f(x) dx = 4, Suppose f(x) dx = 3, g(x) dx = 2. Which, if any, of the following statements are true? f(x) dx = -3 a. + g(x)) = 9 (f(x) + b. c. f(x) s g(x) on the interval -2 sxs 5

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: an initial value problem  is an ordinary differential equation together with an initial condition…

Q: اجب عن السؤال - ODE dy _ (x² + y²) dx x2 Y + x²y = c x² + y²x = c 3 x2 +y?x = c 3.

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A: Solution is given as below:

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

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A: Given that                          y=x+1x2x-3

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A: Let f(x) = x3- 3x2-1,  x ≥ 2. Find the value of df-1/dx at the point x = -1.

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A: The given integral equation is ∫821fxdx-∫811fxdx=∫abfxdx.

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A: As no method is mentioned, I am using Taylor polynomial of order 2 for approximation.

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A: Using partial fraction to solve the problem.

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Q: 3- Suppose that s(x)dx 5. Find A- B- S V3 f(2)dz D-

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A: Solution

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Q: Evaluate. [4.3, 4.4] 20. x³ dx 21. 22. + x) dx 23. -dx Sx + 2, f(x) dx, where f(x) = 12 - Vx, for x>…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

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Q: 3 Let f(x) = 8x° 1 df 15x - 5, x2 1.5. Find the value of dx at the point x= 2004 = f(7). %3D

A: Known fact: derivative of f-1x=1f' f-1x.

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A: ∫36-3gxdx=∫36-3dx·∫36gxdx Also, ∫36gxdx=1

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A: Convert rational function into partial fraction. And than integrate function.

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A: Here we use the concept of implicit differentiation.

Q: -5 f(x) dx = 6, | f(x) dæ = 6, f(x) dx Let = 2. -2 /" f(2) dz = Then -5 (6f(x) – 6) dæ = and - -2

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Q: x2+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into AS+ B ƒ f(x)dx + D S g(x)dx , then Lif(x)dx –…

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Q: '5 If f(x) dx = 8 and f(x) dx = 5.3, find f(x) dx. If f(x) dx = 31 and g(x) dx = 14, find [4f(x) +…

A: 1. ∫17f(x)dx=8 and ∫57f(x)dx=5.32.∫07f(x)dx=31 and ∫07g(x)dx=14

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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A: The given equation is as follows. Solve the function by partial fractions as follows.