A

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Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

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

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Q: Sx² +2x + 1 d. h(x) = 15x – 1 - VRIGH 3x + 2 e. f(x) = {x +5 x² - 5 x 4 A VI

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Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

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Q: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: 3) Ar) = VF g(x) = V-(r + 2) – 3 4) Ax) = VF g(x) = - Vx + 3 5) Ar) = Vx g(x) = -2 Vx - 1 6) Ax) =…

A: We have to find translation

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

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Q: Solve the iitial Value problem f<x)=2ピ+! f()%3D1

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Q: If 0.3 is added to 0.2 times the quantity x − 3, the result is 2.5. What is thevalue of x?

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Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

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Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: find the (a) domain and (b) range

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Q: 4) Find the value of the function f (x) given in the table below at the point x = 3 by Aitken…

A: Aitken method is used to find out the interpolation value of the function f(x) at a particular x…

Q: Find the critical numbers of the function: g(t)= |4t-5| Thank you!

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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: -8 2. If [g(x)dx =-4 and [g(x)dx =6 ,what is [g(x)dx ? 2 -8 А. 10 В. 2 С. —2 D. -10

A: Calculate the integral

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: :- (t3 + 5t2 + 7)dt If f(x) : then f'"(x) =

A:

Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: 9 2. If fS(x)dx= 37 and g(x)dx=16, = 16, find [2f(x)+3g(x) ]dx- %3D 0.

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Q: Compute f(x)dx 2x if x <1 4 if x21 f(x) =

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Q: 5. Obtain the general solution. Use homogenous functions for this problem. (2x°y - xy? + y³)d« -…

A: We will solve the following

Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

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: 4s+2 1. F(s) = s² +6s+34

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Q: Now we can say the most general antiderivative of g(x) 8 - 3x° + 7x° is G(x) = 8 5x + 7 X. X + C.

A: Here we have to find the most general antiderivative of  g(x)=(8-3x3+7x6)/x6 .

Q: 3. Find the absolute maximum and minimum values of the function f(x,y)=x-2.xy +2y on the rectangle D…

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Q: 1 If L{f(t)} 2e-4s determine f(t) 2s2 s(1 – e-4s)' -

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Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32