Find particular solutions for the following nonhomogeneous ODEs. (a) y′′ − 3y′ + 2y = (1 + x)e^3x (b) y′′ + 2y′ + y = (2 + 3x)e^−x (c) y′′ + 2y′ + y = (6 cos(x) + 17 sin(x)) e^x.

Q: 1. Find the first and second derivatives. (a) f(x) = e + x³ (b) g (t) = sin(t) + 2 cos (t) (c) h(x)…

A: according to bartleby guide line we do only first part of multiple questions.(a) given

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

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Q: 1 lim h-0 2h sin(x²)dx = %3D -2h O cos(1) sin(1)

A: Using Fundamental theorem of calculus: ∫-2h0sin(x2)dx=sin(0)-sin((-2h)2)=0-sin(4h2)=-sin(4h2)

Q: 2. (a) This is correct. (b) This is correct. (c) This is incorrect. Because the differentiation is…

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Q: 6. Find Sin 5x (b) y = THcos 5x dx

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Q: 4sinx (x)cos (x)dx = (0) (b) () (d) (e) None 16

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Q: 6. Find the following derivatives. d (a) a (x²/³ e² (cos (2) - e-*x) sin (2x)) dx (b) tan (30)…

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Q: 3. Find the derivative. sh (a)l= - पक) (a) f(x) = x2 cos x +x tan r (b) h(x) = e" (x² + 4x) %3D t2…

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Q: Find the derivative ( of the following functions dx a.y = (4x² - 1)(7x³ + x) b.y = e²x cos x sin x…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: on Find an equation for the function f(x) whose derivative is f'(x) = 4sin(8x) and whose graph…

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Q: f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 6,    f ″(0) = 7 Find f.

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Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

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Q: Help

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Q: Q.2: Find dx 2) | (cos²x sinx )dx

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Q: Find the derivative of y=2ecos.x)(sin(5x)) d'y Calculate as a function of t if x=t-t and y=t-t 2 dx?…

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Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

Q: (2x) Sinx 2. Prove that (1) Jy₂ (x)=√√(x) =_ (11) J-y₂(x) = √(3/1²) Cosx

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Q: Solve y = (1 + y) sec (x) + tan (x) a. y = (x + c) [sec (x) + tan (x)] b. y = (c x) [sec (x) + tan…

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Q: 1. Use the basic differential properties shown in section 3-5 to find each indicated derivative. (A)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: 2. Find the derivatives of the following functions. (i) y = In²(cos ¹(2x))+ √coth x² (ii) y =…

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Q: On page 176, we have an expression maximizes E[W] - bVar(W)/2. If you use the utility function as…

A: Given    Ux=1-e-b2x Therefore  EUW=1-Ee-b2W Given that if Zis a normal random variable then eZ is…

Q: 2. Find the derivatives of the following functions. 4 a. f(x) = 3x³ x2 b. f(x) = (4 – x²)" C. f(x) =…

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